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192 Publications


2017 | Dissertation | LibreCat-ID: 10594
@book{Peitz_2017, title={  Exploiting structure in multiobjective optimization and optimal control}, DOI={10.17619/UNIPB/1-176}, author={Peitz, Sebastian}, year={2017} }
LibreCat | Files available | DOI | Download (ext.)
 

2009 | Journal Article | LibreCat-ID: 16499
@article{Biasco_Di Gregorio_2009, title={A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation}, DOI={10.1007/s00205-009-0240-y}, journal={Archive for Rational Mechanics and Analysis}, author={Biasco, Luca and Di Gregorio, Laura}, year={2009}, pages={303–362} }
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2016 | Conference Paper | LibreCat-ID: 8758
@inproceedings{Eckstein_Peitz_Schäfer_Friedel_Köhler_Molo_Ober-Blöbaum_Dellnitz_2016, title={A Comparison of two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles}, DOI={10.1016/j.protcy.2016.08.059}, booktitle={Procedia Technology}, author={Eckstein, Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler, Ulrich and Molo, Mirko Hessel-von and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2016}, pages={465–472} }
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2000 | Book Chapter | LibreCat-ID: 16553
@inbook{Dellnitz_Froyland_Sertl_2000, title={A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}, DOI={10.1142/9789812792617_0199}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000} }
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2018 | Conference Paper | LibreCat-ID: 8750
@inproceedings{Gebken_Peitz_Dellnitz_2018, place={Cham}, title={A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems}, DOI={10.1007/978-3-319-96104-0_2}, booktitle={Numerical and Evolutionary Optimization – NEO 2017}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2018} }
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2007 | Conference Paper | LibreCat-ID: 16666
@inproceedings{Schütze_Talbi_Pulido_Coello_Santana-Quintero_2007, title={A Memetic PSO Algorithm for Scalar Optimization Problems}, DOI={10.1109/sis.2007.368036}, booktitle={2007 IEEE Swarm Intelligence Symposium}, author={Schütze, Oliver and Talbi, El-ghazali and Pulido, Gregorio Toscano and Coello, Carlos Coello and Santana-Quintero, Luis Vicente}, year={2007} }
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2009 | Journal Article | LibreCat-ID: 16574
@article{Dellnitz_Ober-Blöbaum_Post_Schütze_Thiere_2009, title={A multi-objective approach to the design of low thrust space trajectories using optimal control}, DOI={10.1007/s10569-009-9229-y}, journal={Celestial Mechanics and Dynamical Astronomy}, author={Dellnitz, Michael and Ober-Blöbaum, Sina and Post, Marcus and Schütze, Oliver and Thiere, Bianca}, year={2009}, pages={33–59} }
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2017 | Journal Article | LibreCat-ID: 8756
@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles}, volume={50}, DOI={10.1016/j.ifacol.2017.08.1526}, number={1}, journal={IFAC-PapersOnLine}, author={Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}, year={2017}, pages={8674–8679} }
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2017 | Journal Article | LibreCat-ID: 16657
@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This research was funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (it’s OWL).}, DOI={10.1016/j.ifacol.2017.08.1526}, journal={IFAC-PapersOnLine}, author={Peitz, Sebastian and Schäfer, Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz, Michael}, year={2017}, pages={8674–8679} }
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2013 | Conference Paper | LibreCat-ID: 16643
@inproceedings{Ober-Blöbaum_Seifried_2013, title={A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties}, DOI={10.23919/ecc.2013.6669594}, booktitle={2013 European Control Conference (ECC)}, author={Ober-Blöbaum, Sina and Seifried, Albert}, year={2013} }
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2008 | Journal Article | LibreCat-ID: 16678
@article{Witting_Schulz_Dellnitz_Böcker_Fröhleke_2008, title={A new approach for online multiobjective optimization of mechatronic systems}, DOI={10.1007/s10009-008-0066-1}, journal={International Journal on Software Tools for Technology Transfer}, author={Witting, Katrin and Schulz, Bernd and Dellnitz, Michael and Böcker, Joachim and Fröhleke, Norbert}, year={2008}, pages={223–231} }
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2003 | Book Chapter | LibreCat-ID: 16664
@inbook{Schütze_2003, place={Berlin, Heidelberg}, title={A New Data Structure for the Nondominance Problem in Multi-objective Optimization}, DOI={10.1007/3-540-36970-8_36}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver}, year={2003} }
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1995 | Journal Article | LibreCat-ID: 16542
@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma and symmetric periodic points}, DOI={10.1088/0951-7715/8/6/010}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075} }
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2004 | Journal Article | LibreCat-ID: 16527
@article{Day_Junge_Mischaikow_2004, title={A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems}, DOI={10.1137/030600210}, journal={SIAM Journal on Applied Dynamical Systems}, author={Day, S. and Junge, O. and Mischaikow, K.}, year={2004}, pages={117–160} }
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2004 | Journal Article | LibreCat-ID: 16619
@article{Junge_Osinga_2004, title={A set oriented approach to global optimal control}, DOI={10.1051/cocv:2004006}, journal={ESAIM: Control, Optimisation and Calculus of Variations}, author={Junge, Oliver and Osinga, Hinke M.}, year={2004}, pages={259–270} }
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2005 | Journal Article | LibreCat-ID: 16613
@article{Grüne_Junge_2005, title={A set oriented approach to optimal feedback stabilization}, DOI={10.1016/j.sysconle.2004.08.005}, journal={Systems & Control Letters}, author={Grüne, Lars and Junge, Oliver}, year={2005}, pages={169–180} }
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2017 | Journal Article | LibreCat-ID: 16581
@article{Dellnitz_Klus_Ziessler_2017, title={A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty}, DOI={10.1137/16m1072735}, journal={SIAM Journal on Applied Dynamical Systems}, author={Dellnitz, Michael and Klus, Stefan and Ziessler, Adrian}, year={2017}, pages={120–138} }
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2020 | Journal Article | LibreCat-ID: 16710
@article{Gerlach_Ziessler_Eckhardt_Dellnitz_2020, title={A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors}, DOI={10.1137/19m1247139}, journal={SIAM Journal on Applied Dynamical Systems}, author={Gerlach, Raphael and Ziessler, Adrian and Eckhardt, Bruno and Dellnitz, Michael}, year={2020}, pages={705–723} }
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1997 | Journal Article | LibreCat-ID: 17015
@article{Dellnitz_Hohmann_1997, title={A subdivision algorithm for the computation of unstable manifolds and global attractors}, volume={75}, DOI={10.1007/s002110050240}, journal={Numerische Mathematik}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1997}, pages={293–317} }
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2005 | Journal Article | LibreCat-ID: 16627
@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005, title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields}, DOI={10.1142/s0218127405012533}, journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791} }
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2018 | Journal Article | LibreCat-ID: 8751
@article{Peitz_Dellnitz_2018, title={A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction}, volume={23}, DOI={10.3390/mca23020030}, number={2}, journal={Mathematical and Computational Applications}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2018} }
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2013 | Journal Article | LibreCat-ID: 16677
@article{Witting_Ober-Blöbaum_Dellnitz_2013, title={A variational approach to define robustness for parametric multiobjective optimization problems}, DOI={10.1007/s10898-012-9972-6}, journal={Journal of Global Optimization}, author={Witting, Katrin and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2013}, pages={331–345} }
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1995 | Journal Article | LibreCat-ID: 16532
@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing bifurcations}, DOI={10.1088/0951-7715/8/6/009}, journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066} }
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2018 | Journal Article | LibreCat-ID: 16714
@article{Vieluf_Mora_Gölz_Reuter_Godde_Dellnitz_Reinsberger_Voelcker-Rehage_2018, title={Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control}, DOI={10.1016/j.neuroscience.2018.07.025}, journal={Neuroscience}, author={Vieluf, Solveig and Mora, Karin and Gölz, Christian and Reuter, Eva-Maria and Godde, Ben and Dellnitz, Michael and Reinsberger, Claus and Voelcker-Rehage, Claudia}, year={2018}, pages={203–213} }
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1997 | Journal Article | LibreCat-ID: 16535
@article{Dellnitz_Junge_1997, title={Almost Invariant Sets in Chua’s Circuit}, DOI={10.1142/s0218127497001655}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver}, year={1997}, pages={2475–2485} }
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1997 | Journal Article | LibreCat-ID: 16614
@article{Guder_Dellnitz_Kreuzer_1997, title={An adaptive method for the approximation of the generalized cell mapping}, DOI={10.1016/s0960-0779(96)00118-x}, journal={Chaos, Solitons & Fractals}, author={Guder, Rabbijah and Dellnitz, Michael and Kreuzer, Edwin}, year={1997}, pages={525–534} }
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1998 | Journal Article | LibreCat-ID: 16536
@article{Dellnitz_Junge_1998, title={An adaptive subdivision technique for the approximation of attractors and invariant measures}, DOI={10.1007/s007910050006}, journal={Computing and Visualization in Science}, author={Dellnitz, Michael and Junge, Oliver}, year={1998}, pages={63–68} }
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2001 | Journal Article | LibreCat-ID: 16617
@article{Junge_2001, title={An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence}, DOI={10.1080/14689360109696233}, journal={Dynamical Systems}, author={Junge, Oliver}, year={2001}, pages={213–222} }
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2011 | Journal Article | LibreCat-ID: 16624
@article{Klus_Sahai_Liu_Dellnitz_2011, title={An efficient algorithm for the parallel solution of high-dimensional differential equations}, DOI={10.1016/j.cam.2010.12.026}, journal={Journal of Computational and Applied Mathematics}, author={Klus, Stefan and Sahai, Tuhin and Liu, Cong and Dellnitz, Michael}, year={2011}, pages={3053–3062} }
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2021 | Journal Article | LibreCat-ID: 16867
@article{Gebken_Peitz_2021, title={An efficient descent method for locally Lipschitz multiobjective optimization problems}, DOI={10.1007/s10957-020-01803-w}, journal={Journal of Optimization Theory and Applications}, author={Gebken, Bennet and Peitz, Sebastian}, year={2021} }
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2013 | Conference Paper | LibreCat-ID: 17048
@inproceedings{Timmermann_Dellnitz_2013, title={Analysis of team and player performance using recorded trajectory data}, booktitle={Performance Analysis of Sport IX, Part 8, Routledge}, author={Timmermann, Robert and Dellnitz, Michael}, year={2013} }
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2018 | Preprint | LibreCat-ID: 16293
@article{Klus_Peitz_Schuster_2018, title={Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions}, journal={arXiv:1805.10118}, author={Klus, Stefan and Peitz, Sebastian and Schuster, Ingmar}, year={2018} }
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2007 | Book Chapter | LibreCat-ID: 16658
@inbook{Preis_Monien_Schamberger_2007, title={Approximation Algorithms for Multilevel Graph Partitioning}, DOI={10.1201/9781420010749.ch60}, booktitle={Handbook of Approximation Algorithms and Metaheuristics}, author={Preis, Robert and Monien, Burkhard and Schamberger, Stefan}, year={2007} }
