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192 Publications


2017 | Dissertation | LibreCat-ID: 10594
Peitz, Sebastian.   Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017. https://doi.org/10.17619/UNIPB/1-176.
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2009 | Journal Article | LibreCat-ID: 16499
Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation.” Archive for Rational Mechanics and Analysis, 2009, 303–62. https://doi.org/10.1007/s00205-009-0240-y.
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirko Hessel-von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” In Procedia Technology, 465–72, 2016. https://doi.org/10.1016/j.protcy.2016.08.059.
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0199.
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018. https://doi.org/10.1007/978-3-319-96104-0_2.
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze, Oliver, El-ghazali Talbi, Gregorio Toscano Pulido, Carlos Coello Coello, and Luis Vicente Santana-Quintero. “A Memetic PSO Algorithm for Scalar Optimization Problems.” In 2007 IEEE Swarm Intelligence Symposium, 2007. https://doi.org/10.1109/sis.2007.368036.
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2009 | Journal Article | LibreCat-ID: 16574
Dellnitz, Michael, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, and Bianca Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy, 2009, 33–59. https://doi.org/10.1007/s10569-009-9229-y.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” IFAC-PapersOnLine 50, no. 1 (2017): 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.
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2017 | Journal Article | LibreCat-ID: 16657
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “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).” IFAC-PapersOnLine, 2017, 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum, Sina, and Albert Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669594.
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2008 | Journal Article | LibreCat-ID: 16678
Witting, Katrin, Bernd Schulz, Michael Dellnitz, Joachim Böcker, and Norbert Fröhleke. “A New Approach for Online Multiobjective Optimization of Mechatronic Systems.” International Journal on Software Tools for Technology Transfer, 2008, 223–31. https://doi.org/10.1007/s10009-008-0066-1.
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, Oliver. “A New Data Structure for the Nondominance Problem in Multi-Objective Optimization.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_36.
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” Nonlinearity, 1995, 1067–75. https://doi.org/10.1088/0951-7715/8/6/010.
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2004 | Journal Article | LibreCat-ID: 16527
Day, S., O. Junge, and K. Mischaikow. “A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems.” SIAM Journal on Applied Dynamical Systems, 2004, 117–60. https://doi.org/10.1137/030600210.
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2004 | Journal Article | LibreCat-ID: 16619
Junge, Oliver, and Hinke M. Osinga. “A Set Oriented Approach to Global Optimal Control.” ESAIM: Control, Optimisation and Calculus of Variations, 2004, 259–70. https://doi.org/10.1051/cocv:2004006.
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2005 | Journal Article | LibreCat-ID: 16613
Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” Systems & Control Letters, 2005, 169–80. https://doi.org/10.1016/j.sysconle.2004.08.005.
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz, Michael, Stefan Klus, and Adrian Ziessler. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.” SIAM Journal on Applied Dynamical Systems, 2017, 120–38. https://doi.org/10.1137/16m1072735.
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach, Raphael, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, 705–23. https://doi.org/10.1137/19m1247139.
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” Numerische Mathematik 75 (1997): 293–317. https://doi.org/10.1007/s002110050240.
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2005 | Journal Article | LibreCat-ID: 16627
Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” International Journal of Bifurcation and Chaos, 2005, 763–91. https://doi.org/10.1142/s0218127405012533.
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2018 | Journal Article | LibreCat-ID: 8751
Peitz, Sebastian, and Michael Dellnitz. “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction.” Mathematical and Computational Applications 23, no. 2 (2018). https://doi.org/10.3390/mca23020030.
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2013 | Journal Article | LibreCat-ID: 16677
Witting, Katrin, Sina Ober-Blöbaum, and Michael Dellnitz. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.” Journal of Global Optimization, 2013, 331–45. https://doi.org/10.1007/s10898-012-9972-6.
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.” Nonlinearity, 1995, 1039–66. https://doi.org/10.1088/0951-7715/8/6/009.