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2013 | Journal Article | LibreCat-ID: 16583
@article{Demoures_Gay-Balmaz_Leitz_Leyendecker_Ober-Blöbaum_Ratiu_2013, title={Asynchronous variational Lie group integration for geometrically exact beam dynamics}, DOI={10.1002/pamm.201310018}, journal={PAMM}, author={Demoures, Francois and Gay-Balmaz, Francois and Leitz, Thomas and Leyendecker, Sigrid and Ober-Blöbaum, Sina and Ratiu, Tudor S.}, year={2013}, pages={45–46} }
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1994 | Journal Article | LibreCat-ID: 17014
@article{Dellnitz_1994, title={Collisions of chaotic attractors}, journal={Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg}, author={Dellnitz, Michael}, year={1994}, pages={411–428} }
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1999 | Book Chapter | LibreCat-ID: 16584
@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg}, title={Computation of Essential Molecular Dynamics by Subdivision Techniques}, DOI={10.1007/978-3-642-58360-5_5}, booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard, Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999} }
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2009 | Journal Article | LibreCat-ID: 16545
@article{Dellnitz_Witting_2009, title={Computation of robust Pareto points}, DOI={10.1504/ijcsm.2009.027876}, number={243}, journal={International Journal of Computing Science and Mathematics}, author={Dellnitz, M. and Witting, K.}, year={2009} }
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2003 | Journal Article | LibreCat-ID: 16498
@article{Aston_Dellnitz_2003, title={Computation of the dominant Lyapunov exponent via spatial integration using matrix norms}, DOI={10.1098/rspa.2003.1143}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, author={Aston, P. J. and Dellnitz, M.}, year={2003}, pages={2933–2955} }
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1992 | Journal Article | LibreCat-ID: 17012
@article{Dellnitz_1992, title={Computational bifurcation of periodic solutions in systems with symmetry}, volume={12}, DOI={10.1093/imanum/12.3.429}, number={3}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, Michael}, year={1992}, pages={429–455} }
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1989 | Journal Article | LibreCat-ID: 16682
@article{Dellnitz_Werner_1989, title={Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points}, DOI={10.1016/0377-0427(89)90150-7}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Werner, Bodo}, year={1989}, pages={97–123} }
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2013 | Journal Article | LibreCat-ID: 16608
@article{Gail_Leyendecker_Ober-Blöbaum_2013, title={Computing time investigations for variational multirate integration}, DOI={10.1002/pamm.201310017}, journal={PAMM}, author={Gail, Tobias and Leyendecker, Sigrid and Ober-Blöbaum, Sina}, year={2013}, pages={43–44} }
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2003 | Book Chapter | LibreCat-ID: 16543
@inbook{Dellnitz_Preis_2003, place={Berlin, Heidelberg}, title={Congestion and Almost Invariant Sets in Dynamical Systems}, DOI={10.1007/3-540-45084-x_8}, booktitle={Lecture Notes in Computer Science}, author={Dellnitz, Michael and Preis, Robert}, year={2003} }
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2010 | Book Chapter | LibreCat-ID: 16575
@inbook{Dellnitz_Padberg_Preis_Thiere_2010, place={Dordrecht}, title={Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem}, DOI={10.1007/978-90-481-9884-9_12}, booktitle={Nonlinear Science and Complexity}, author={Dellnitz, Michael and Padberg, Kathrin and Preis, Robert and Thiere, Bianca}, year={2010} }
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2019 | Journal Article | LibreCat-ID: 16709
@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations for the traveling salesman problem}, DOI={10.1007/s11071-019-05092-5}, journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus, Stefan and Dellnitz, Michael}, year={2019} }
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2014 | Journal Article | LibreCat-ID: 16597
@article{Flaßkamp_Timmermann_Ober-Blöbaum_Trächtler_2014, title={Control strategies on stable manifolds for energy-efficient swing-ups of double pendula}, DOI={10.1080/00207179.2014.893450}, journal={International Journal of Control}, author={Flaßkamp, Kathrin and Timmermann, Julia and Ober-Blöbaum, Sina and Trächtler, Ansgar}, year={2014}, pages={1886–1905} }
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2018 | Preprint | LibreCat-ID: 16292
@article{Peitz_2018, title={Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data}, journal={arXiv:1801.06419}, author={Peitz, Sebastian}, year={2018} }
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2008 | Journal Article | LibreCat-ID: 16668
@article{Schütze_Laumanns_Coello Coello_Dellnitz_Talbi_2008, title={Convergence of stochastic search algorithms to finite size pareto set approximations}, DOI={10.1007/s10898-007-9265-7}, journal={Journal of Global Optimization}, author={Schütze, Oliver and Laumanns, Marco and Coello Coello, Carlos A. and Dellnitz, Michael and Talbi, El-Ghazali}, year={2008}, pages={559–577} }
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2003 | Book Chapter | LibreCat-ID: 16665
@inbook{Schütze_Mostaghim_Dellnitz_Teich_2003, place={Berlin, Heidelberg}, title={Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques}, DOI={10.1007/3-540-36970-8_9}, booktitle={Lecture Notes in Computer Science}, author={Schütze, Oliver and Mostaghim, Sanaz and Dellnitz, Michael and Teich, Jürgen}, year={2003} }
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2005 | Journal Article | LibreCat-ID: 16684
@article{Dellnitz_Sch�tze_Hestermeyer_2005, title={Covering Pareto Sets by Multilevel Subdivision Techniques}, DOI={10.1007/s10957-004-6468-7}, journal={Journal of Optimization Theory and Applications}, author={Dellnitz, M. and Sch�tze, O. and Hestermeyer, T.}, year={2005}, pages={113–136} }
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1995 | Journal Article | LibreCat-ID: 16550
@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos}, DOI={10.1142/s0218127495000909}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995}, pages={1243–1247} }
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2020 | Journal Article | LibreCat-ID: 16288
@article{Klus_Nüske_Peitz_Niemann_Clementi_Schütte_2020, title={Data-driven approximation of the Koopman generator: Model reduction, system identification, and control}, volume={406}, DOI={10.1016/j.physd.2020.132416}, number={132416}, journal={Physica D: Nonlinear Phenomena}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian and Niemann, Jan-Hendrik and Clementi, Cecilia and Schütte, Christof}, year={2020} }
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2020 | Journal Article | LibreCat-ID: 16309
@article{Peitz_Otto_Rowley_2020, title={Data-Driven Model Predictive Control using Interpolated Koopman  Generators}, volume={19}, DOI={10.1137/20M1325678}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Peitz, Sebastian and Otto, Samuel E. and Rowley, Clarence W.}, year={2020}, pages={2162–2193} }
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2020 | Journal Article | LibreCat-ID: 16290
@article{Bieker_Peitz_Brunton_Kutz_Dellnitz_2020, title={Deep model predictive flow control with limited sensor data and online learning}, volume={34}, DOI={10.1007/s00162-020-00520-4}, journal={Theoretical and Computational Fluid Dynamics}, author={Bieker, Katharina and Peitz, Sebastian and Brunton, Steven L. and Kutz, J. Nathan and Dellnitz, Michael}, year={2020}, pages={577–591} }
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2005 | Conference Paper | LibreCat-ID: 16631
@inproceedings{Li_Pottharst_Frohieke_Becker_Witting_Dellnitz_Znamenshchykov_Feldmann_2005, title={Design and implementation of a hybrid energy supply system for railway vehicles}, DOI={10.1109/apec.2005.1452979}, booktitle={Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.}, author={Li, R. and Pottharst, A. and Frohieke, N. and Becker, J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.}, year={2005} }
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2009 | Journal Article | LibreCat-ID: 16669
@article{Schütze_Vasile_Junge_Dellnitz_Izzo_2009, title={Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach}, DOI={10.1080/03052150802391734}, journal={Engineering Optimization}, author={Schütze, Oliver and Vasile, Massimiliano and Junge, Oliver and Dellnitz, Michael and Izzo, Dario}, year={2009}, pages={155–181} }
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2003 | Journal Article | LibreCat-ID: 16600
@article{Froyland_Dellnitz_2003, title={Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles}, DOI={10.1137/s106482750238911x}, journal={SIAM Journal on Scientific Computing}, author={Froyland, Gary and Dellnitz, Michael}, year={2003}, pages={1839–1863} }
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2010 | Conference Paper | LibreCat-ID: 16675
@inproceedings{Thiere_Ober-Blöbaum_Pergola_2010, title={Detecting Initial Guesses for Trajectories in the (P)CRTBP}, DOI={10.2514/6.2010-7962}, booktitle={AIAA/AAS Astrodynamics Specialist Conference}, author={Thiere, Bianca and Ober-Blöbaum, Sina and Pergola, Pierpaolo}, year={2010} }
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1993 | Journal Article | LibreCat-ID: 16518
@article{Barany_Dellnitz_Golubitsky_1993, title={Detecting the symmetry of attractors}, DOI={10.1016/0167-2789(93)90198-a}, journal={Physica D: Nonlinear Phenomena}, author={Barany, Ernest and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={66–87} }
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2007 | Journal Article | LibreCat-ID: 16602
@article{Froyland_Padberg_England_Treguier_2007, title={Detection of Coherent Oceanic Structures via Transfer Operators}, DOI={10.1103/physrevlett.98.224503}, journal={Physical Review Letters}, author={Froyland, Gary and Padberg, Kathrin and England, Matthew H. and Treguier, Anne Marie}, year={2007} }
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2014 | Conference Paper | LibreCat-ID: 8761
@inproceedings{Dellnitz_Eckstein_Flaßkamp_Friedel_Horenkamp_Köhler_Ober-Blöbaum_Peitz_Tiemeyer_2014, title={Development of an Intelligent Cruise Control Using Optimal Control Methods}, volume={15}, DOI={10.1016/j.protcy.2014.09.082}, booktitle={Procedia Technology}, author={Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}, year={2014}, pages={285–294} }
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2002 | Journal Article | LibreCat-ID: 16586
@article{Elsässer_Monien_Preis_2002, title={Diffusion Schemes for Load Balancing on Heterogeneous Networks}, DOI={10.1007/s00224-002-1056-4}, journal={Theory of Computing Systems}, author={Elsässer, Robert and Monien, Burkhard and Preis, Robert}, year={2002}, pages={305–320} }
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2012 | Journal Article | LibreCat-ID: 16635
@article{Meyer_2012, title={Discontinuity Induced Bifurcations in Timed Continuous Petri Nets}, DOI={10.3182/20121003-3-mx-4033.00008}, journal={IFAC Proceedings Volumes}, author={Meyer, A.}, year={2012}, pages={28–33} }
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2007 | Conference Paper | LibreCat-ID: 16630
@inproceedings{Leyendecker_Ober-Blöbaum_Marsden_Ortiz_2007, title={Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics}, DOI={10.1115/detc2007-34574}, booktitle={Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C}, author={Leyendecker, Sigrid and Ober-Blöbaum, Sina and Marsden, Jerrold E. and Ortiz, Michael}, year={2007} }
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2015 | Journal Article | LibreCat-ID: 16582
@article{Demoures_Gay-Balmaz_Leyendecker_Ober-Blöbaum_Ratiu_Weinand_2015, title={Discrete variational Lie group formulation of geometrically exact beam dynamics}, DOI={10.1007/s00211-014-0659-4}, journal={Numerische Mathematik}, author={Demoures, F. and Gay-Balmaz, F. and Leyendecker, S. and Ober-Blöbaum, S. and Ratiu, T. S. and Weinand, Y.}, year={2015}, pages={73–123} }
LibreCat | DOI
 

2013 | Conference Paper | LibreCat-ID: 16672
@inproceedings{Specht_Ober-Blobaum_Wallscheid_Romaus_Bocker_2013, title={Discrete-time model of an IPMSM based on variational integrators}, DOI={10.1109/iemdc.2013.6556322}, booktitle={2013 International Electric Machines & Drives Conference}, author={Specht, Andreas and Ober-Blobaum, Sina and Wallscheid, Oliver and Romaus, Christoph and Bocker, Joachim}, year={2013} }
LibreCat | DOI
 

2013 | Conference Paper | LibreCat-ID: 16594
@inproceedings{Flasskamp_Murphey_Ober-Blobaum_2013, title={Discretized switching time optimization problems}, DOI={10.23919/ecc.2013.6669577}, booktitle={2013 European Control Conference (ECC)}, author={Flasskamp, Kathrin and Murphey, Todd and Ober-Blobaum, Sina}, year={2013} }
LibreCat | DOI
 

2008 | Conference Paper | LibreCat-ID: 16623
@inproceedings{Klöpper_Podlogar_Gausemeier_Witting_2008, title={Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems}, DOI={10.1109/dexa.2008.111}, booktitle={2008 19th International Conference on Database and Expert Systems Applications}, author={Klöpper, Benjamin and Podlogar, Herbert and Gausemeier, Jürgen and Witting, Katrin}, year={2008} }
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16544
@inbook{Dellnitz_Scheurle_1994, place={Dordrecht}, title={Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom}, DOI={10.1007/978-94-011-0956-7_9}, booktitle={Dynamics, Bifurcation and Symmetry}, author={Dellnitz, Michael and Scheurle, Jürgen}, year={1994} }
LibreCat | DOI
 

2012 | Conference Paper | LibreCat-ID: 16589
@inproceedings{Flaskamp_Ober-Blobaum_2012, title={Energy efficient control for mechanical systems based on inherent dynamical structures}, DOI={10.1109/acc.2012.6314820}, booktitle={2012 American Control Conference (ACC)}, author={Flaskamp, K. and Ober-Blobaum, S.}, year={2012} }
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16626
@inproceedings{Knoke_Romaus_Bocker_Dell’Aere_Witting_2006, title={Energy Management for an Onboard Storage System Based on Multi-Objective Optimization}, DOI={10.1109/iecon.2006.347705}, booktitle={IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics}, author={Knoke, Tobias and Romaus, Christoph and Bocker, Joachim and Dell’Aere, Alessandro and Witting, Katrin}, year={2006} }
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16663
@inproceedings{Schneider_Schulz_Henke_Witting_Steenken_Bocker_2009, title={Energy transfer via linear doubly-fed motor in different operating modes}, DOI={10.1109/iemdc.2009.5075267}, booktitle={2009 IEEE International Electric Machines and Drives Conference}, author={Schneider, T. and Schulz, B. and Henke, C. and Witting, K. and Steenken, D. and Bocker, J.}, year={2009} }
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16297
@article{Hernández Castellanos_Ober-Blöbaum_Peitz_2020, title={Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty}, volume={30}, DOI={10.1002/rnc.5197}, number={17}, journal={International Journal of Robust and Nonlinear Control}, author={Hernández Castellanos, Carlos Ignacio and Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2020}, pages={7593–7618} }
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 16294
@article{Ober-Blöbaum_Peitz_2021, title={Explicit multiobjective model predictive control for nonlinear systems  with symmetries}, volume={31}, DOI={10.1002/rnc.5281}, number={2}, journal={International Journal of Robust and Nonlinear Control}, author={Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2021}, pages={380–403} }
LibreCat | DOI | Download (ext.)
 