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf, Solveig, Karin Mora, Christian Gölz, Eva-Maria Reuter, Ben Godde, Michael Dellnitz, Claus Reinsberger, and Claudia Voelcker-Rehage. “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control.” Neuroscience, 2018, 203–13. https://doi.org/10.1016/j.neuroscience.2018.07.025.
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” International Journal of Bifurcation and Chaos, 1997, 2475–85. https://doi.org/10.1142/s0218127497001655.
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1997 | Journal Article | LibreCat-ID: 16614
Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” Chaos, Solitons & Fractals, 1997, 525–34. https://doi.org/10.1016/s0960-0779(96)00118-x.
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” Computing and Visualization in Science, 1998, 63–68. https://doi.org/10.1007/s007910050006.
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2001 | Journal Article | LibreCat-ID: 16617
Junge, Oliver. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures: Proof of Convergence.” Dynamical Systems, 2001, 213–22. https://doi.org/10.1080/14689360109696233.
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2011 | Journal Article | LibreCat-ID: 16624
Klus, Stefan, Tuhin Sahai, Cong Liu, and Michael Dellnitz. “An Efficient Algorithm for the Parallel Solution of High-Dimensional Differential Equations.” Journal of Computational and Applied Mathematics, 2011, 3053–62. https://doi.org/10.1016/j.cam.2010.12.026.
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2021 | Journal Article | LibreCat-ID: 16867
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications, 2021. https://doi.org/10.1007/s10957-020-01803-w.
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann, Robert, and Michael Dellnitz. “Analysis of Team and Player Performance Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2018 | Preprint | LibreCat-ID: 16293
Klus, Stefan, Sebastian Peitz, and Ingmar Schuster. “Analyzing High-Dimensional Time-Series Data Using Kernel Transfer  Operator Eigenfunctions.” ArXiv:1805.10118, 2018.
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2007 | Book Chapter | LibreCat-ID: 16658
Preis, Robert, Burkhard Monien, and Stefan Schamberger. “Approximation Algorithms for Multilevel Graph Partitioning.” In Handbook of Approximation Algorithms and Metaheuristics, 2007. https://doi.org/10.1201/9781420010749.ch60.
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2013 | Journal Article | LibreCat-ID: 16583
Demoures, Francois, Francois Gay-Balmaz, Thomas Leitz, Sigrid Leyendecker, Sina Ober-Blöbaum, and Tudor S. Ratiu. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.” PAMM, 2013, 45–46. https://doi.org/10.1002/pamm.201310018.
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz, Michael. “Collisions of Chaotic Attractors.” Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 1994, 411–28.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg, 1999. https://doi.org/10.1007/978-3-642-58360-5_5.
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” International Journal of Computing Science and Mathematics, 2009. https://doi.org/10.1504/ijcsm.2009.027876.
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2003 | Journal Article | LibreCat-ID: 16498
Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.” Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003, 2933–55. https://doi.org/10.1098/rspa.2003.1143.
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1992 | Journal Article | LibreCat-ID: 17012
Dellnitz, Michael. “Computational Bifurcation of Periodic Solutions in Systems with Symmetry.” IMA Journal of Numerical Analysis 12, no. 3 (1992): 429–55. https://doi.org/10.1093/imanum/12.3.429.
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1989 | Journal Article | LibreCat-ID: 16682
Dellnitz, Michael, and Bodo Werner. “Computational Methods for Bifurcation Problems with Symmetries—with Special Attention to Steady State and Hopf Bifurcation Points.” Journal of Computational and Applied Mathematics, 1989, 97–123. https://doi.org/10.1016/0377-0427(89)90150-7.
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2013 | Journal Article | LibreCat-ID: 16608
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations for Variational Multirate Integration.” PAMM, 2013, 43–44. https://doi.org/10.1002/pamm.201310017.
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, Michael, and Robert Preis. “Congestion and Almost Invariant Sets in Dynamical Systems.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-45084-x_8.