1997 | Journal Article | LibreCat-ID: 16552
@article{Dellnitz_Hohmann_Junge_Rumpf_1997, title={Exploring invariant sets and invariant measures}, DOI={10.1063/1.166223}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, author={Dellnitz, Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin}, year={1997}, pages={221–228} }
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16598
@inbook{Froyland_2001, place={Boston, MA}, title={Extracting Dynamical Behavior via Markov Models}, DOI={10.1007/978-1-4612-0177-9_12}, booktitle={Nonlinear Dynamics and Statistics}, author={Froyland, Gary}, year={2001} }
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 16289
@inbook{Peitz_Klus_2020, place={Cham}, series={Lecture Notes in Control and Information Sciences}, title={Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator}, volume={484}, DOI={10.1007/978-3-030-35713-9_10}, booktitle={Lecture Notes in Control and Information Sciences}, publisher={Springer}, author={Peitz, Sebastian and Klus, Stefan}, year={2020}, pages={257–282}, collection={Lecture Notes in Control and Information Sciences} }
LibreCat | DOI
 

2002 | Journal Article | LibreCat-ID: 16556
@article{Dellnitz_2002, title={Finding zeros by multilevel subdivision techniques}, DOI={10.1093/imanum/22.2.167}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, M.}, year={2002}, pages={167–185} }
LibreCat | DOI
 

2019 | Conference Paper | LibreCat-ID: 10597
@inproceedings{Hanke_Peitz_Wallscheid_Böcker_Dellnitz_2019, title={Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification}, DOI={10.1109/precede.2019.8753313}, booktitle={2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)}, author={Hanke, Soren and Peitz, Sebastian and Wallscheid, Oliver and Böcker, Joachim and Dellnitz, Michael}, year={2019} }
LibreCat | DOI
 

1992 | Journal Article | LibreCat-ID: 16548
@article{Dellnitz_Melbourne_Marsden_1992, title={Generic bifurcation of Hamiltonian vector fields with symmetry}, DOI={10.1088/0951-7715/5/4/008}, journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I and Marsden, J E}, year={1992}, pages={979–996} }
LibreCat | DOI
 

1992 | Book Chapter | LibreCat-ID: 16547
@inbook{Dellnitz_Marsden_Melbourne_Scheurle_1992, place={Basel}, title={Generic Bifurcations of Pendula}, DOI={10.1007/978-3-0348-7536-3_10}, booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Marsden, Jerrold E. and Melbourne, Ian and Scheurle, Jürgen}, year={1992} }
LibreCat | DOI
 

1994 | Journal Article | LibreCat-ID: 16541
@article{Dellnitz_Melbourne_1994, title={Generic movement of eigenvalues for equivariant self-adjoint matrices}, DOI={10.1016/0377-0427(94)90032-9}, journal={Journal of Computational and Applied Mathematics}, author={Dellnitz, Michael and Melbourne, Ian}, year={1994}, pages={249–259} }
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 16612
@article{Grüne_Junge_2007, title={Global Optimal Control of Perturbed Systems}, DOI={10.1007/s10957-007-9312-z}, journal={Journal of Optimization Theory and Applications}, author={Grüne, L. and Junge, O.}, year={2007}, pages={411–429} }
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16500
@article{Chaudhuri_Sertl_Hajnal_Dellnitz_Frauenheim_2004, title={Global optimization of silicon nanoclusters}, DOI={10.1016/j.apsusc.2003.11.007}, journal={Applied Surface Science}, author={Chaudhuri, I. and Sertl, S. and Hajnal, Z. and Dellnitz, M. and Frauenheim, Th.}, year={2004}, pages={108–113} }
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16671
@article{Sertl_Dellnitz_2006, title={Global Optimization using a Dynamical Systems Approach}, DOI={10.1007/s10898-005-4384-5}, journal={Journal of Global Optimization}, author={Sertl, Stefan and Dellnitz, Michael}, year={2006}, pages={569–587} }
LibreCat | DOI
 

2017 | Conference Paper | LibreCat-ID: 8752
@inproceedings{Peitz_Dellnitz_2017, place={Cham}, title={Gradient-Based Multiobjective Optimization with Uncertainties}, DOI={10.1007/978-3-319-64063-1_7}, booktitle={NEO 2016}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2017}, pages={159–182} }
LibreCat | DOI
 

2006 | Book Chapter | LibreCat-ID: 16559
@inbook{Dellnitz_Molo_Metzner_Preis_Schütte_2006, title={Graph Algorithms for Dynamical Systems}, DOI={10.1007/3-540-35657-6_23}, booktitle={Analysis, Modeling and Simulation of Multiscale Problems}, author={Dellnitz, Michael and Molo, Mirko Hessel-von and Metzner, Philipp and Preis, Robert and Schütte, Christof}, year={2006} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16659
@article{Ringkamp_Ober-Blöbaum_Dellnitz_Schütze_2012, title={Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space}, DOI={10.1080/0305215x.2011.634407}, journal={Engineering Optimization}, author={Ringkamp, Maik and Ober-Blöbaum, Sina and Dellnitz, Michael and Schütze, Oliver}, year={2012}, pages={1117–1146} }
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17041
@article{Campos_Ober-Blöbaum_Trélat_2015, title={High order variational integrators in the optimal control of mechanical systems}, volume={35}, DOI={10.3934/dcds.2015.35.4193}, number={9}, journal={Discrete & Continuous Dynamical Systems - A}, author={Campos, Cédric M. and Ober-Blöbaum, Sina and Trélat, Emmanuel}, year={2015}, pages={4193–4223} }
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16667
@article{Schütze_Coello Coello_Mostaghim_Talbi_Dellnitz_2008, title={Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems}, DOI={10.1080/03052150701821328}, journal={Engineering Optimization}, author={Schütze, Oliver and Coello Coello, Carlos A. and Mostaghim, Sanaz and Talbi, El-Ghazali and Dellnitz, Michael}, year={2008}, pages={383–402} }
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16713
@article{Gölz_Voelcker-Rehage_Mora_Reuter_Godde_Dellnitz_Reinsberger_Vieluf_2018, title={Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics}, DOI={10.3389/fphys.2018.01540}, journal={Frontiers in Physiology}, author={Gölz, Christian and Voelcker-Rehage, Claudia and Mora, Karin and Reuter, Eva-Maria and Godde, Ben and Dellnitz, Michael and Reinsberger, Claus and Vieluf, Solveig}, year={2018} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16696
@article{Zanzottera_Mingotti_Castelli_Dellnitz_2012, title={Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario}, DOI={10.1016/j.cnsns.2011.06.032}, journal={Communications in Nonlinear Science and Numerical Simulation}, author={Zanzottera, A. and Mingotti, G. and Castelli, R. and Dellnitz, M.}, year={2012}, pages={832–843} }
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16295
@article{Gebken_Peitz_2020, title={Inverse multiobjective optimization: Inferring decision criteria from data}, DOI={10.1007/s10898-020-00983-z}, journal={Journal of Global Optimization}, publisher={Springer}, author={Gebken, Bennet and Peitz, Sebastian}, year={2020} }
LibreCat | DOI | Download (ext.)
 

2019 | Journal Article | LibreCat-ID: 10593
@article{Peitz_Klus_2019, title={Koopman operator-based model reduction for switched-system control of PDEs}, volume={106}, DOI={10.1016/j.automatica.2019.05.016}, journal={Automatica}, author={Peitz, Sebastian and Klus, Stefan}, year={2019}, pages={184–191} }
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 16648
@article{Padberg_Hauff_Jenko_Junge_2007, title={Lagrangian structures and transport in turbulent magnetized plasmas}, DOI={10.1088/1367-2630/9/11/400}, journal={New Journal of Physics}, author={Padberg, Kathrin and Hauff, Thilo and Jenko, Frank and Junge, Oliver}, year={2007}, pages={400–400} }
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16649
@article{Padberg_Thiere_Preis_Dellnitz_2009, title={Local expansion concepts for detecting transport barriers in dynamical systems}, DOI={10.1016/j.cnsns.2009.03.018}, journal={Communications in Nonlinear Science and Numerical Simulation}, author={Padberg, Kathrin and Thiere, Bianca and Preis, Robert and Dellnitz, Michael}, year={2009}, pages={4176–4190} }
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16599
@inbook{Froyland_2013, title={Markov modelling for random dynamical systems}, DOI={10.1142/9789812792617_0200}, booktitle={Equadiff 99}, author={Froyland, Gary}, year={2013} }
LibreCat | DOI
 

1992 | Book Chapter | LibreCat-ID: 16546
@inbook{Dellnitz_Golubitsky_Melbourne_1992, place={Basel}, title={Mechanisms of Symmetry Creation}, DOI={10.1007/978-3-0348-7536-3_9}, booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Golubitsky, Martin and Melbourne, Ian}, year={1992} }
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16679
@inbook{Anacker_Dellnitz_Flaßkamp_Groesbrink_Hartmann_Heinzemann_Horenkamp_Kleinjohann_Kleinjohann_Korf_et al._2014, place={Berlin, Heidelberg}, title={Methods for the Design and Development}, DOI={10.1007/978-3-642-45435-6_5}, booktitle={Lecture Notes in Mechanical Engineering}, author={Anacker, Harald and Dellnitz, Michael and Flaßkamp, Kathrin and Groesbrink, Stefan and Hartmann, Philip and Heinzemann, Christian and Horenkamp, Christian and Kleinjohann, Bernd and Kleinjohann, Lisa and Korf, Sebastian and et al.}, year={2014} }
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 17035
@inbook{Dellnitz_Dignath_Flaßkamp_Molo_Krüger_Timmermann_Zheng_2012, place={Berlin, Heidelberg}, title={Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway}, DOI={10.1007/978-3-642-25100-9_14}, booktitle={Mathematics in Industry}, author={Dellnitz, Michael and Dignath, Florian and Flaßkamp, Kathrin and Molo, Mirko Hessel-von and Krüger, Martin and Timmermann, Robert and Zheng, Qinghua}, year={2012} }
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16576
@inbook{Dellnitz_Dignath_Flaßkamp_Molo_Krüger_Timmermann_Zheng_2012, place={Berlin, Heidelberg}, title={Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway}, DOI={10.1007/978-3-642-25100-9_14}, booktitle={Mathematics in Industry}, author={Dellnitz, Michael and Dignath, Florian and Flaßkamp, Kathrin and Molo, Mirko Hessel-von and Krüger, Martin and Timmermann, Robert and Zheng, Qinghua}, year={2012} }
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16528
@inproceedings{Dell’Aere_2006, title={Multi-Objective Optimization in Self-Optimizing Systems}, DOI={10.1109/iecon.2006.348080}, booktitle={IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics}, author={Dell’Aere, Alessandro}, year={2006} }
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16695
@inproceedings{Wang_Dellnitz_2009, title={Multi-objective shape optimization for piezoceramics}, DOI={10.1109/spawda.2008.4775823}, booktitle={2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications}, author={Wang, Fang and Dellnitz, Michael}, year={2009} }
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16681
@inbook{Dellnitz_Schütze_2012, place={New York, NY}, title={Multilevel Subdivision Techniques for Scalar Optimization Problems}, DOI={10.1007/978-1-4614-3128-2_10}, booktitle={Global Analysis of Nonlinear Dynamics}, author={Dellnitz, Michael and Schütze, Oliver}, year={2012} }
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 8759
@inproceedings{Peitz_Gräler_Henke_Molo_Dellnitz_Trächtler_2016, title={Multiobjective Model Predictive Control of an Industrial Laundry}, DOI={10.1016/j.protcy.2016.08.061}, booktitle={Procedia Technology}, author={Peitz, Sebastian and Gräler, Manuel and Henke, Christian and Molo, Mirko Hessel-von and Dellnitz, Michael and Trächtler, Ansgar}, year={2016}, pages={483–490} }
LibreCat | DOI
 

2016 | Book Chapter | LibreCat-ID: 16579
@inbook{Dellnitz_Eckstein_Flaßkamp_Friedel_Horenkamp_Köhler_Ober-Blöbaum_Peitz_Tiemeyer_2016, place={Cham}, title={Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control}, DOI={10.1007/978-3-319-23413-7_87}, booktitle={Mathematics in Industry}, author={Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}, year={2016} }
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 34
@inproceedings{Dellnitz_Eckstein_Flaßkamp_Friedel_Horenkamp_Köhler_Ober-Blöbaum_Peitz_Tiemeyer_2016, place={Cham}, series={Mathematics in Industry}, title={Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control}, volume={22}, DOI={10.1007/978-3-319-23413-7_87}, booktitle={Progress in Industrial Mathematics at ECMI}, publisher={Springer International Publishing}, author={Dellnitz, Michael and Eckstein, Julian and Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}, year={2016}, pages={633–641}, collection={Mathematics in Industry} }
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 8753
@article{Peitz_Ober-Blöbaum_Dellnitz_2019, title={Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling}, volume={161}, DOI={10.1007/s10440-018-0209-7}, number={1}, journal={Acta Applicandae Mathematicae}, author={Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2019}, pages={171–199} }
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16642
@article{Ober-Blöbaum_Padberg-Gehle_2015, title={Multiobjective optimal control of fluid mixing}, DOI={10.1002/pamm.201510309}, journal={PAMM}, author={Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}, year={2015}, pages={639–640} }
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16524
@inproceedings{Blesken_Ruckert_Steenken_Witting_Dellnitz_2009, title={Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques}, DOI={10.1109/norchp.2009.5397800}, booktitle={2009 NORCHIP}, author={Blesken, Matthias and Ruckert, Ulrich and Steenken, Dominik and Witting, Katrin and Dellnitz, Michael}, year={2009} }
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16610
@article{Geisler_Witting_Trächtler_Dellnitz_2008, title={Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle}, DOI={10.3182/20080706-5-kr-1001.00738}, journal={IFAC Proceedings Volumes}, author={Geisler, M.Sc. Jens and Witting, Dipl.-Math. Katrin and Trächtler, Ansgar and Dellnitz, Michael}, year={2008}, pages={4380–4386} }
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 1774
@article{Peitz_Dellnitz_2015, title={Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}, volume={15}, DOI={10.1002/pamm.201510296}, number={1}, journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2015}, pages={613–614} }
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760
@inproceedings{Peitz_Dellnitz_2015, title={Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction}, DOI={10.1002/pamm.201510296}, booktitle={PAMM}, author={Peitz, Sebastian and Dellnitz, Michael}, year={2015}, pages={613–614} }
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16521
@article{Bezrukov_Elsässer_Monien_Preis_Tillich_2004, title={New spectral lower bounds on the bisection width of graphs}, DOI={10.1016/j.tcs.2004.03.059}, journal={Theoretical Computer Science}, author={Bezrukov, S. and Elsässer, R. and Monien, B. and Preis, R. and Tillich, J.-P.}, year={2004}, pages={155–174} }
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16516
@inbook{Baier_Molo_2012, place={Berlin, Heidelberg}, title={Newton’s Method and Secant Method for Set-Valued Mappings}, DOI={10.1007/978-3-642-29843-1_9}, booktitle={Large-Scale Scientific Computing}, author={Baier, Robert and Molo, Mirko Hessel-von}, year={2012} }
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16633
@article{Melbourne_Dellnitz_1993, title={Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group}, DOI={10.1017/s0305004100071577}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, author={Melbourne, Ian and Dellnitz, Michael}, year={1993}, pages={235–268} }
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16560
@article{Dellnitz_Junge_Post_Thiere_2006, title={On target for Venus – set oriented computation of energy efficient low thrust trajectories}, DOI={10.1007/s10569-006-9008-y}, journal={Celestial Mechanics and Dynamical Astronomy}, author={Dellnitz, Michael and Junge, Oliver and Post, Marcus and Thiere, Bianca}, year={2006}, pages={357–370} }
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16537
@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated Dynamical Behavior}, DOI={10.1137/s0036142996313002}, journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge, Oliver}, year={1999}, pages={491–515} }
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16572
@article{Dellnitz_Froyland_Horenkamp_Padberg_2009, title={On the Approximation of Transport Phenomena - a Dynamical Systems Approach}, DOI={10.1002/gamm.200910004}, journal={GAMM-Mitteilungen}, author={Dellnitz, Michael and Froyland, Gary and Horenkamp, Christian and Padberg, Kathrin}, year={2009}, pages={47–60} }
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 16580
@article{Ziessler_Molo_Dellnitz_2016, title={On the computation of attractors for delay differential equations}, DOI={10.3934/jcd.2016005}, journal={Journal of Computational Dynamics}, author={Ziessler, Adrian and Molo, Mirko Hessel-Von and Dellnitz, Michael}, year={2016}, pages={5–5} }
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 16712
@article{Dellnitz_Gebken_Gerlach_Klus_2019, title={On the equivariance properties of self-adjoint matrices}, DOI={10.1080/14689367.2019.1661355}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken, Bennet and Gerlach, Raphael and Klus, Stefan}, year={2019}, pages={1–19} }
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 10595
@article{Gebken_Peitz_Dellnitz_2019, title={On the hierarchical structure of Pareto critical sets}, volume={73}, DOI={10.1007/s10898-019-00737-6}, number={4}, journal={Journal of Global Optimization}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2019}, pages={891–913} }
LibreCat | DOI
 