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2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.” In Nonlinear Science and Complexity. Dordrecht, 2010. https://doi.org/10.1007/978-90-481-9884-9_12.
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019. https://doi.org/10.1007/s11071-019-05092-5.
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, and Ansgar Trächtler. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.” International Journal of Control, 2014, 1886–1905. https://doi.org/10.1080/00207179.2014.893450.
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2018 | Preprint | LibreCat-ID: 16292
Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear Approximations  Obtained from Data.” ArXiv:1801.06419, 2018.
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2008 | Journal Article | LibreCat-ID: 16668
Schütze, Oliver, Marco Laumanns, Carlos A. Coello Coello, Michael Dellnitz, and El-Ghazali Talbi. “Convergence of Stochastic Search Algorithms to Finite Size Pareto Set Approximations.” Journal of Global Optimization, 2008, 559–77. https://doi.org/10.1007/s10898-007-9265-7.
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, Oliver, Sanaz Mostaghim, Michael Dellnitz, and Jürgen Teich. “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_9.
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz, M., O. Sch�tze, and T. Hestermeyer. “Covering Pareto Sets by Multilevel Subdivision Techniques.” Journal of Optimization Theory and Applications, 2005, 113–36. https://doi.org/10.1007/s10957-004-6468-7.
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas Hohmann. “Cycling Chaos.” International Journal of Bifurcation and Chaos, 1995, 1243–47. https://doi.org/10.1142/s0218127495000909.
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2020 | Journal Article | LibreCat-ID: 16288
Klus, Stefan, Feliks Nüske, Sebastian Peitz, Jan-Hendrik Niemann, Cecilia Clementi, and Christof Schütte. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.” Physica D: Nonlinear Phenomena 406 (2020). https://doi.org/10.1016/j.physd.2020.132416.
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, Sebastian, Samuel E. Otto, and Clarence W. Rowley. “Data-Driven Model Predictive Control Using Interpolated Koopman  Generators.” SIAM Journal on Applied Dynamical Systems 19, no. 3 (2020): 2162–93. https://doi.org/10.1137/20M1325678.
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2020 | Journal Article | LibreCat-ID: 16290
Bieker, Katharina, Sebastian Peitz, Steven L. Brunton, J. Nathan Kutz, and Michael Dellnitz. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.” Theoretical and Computational Fluid Dynamics 34 (2020): 577–591. https://doi.org/10.1007/s00162-020-00520-4.
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2005 | Conference Paper | LibreCat-ID: 16631
Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.” In Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005. https://doi.org/10.1109/apec.2005.1452979.
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2009 | Journal Article | LibreCat-ID: 16669
Schütze, Oliver, Massimiliano Vasile, Oliver Junge, Michael Dellnitz, and Dario Izzo. “Designing Optimal Low-Thrust Gravity-Assist Trajectories Using Space Pruning and a Multi-Objective Approach.” Engineering Optimization, 2009, 155–81. https://doi.org/10.1080/03052150802391734.
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, Gary, and Michael Dellnitz. “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles.” SIAM Journal on Scientific Computing, 2003, 1839–63. https://doi.org/10.1137/s106482750238911x.
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere, Bianca, Sina Ober-Blöbaum, and Pierpaolo Pergola. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” In AIAA/AAS Astrodynamics Specialist Conference, 2010. https://doi.org/10.2514/6.2010-7962.
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1993 | Journal Article | LibreCat-ID: 16518
Barany, Ernest, Michael Dellnitz, and Martin Golubitsky. “Detecting the Symmetry of Attractors.” Physica D: Nonlinear Phenomena, 1993, 66–87. https://doi.org/10.1016/0167-2789(93)90198-a.
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2007 | Journal Article | LibreCat-ID: 16602
Froyland, Gary, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier. “Detection of Coherent Oceanic Structures via Transfer Operators.” Physical Review Letters, 2007. https://doi.org/10.1103/physrevlett.98.224503.