2000 | Journal Article | LibreCat-ID: 16554
@article{Dellnitz_Froyland_Sertl_2000, title={On the isolated spectrum of the Perron-Frobenius operator}, DOI={10.1088/0951-7715/13/4/310}, journal={Nonlinearity}, author={Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}, year={2000}, pages={1171–1188} }
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17045
@inproceedings{Gail_Leyendecker_Ober-Blöbaum_2014, title={On the role of quadrature rules and system dimensions in variational multirateintegrators}, booktitle={The 3rdJoint International Conference on Multibody System Dynamics}, author={Gail, Tobias and Leyendecker, Sigrid and Ober-Blöbaum, Sina}, year={2014} }
LibreCat
 

2020 | Preprint | LibreCat-ID: 20731
@article{Bieker_Gebken_Peitz_2020, title={On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation}, journal={arXiv:2012.07483}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian}, year={2020} }
LibreCat | Download (ext.)
 

2014 | Conference Paper | LibreCat-ID: 16596
@inproceedings{Flasskamp_Ober-Blobaum_Schneider_Bocker_2014, title={Optimal control of a switched reluctance drive by a direct method using a discrete variational principle}, DOI={10.1109/cdc.2013.6761075}, booktitle={52nd IEEE Conference on Decision and Control}, author={Flasskamp, Kathrin and Ober-Blobaum, Sina and Schneider, Tobias and Bocker, Joachim}, year={2014} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16593
@article{Flaßkamp_Timmermann_Ober-Blöbaum_Dellnitz_Trächtler_2012, title={Optimal Control on Stable Manifolds for a Double Pendulum}, DOI={10.1002/pamm.201210350}, journal={PAMM}, author={Flaßkamp, Kathrin and Timmermann, Julia and Ober-Blöbaum, Sina and Dellnitz, Michael and Trächtler, Ansgar}, year={2012}, pages={723–724} }
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16587
@article{Elsässer_Monien_Preis_Frommer_2004, title={Optimal Diffusion Schemes and Load Balancing on Product Graphs}, DOI={10.1142/s0129626404001714}, journal={Parallel Processing Letters}, author={Elsässer, Robert and Monien, Burkhard and Preis, Robert and Frommer, Andreas}, year={2004}, pages={61–73} }
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16661
@inproceedings{Romaus_Bocker_Witting_Seifried_Znamenshchykov_2009, title={Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors}, DOI={10.1109/ecce.2009.5316428}, booktitle={2009 IEEE Energy Conversion Congress and Exposition}, author={Romaus, C. and Bocker, J. and Witting, K. and Seifried, A. and Znamenshchykov, O.}, year={2009} }
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16618
@inproceedings{Junge_Ober-Blobaum_2006, title={Optimal Reconfiguration of Formation Flying Satellites}, DOI={10.1109/cdc.2005.1582132}, booktitle={Proceedings of the 44th IEEE Conference on Decision and Control}, author={Junge, O. and Ober-Blobaum, S.}, year={2006} }
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16621
@inproceedings{Junge_Marsden_Ober-Blobaum_2006, title={Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach}, DOI={10.1109/cdc.2006.376977}, booktitle={Proceedings of the 45th IEEE Conference on Decision and Control}, author={Junge, O. and Marsden, J.E. and Ober-Blobaum, S.}, year={2006} }
LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 16595
@article{Flaßkamp_Murphey_Ober-Blöbaum_2013, title={Optimization for discretized switched systems}, DOI={10.1002/pamm.201310196}, journal={PAMM}, author={Flaßkamp, Kathrin and Murphey, Todd and Ober-Blöbaum, Sina}, year={2013}, pages={401–402} }
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 16629
@article{Krüger_Witting_Trächtler_Dellnitz_2011, title={Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*}, DOI={10.3182/20110828-6-it-1002.02487}, journal={IFAC Proceedings Volumes}, author={Krüger, Martin and Witting, Katrin and Trächtler, Ansgar and Dellnitz, Michael}, year={2011}, pages={12611–12619} }
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 10596
@article{Schütze_Cuate_Martín_Peitz_Dellnitz_2020, title={Pareto Explorer: a global/local exploration tool for many-objective optimization problems}, volume={52}, DOI={10.1080/0305215x.2019.1617286}, number={5}, journal={Engineering Optimization}, author={Schütze, Oliver and Cuate, Oliver and Martín, Adanay and Peitz, Sebastian and Dellnitz, Michael}, year={2020}, pages={832–855} }
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 16622
@inproceedings{Keuck_Frohleke_Bocker_Ziessler_2015, title={PFC-control for improved inductor utilization}, DOI={10.1109/epe.2015.7309373}, booktitle={2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe)}, author={Keuck, L. and Frohleke, N. and Bocker, J. and Ziessler, A.}, year={2015} }
LibreCat | DOI
 

2018 | Conference Paper | LibreCat-ID: 8757
@inproceedings{Beermann_Dellnitz_Peitz_Volkwein_2018, title={POD-based multiobjective optimal control of PDEs with non-smooth objectives}, DOI={10.1002/pamm.201710015}, booktitle={PAMM}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, year={2018}, pages={51–54} }
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16660
@article{Ringkamp_Ober-Blöbaum_Leyendecker_2015, title={Relaxing mixed integer optimal control problems using a time transformation}, DOI={10.1002/pamm.201510008}, journal={PAMM}, author={Ringkamp, Maik and Ober-Blöbaum, Sina and Leyendecker, Sigrid}, year={2015}, pages={27–30} }
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16674
@article{Thiere_2006, title={Return Time Dynamics as a Tool for Finding Almost Invariant Sets}, DOI={10.1196/annals.1370.027}, journal={Annals of the New York Academy of Sciences}, author={Thiere, B.}, year={2006}, pages={44–54} }
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16711
@article{Gerlach_Koltai_Dellnitz_2019, title={Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems}, journal={arXiv:1902.08824}, author={Gerlach, Raphael and Koltai, Péter and Dellnitz, Michael}, year={2019} }
LibreCat
 

2001 | Journal Article | LibreCat-ID: 16601
@article{Froyland_Junge_Ochs_2001, title={Rigorous computation of topological entropy with respect to a finite partition}, DOI={10.1016/s0167-2789(01)00216-0}, journal={Physica D: Nonlinear Phenomena}, author={Froyland, Gary and Junge, Oliver and Ochs, Gunter}, year={2001}, pages={68–84} }
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16616
@inbook{Junge_2000, title={Rigorous discretization of subdivision techniques}, DOI={10.1142/9789812792617_0178}, booktitle={Equadiff 99}, author={Junge, Oliver}, year={2000} }
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16296
@article{Banholzer_Gebken_Dellnitz_Peitz_Volkwein_2019, title={ROM-based multiobjective optimization of elliptic PDEs via numerical  continuation}, journal={arXiv:1906.09075}, author={Banholzer, Stefan and Gebken, Bennet and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, year={2019} }
LibreCat | Download (ext.)
 

2013 | Conference Paper | LibreCat-ID: 17049
@inproceedings{Jakobsmeyer_Schnittker_Timmermann_Zorn_Rückert_Baumeister_2013, title={Running performance analysis in basketball using recorded trajectory data}, booktitle={Performance Analysis of Sport IX, Part 8, Routledge}, author={Jakobsmeyer, R. and Schnittker, R. and Timmermann, R. and Zorn, R. and Rückert, U. and Baumeister, J.}, year={2013} }
LibreCat
 

2005 | Conference Paper | LibreCat-ID: 16628
@inproceedings{Krishnamurthy_Preis_2005, title={Satellite Formation, a Mobile Sensor Network in Space}, DOI={10.1109/ipdps.2005.387}, booktitle={19th IEEE International Parallel and Distributed Processing Symposium}, author={Krishnamurthy, A. and Preis, R.}, year={2005} }
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16573
@article{Dellnitz_Froyland_Horenkamp_Padberg-Gehle_Sen Gupta_2009, title={Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators}, DOI={10.5194/npg-16-655-2009}, journal={Nonlinear Processes in Geophysics}, author={Dellnitz, M. and Froyland, G. and Horenkamp, C. and Padberg-Gehle, K. and Sen Gupta, A.}, year={2009}, pages={655–663} }
LibreCat | DOI
 

2008 | Conference Paper | LibreCat-ID: 17031
@inproceedings{Geisler_Witting_Trächtler_Dellnitz_2008, title={Self-Optimization of the Guidance Module of a Rail-bound Vehicle}, booktitle={7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future}, author={Geisler, Jens and Witting, Katrin and Trächtler, Ansgar and Dellnitz, Michael}, year={2008} }
LibreCat
 

2017 | Journal Article | LibreCat-ID: 16540
@article{Dellnitz_Klus_2017, title={Sensing and control in symmetric networks}, DOI={10.1080/14689367.2016.1215410}, journal={Dynamical Systems}, author={Dellnitz, Michael and Klus, Stefan}, year={2017}, pages={61–79} }
LibreCat | DOI
 

2007 | Conference Paper | LibreCat-ID: 16561
@inproceedings{Dellnitz_Padberg_Post_Thiere_2007, title={Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems}, DOI={10.1063/1.2710046}, booktitle={AIP Conference Proceedings}, author={Dellnitz, Michael and Padberg, Kathrin and Post, Marcus and Thiere, Bianca}, year={2007} }
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16670
@inbook{Schütze_Witting_Ober-Blöbaum_Dellnitz_2013, place={Berlin, Heidelberg}, title={Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems}, DOI={10.1007/978-3-642-32726-1_5}, booktitle={EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation}, author={Schütze, Oliver and Witting, Katrin and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2013} }
LibreCat | DOI
 

2002 | Book Chapter | LibreCat-ID: 16538
@inbook{Dellnitz_Junge_2002, title={Set Oriented Numerical Methods for Dynamical Systems}, DOI={10.1016/s1874-575x(02)80026-1}, booktitle={Handbook of Dynamical Systems}, author={Dellnitz, Michael and Junge, Oliver}, year={2002} }
LibreCat | DOI
 

2006 | Book Chapter | LibreCat-ID: 16539
@inbook{Dellnitz_Junge_2006, title={Set Oriented Numerical Methods in Space Mission Design}, DOI={10.1016/s1874-9305(07)80007-0}, booktitle={Elsevier Astrodynamics Series}, author={Dellnitz, Michael and Junge, Oliver}, year={2006} }
LibreCat | DOI
 

2018 | Book Chapter | LibreCat-ID: 8754
@inbook{Beermann_Dellnitz_Peitz_Volkwein_2018, place={Cham}, title={Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition}, DOI={10.1007/978-3-319-75319-5_3}, booktitle={Reduced-Order Modeling (ROM) for Simulation and Optimization}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan}, year={2018}, pages={47–72} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16592
@article{Flaßkamp_Ober-Blöbaum_Kobilarov_2012, title={Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures}, DOI={10.1007/s00332-012-9140-7}, journal={Journal of Nonlinear Science}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Kobilarov, Marin}, year={2012}, pages={599–629} }
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 16590
@article{Flaßkamp_Ober-Blöbaum_Kobilarov_2010, title={Solving optimal control problems by using inherent dynamical properties}, DOI={10.1002/pamm.201010281}, journal={PAMM}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Kobilarov, Marin}, year={2010}, pages={577–578} }
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 16673
@article{Tantardini_Fantino_Ren_Pergola_Gómez_Masdemont_2010, title={Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem}, DOI={10.1007/s10569-010-9299-x}, journal={Celestial Mechanics and Dynamical Astronomy}, author={Tantardini, Marco and Fantino, Elena and Ren, Yuan and Pergola, Pierpaolo and Gómez, Gerard and Masdemont, Josep J.}, year={2010}, pages={215–232} }
LibreCat | DOI
 

2007 | Report | LibreCat-ID: 17028
@book{Vasile_Schütze_Junge_Radice_Dellnitz_2007, title={Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers}, publisher={European Space Agency}, author={Vasile, Massimiliano and Schütze, Oliver and Junge, Oliver and Radice, Gimbardo and Dellnitz, Michael}, year={2007} }
LibreCat
 

1995 | Journal Article | LibreCat-ID: 16551
@article{Dellnitz_Golubitsky_Hohmann_Stewart_1995, title={Spirals in Scalar Reaction–Diffusion Equations}, DOI={10.1142/s0218127495001149}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}, year={1995}, pages={1487–1501} }
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 17034
@article{Hage-Packhäuser_Dellnitz_2011, title={Stabilization via symmetry switching in hybrid dynamical systems}, volume={16}, DOI={10.3934/dcdsb.2011.16.239}, number={1}, journal={Discrete & Continuous Dynamical Systems - B}, author={Hage-Packhäuser, Sebastian and Dellnitz, Michael}, year={2011}, pages={239–263} }
LibreCat | DOI
 

2012 | Conference Paper | LibreCat-ID: 16591
@inproceedings{Flasskamp_Murphey_Ober-Blobaum_2012, title={Switching time optimization in discretized hybrid dynamical systems}, DOI={10.1109/cdc.2012.6426414}, booktitle={2012 IEEE 51st IEEE Conference on Decision and Control (CDC)}, author={Flasskamp, Kathrin and Murphey, Todd and Ober-Blobaum, Sina}, year={2012} }
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 16639
@article{Meyer_Dellnitz_Hessel-von Molo_2011, title={Symmetries in timed continuous Petri nets}, DOI={10.1016/j.nahs.2010.05.005}, journal={Nonlinear Analysis: Hybrid Systems}, author={Meyer, A. and Dellnitz, M. and Hessel-von Molo, M.}, year={2011}, pages={125–135} }
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16636
@article{Meyer_Dellnitz_2009, title={Symmetries in Timed Continuous Petri Nets}, DOI={10.3182/20090916-3-es-3003.00013}, journal={IFAC Proceedings Volumes}, author={Meyer, A. and Dellnitz, M.}, year={2009}, pages={68–73} }
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16510
@article{Aston_Dellnitz_1995, title={Symmetry Breaking Bifurcations of Chaotic Attractors}, DOI={10.1142/s021812749500123x}, journal={International Journal of Bifurcation and Chaos}, author={Aston, Philip J. and Dellnitz, Michael}, year={1995}, pages={1643–1676} }
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17039
@article{Flasskamp_Hage-Packhäuser_Ober-Blöbaum_2015, title={Symmetry exploiting control of hybrid mechanical systems}, volume={2}, DOI={10.3934/jcd.2015.2.25}, number={1}, journal={Journal of Computational Dynamics}, author={Flasskamp, Kathrin and Hage-Packhäuser, Sebastian and Ober-Blöbaum, Sina}, year={2015}, pages={25–50} }
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17411
@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach}, DOI={10.1007/978-3-030-51264-4_9}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Peitz, Sebastian}, editor={Junge, Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle, KathrinEditors}, year={2020} }
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16549
@inbook{Dellnitz_Golubitsky_Nicol_1994, place={New York, NY}, title={Symmetry of Attractors and the Karhunen-Loève Decomposition}, DOI={10.1007/978-1-4612-0859-4_4}, booktitle={Trends and Perspectives in Applied Mathematics}, author={Dellnitz, Michael and Golubitsky, Martin and Nicol, Matthew}, year={1994} }
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16632
@article{Mehta_Hessel-von Molo_Dellnitz_2006, title={Symmetry of attractors and the Perron-Frobenius operator}, DOI={10.1080/10236190601045788}, journal={Journal of Difference Equations and Applications}, author={Mehta, Prashant G. and Hessel-von Molo, Mirko and Dellnitz, Michael}, year={2006}, pages={1147–1178} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16638
@article{Meyer_Silva_2012, title={Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics}, DOI={10.3182/20120606-3-nl-3011.00067}, journal={IFAC Proceedings Volumes}, author={Meyer, A. and Silva, M.}, year={2012}, pages={153–159} }
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8755
@article{Klus_Gelß_Peitz_Schütte_2018, title={Tensor-based dynamic mode decomposition}, volume={31}, DOI={10.1088/1361-6544/aabc8f}, number={7}, journal={Nonlinearity}, author={Klus, Stefan and Gelß, Patrick and Peitz, Sebastian and Schütte, Christof}, year={2018}, pages={3359–3380} }
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16555
@inbook{Dellnitz_Froyland_Junge_2001, place={Berlin, Heidelberg}, title={The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems}, DOI={10.1007/978-3-642-56589-2_7}, booktitle={Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems}, author={Dellnitz, Michael and Froyland, Gary and Junge, Oliver}, year={2001} }
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17994
@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems, Decision and Control}, title={The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems}, volume={304}, DOI={10.1007/978-3-030-51264-4_3}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge, Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, KathrinEditors}, year={2020}, pages={55–85}, collection={Studies in Systems, Decision and Control} }
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 17018
@inbook{Dellnitz_Junge_Rumpf_Strzodka_2000, title={The computation of an unstable invariant set inside a cylinder containing a knotted flow}, DOI={10.1142/9789812792617_0204}, booktitle={Equadiff 99}, author={Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}, year={2000}, pages={1053--1059} }
LibreCat | DOI
 