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2014 | Conference Paper | LibreCat-ID: 8761
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Development of an Intelligent Cruise Control Using Optimal Control Methods.” In Procedia Technology, 15:285–94, 2014. https://doi.org/10.1016/j.protcy.2014.09.082.
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, Robert, Burkhard Monien, and Robert Preis. “Diffusion Schemes for Load Balancing on Heterogeneous Networks.” Theory of Computing Systems, 2002, 305–20. https://doi.org/10.1007/s00224-002-1056-4.
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2012 | Journal Article | LibreCat-ID: 16635
Meyer, A. “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets.” IFAC Proceedings Volumes, 2012, 28–33. https://doi.org/10.3182/20121003-3-mx-4033.00008.
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker, Sigrid, Sina Ober-Blöbaum, Jerrold E. Marsden, and Michael Ortiz. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” In Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007. https://doi.org/10.1115/detc2007-34574.
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2015 | Journal Article | LibreCat-ID: 16582
Demoures, F., F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” Numerische Mathematik, 2015, 73–123. https://doi.org/10.1007/s00211-014-0659-4.
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2013 | Conference Paper | LibreCat-ID: 16672
Specht, Andreas, Sina Ober-Blobaum, Oliver Wallscheid, Christoph Romaus, and Joachim Bocker. “Discrete-Time Model of an IPMSM Based on Variational Integrators.” In 2013 International Electric Machines & Drives Conference, 2013. https://doi.org/10.1109/iemdc.2013.6556322.
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Discretized Switching Time Optimization Problems.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669577.
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper, Benjamin, Herbert Podlogar, Jürgen Gausemeier, and Katrin Witting. “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems.” In 2008 19th International Conference on Database and Expert Systems Applications, 2008. https://doi.org/10.1109/dexa.2008.111.
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” In Dynamics, Bifurcation and Symmetry. Dordrecht, 1994. https://doi.org/10.1007/978-94-011-0956-7_9.
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp, K., and S. Ober-Blobaum. “Energy Efficient Control for Mechanical Systems Based on Inherent Dynamical Structures.” In 2012 American Control Conference (ACC), 2012. https://doi.org/10.1109/acc.2012.6314820.
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2006 | Conference Paper | LibreCat-ID: 16626
Knoke, Tobias, Christoph Romaus, Joachim Bocker, Alessandro Dell’Aere, and Katrin Witting. “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.347705.
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider, T., B. Schulz, C. Henke, K. Witting, D. Steenken, and J. Bocker. “Energy Transfer via Linear Doubly-Fed Motor in Different Operating Modes.” In 2009 IEEE International Electric Machines and Drives Conference, 2009. https://doi.org/10.1109/iemdc.2009.5075267.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” International Journal of Robust and Nonlinear Control 30, no. 17 (2020): 7593–7618. https://doi.org/10.1002/rnc.5197.
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2021 | Journal Article | LibreCat-ID: 16294
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems  with Symmetries.” International Journal of Robust and Nonlinear Control 31, no. 2 (2021): 380–403. https://doi.org/10.1002/rnc.5281.
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring Invariant Sets and Invariant Measures.” Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997, 221–28. https://doi.org/10.1063/1.166223.
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, Gary. “Extracting Dynamical Behavior via Markov Models.” In Nonlinear Dynamics and Statistics. Boston, MA, 2001. https://doi.org/10.1007/978-1-4612-0177-9_12.
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.” In Lecture Notes in Control and Information Sciences, 484:257–82. Lecture Notes in Control and Information Sciences. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-35713-9_10.
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. “Finding Zeros by Multilevel Subdivision Techniques.” IMA Journal of Numerical Analysis, 2002, 167–85. https://doi.org/10.1093/imanum/22.2.167.
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.” In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019. https://doi.org/10.1109/precede.2019.8753313.
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1992 | Journal Article | LibreCat-ID: 16548
Dellnitz, M, I Melbourne, and J E Marsden. “Generic Bifurcation of Hamiltonian Vector Fields with Symmetry.” Nonlinearity, 1992, 979–96. https://doi.org/10.1088/0951-7715/5/4/008.