2014 | Journal Article | LibreCat-ID: 17043
@article{Baier_Dellnitz_Hessel-von Molo_Sertl_Kevrekidis_2014, title={The computation of convex invariant sets via Newton’s method}, volume={1}, DOI={10.3934/jcd.2014.1.39}, number={1}, journal={Journal of Computational Dynamics}, author={Baier, Robert and Dellnitz, Michael and Hessel-von Molo, Mirko and Sertl, Stefan and Kevrekidis, Ioannis G.}, year={2014}, pages={39–69} }
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513
@inbook{Aston_Dellnitz_2000, title={The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms}, DOI={10.1142/9789812792617_0196}, booktitle={Equadiff 99}, author={Aston, P. J. and Dellnitz, M.}, year={2000} }
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16511
@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}, DOI={10.1016/s0045-7825(98)00196-0}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston, Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }
LibreCat | DOI
 

1996 | Book Chapter | LibreCat-ID: 16533
@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of Unstable Manifolds Using Subdivision and Continuation}, DOI={10.1007/978-3-0348-7518-9_21}, booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and Hohmann, Andreas}, year={1996} }
LibreCat | DOI
 

1995 | Book Chapter | LibreCat-ID: 16611
@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits}, DOI={10.1090/fic/004/05}, booktitle={Normal Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and Stewart, Ian and Dellnitz, Michael}, year={1995} }
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 17013
@article{Dellnitz_1993, title={The equivariant Darboux theorem}, volume={29}, journal={Lectures in Applied Mathematics}, author={Dellnitz, Michael}, year={1993}, pages={163–169} }
LibreCat
 

2019 | Journal Article | LibreCat-ID: 16708
@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}, DOI={10.1137/18m1204395}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292} }
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16577
@inbook{Dellnitz_Dumitrescu_Flaßkamp_Gausemeier_Hartmann_Iwanek_Korf_Krüger_Ober-Blöbaum_Porrmann_et al._2014, place={Berlin, Heidelberg}, title={The Paradigm of Self-optimization}, DOI={10.1007/978-3-642-45435-6_1}, booktitle={Lecture Notes in Mechanical Engineering}, author={Dellnitz, Michael and Dumitrescu, Roman and Flaßkamp, Kathrin and Gausemeier, Jürgen and Hartmann, Philip and Iwanek, Peter and Korf, Sebastian and Krüger, Martin and Ober-Blöbaum, Sina and Porrmann, Mario and et al.}, year={2014} }
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16634
@article{Melbourne_Dellnitz_Golubitsky_1993, title={The structure of symmetric attractors}, DOI={10.1007/bf00386369}, journal={Archive for Rational Mechanics and Analysis}, author={Melbourne, Ian and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={75–98} }
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16603
@article{Froyland_Horenkamp_Rossi_Santitissadeekorn_Gupta_2012, title={Three-dimensional characterization and tracking of an Agulhas Ring}, DOI={10.1016/j.ocemod.2012.05.001}, journal={Ocean Modelling}, author={Froyland, Gary and Horenkamp, Christian and Rossi, Vincent and Santitissadeekorn, Naratip and Gupta, Alex Sen}, year={2012}, pages={69–75} }
LibreCat | DOI
 

2005 | Conference Paper | LibreCat-ID: 16525
@inproceedings{Day_Junge_Mischaikow_2005, title={Towards Automated Chaos Verification}, DOI={10.1142/9789812702067_0014}, booktitle={EQUADIFF 2003}, author={Day, Sarah and Junge, Oliver and Mischaikow, Konstantin}, year={2005} }
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16715
@article{Bittracher_Koltai_Klus_Banisch_Dellnitz_Schütte_2018, title={Transition Manifolds of Complex Metastable Systems}, volume={28}, DOI={10.1007/s00332-017-9415-0}, journal={Journal of Nonlinear Science}, author={Bittracher, Andreas and Koltai, Péter and Klus, Stefan and Banisch, Ralf and Dellnitz, Michael and Schütte, Christof}, year={2018}, pages={471–512} }
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16557
@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={10.1142/s0218127405012545}, journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005}, pages={699–727} }
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16558
@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={10.1103/physrevlett.94.231102}, journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D. and Thiere, Bianca}, year={2005} }
LibreCat | DOI
 

2004 | Conference Paper | LibreCat-ID: 16620
@inproceedings{Junge_Marsden_Mezic_2004, title={Uncertainty in the dynamics of conservative maps}, DOI={10.1109/cdc.2004.1430379}, booktitle={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)}, author={Junge, O. and Marsden, J.E. and Mezic, I.}, year={2004} }
LibreCat | DOI
 

2007 | Book Chapter | LibreCat-ID: 16640
@inbook{Monien_Preis_2007, place={Berlin, Heidelberg}, title={Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs}, DOI={10.1007/3-540-44683-4_46}, booktitle={Mathematical Foundations of Computer Science 2001}, author={Monien, Burkhard and Preis, Robert}, year={2007} }
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16641
@article{Monien_Preis_2006, title={Upper bounds on the Bisection Width of 3- and 4-regular Graphs}, DOI={10.1016/j.jda.2005.12.009}, journal={Journal of Discrete Algorithms}, author={Monien, Burkhard and Preis, Robert}, year={2006}, pages={475–498} }
LibreCat | DOI
 

2011 | Conference Paper | LibreCat-ID: 16588
@inproceedings{Flaßkamp_Ober-Blöbaum_2011, title={Variational formulation and optimal control of hybrid lagrangian systems}, DOI={10.1145/1967701.1967736}, booktitle={Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina}, year={2011} }
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17046
@inproceedings{Ober-Blöbaum_Lindhorst_2014, title={Variational formulation and structure-preserving discretization ofnonlinear electric circuits}, booktitle={21st International Symposium on Mathematical Theory of Networks and Systems}, author={Ober-Blöbaum, Sina and Lindhorst, Henning}, year={2014} }
LibreCat
 

2013 | Journal Article | LibreCat-ID: 17050
@article{Ober-Blöbaum_Tao_Cheng_Owhadi_Marsden_2013, title={Variational integrators for electric circuits}, volume={242}, DOI={10.1016/j.jcp.2013.02.006}, journal={Journal of Computational Physics}, author={Ober-Blöbaum, Sina and Tao, Molei and Cheng, Mulin and Owhadi, Houman and Marsden, Jerrold E.}, year={2013}, pages={498–530} }
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 17044
@inbook{Leitz_Ober-Blöbaum_Leyendecker_2014, place={Cham}, title={Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration}, DOI={10.1007/978-3-319-07260-9}, booktitle={Multibody Dynamics}, publisher={Springer}, author={Leitz, Thomas and Ober-Blöbaum, Sina and Leyendecker, Sigrid}, editor={Terze, ZdravkoEditor}, year={2014} }
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 17017
@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle, David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg, Michael}, year={1999} }
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