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1992 | Book Chapter | LibreCat-ID: 16547
Dellnitz, Michael, Jerrold E. Marsden, Ian Melbourne, and Jürgen Scheurle. “Generic Bifurcations of Pendula.” In Bifurcation and Symmetry. Basel, 1992. https://doi.org/10.1007/978-3-0348-7536-3_10.
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1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” Journal of Computational and Applied Mathematics, 1994, 249–59. https://doi.org/10.1016/0377-0427(94)90032-9.
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2007 | Journal Article | LibreCat-ID: 16612
Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.” Journal of Optimization Theory and Applications, 2007, 411–29. https://doi.org/10.1007/s10957-007-9312-z.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global Optimization of Silicon Nanoclusters.” Applied Surface Science, 2004, 108–13. https://doi.org/10.1016/j.apsusc.2003.11.007.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16671
Sertl, Stefan, and Michael Dellnitz. “Global Optimization Using a Dynamical Systems Approach.” Journal of Global Optimization, 2006, 569–87. https://doi.org/10.1007/s10898-005-4384-5.
LibreCat | DOI
 

2017 | Conference Paper | LibreCat-ID: 8752
Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.” In NEO 2016, 159–82. Cham, 2017. https://doi.org/10.1007/978-3-319-64063-1_7.
LibreCat | DOI
 

2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz, Michael, Mirko Hessel-von Molo, Philipp Metzner, Robert Preis, and Christof Schütte. “Graph Algorithms for Dynamical Systems.” In Analysis, Modeling and Simulation of Multiscale Problems, 2006. https://doi.org/10.1007/3-540-35657-6_23.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16659
Ringkamp, Maik, Sina Ober-Blöbaum, Michael Dellnitz, and Oliver Schütze. “Handling High-Dimensional Problems with Multi-Objective Continuation Methods via Successive Approximation of the Tangent Space.” Engineering Optimization, 2012, 1117–46. https://doi.org/10.1080/0305215x.2011.634407.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17041
Campos, Cédric M., Sina Ober-Blöbaum, and Emmanuel Trélat. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete & Continuous Dynamical Systems - A 35, no. 9 (2015): 4193–4223. https://doi.org/10.3934/dcds.2015.35.4193.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16667
Schütze, Oliver, Carlos A. Coello Coello, Sanaz Mostaghim, El-Ghazali Talbi, and Michael Dellnitz. “Hybridizing Evolutionary Strategies with Continuation Methods for Solving Multi-Objective Problems.” Engineering Optimization, 2008, 383–402. https://doi.org/10.1080/03052150701821328.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16713
Gölz, Christian, Claudia Voelcker-Rehage, Karin Mora, Eva-Maria Reuter, Ben Godde, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics.” Frontiers in Physiology, 2018. https://doi.org/10.3389/fphys.2018.01540.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16696
Zanzottera, A., G. Mingotti, R. Castelli, and M. Dellnitz. “Intersecting Invariant Manifolds in Spatial Restricted Three-Body Problems: Design and Optimization of Earth-to-Halo Transfers in the Sun–Earth–Moon Scenario.” Communications in Nonlinear Science and Numerical Simulation, 2012, 832–43. https://doi.org/10.1016/j.cnsns.2011.06.032.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16295
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization, 2020. https://doi.org/10.1007/s10898-020-00983-z.
LibreCat | DOI | Download (ext.)
 

2019 | Journal Article | LibreCat-ID: 10593
Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 16648
Padberg, Kathrin, Thilo Hauff, Frank Jenko, and Oliver Junge. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” New Journal of Physics, 2007, 400–400. https://doi.org/10.1088/1367-2630/9/11/400.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16649
Padberg, Kathrin, Bianca Thiere, Robert Preis, and Michael Dellnitz. “Local Expansion Concepts for Detecting Transport Barriers in Dynamical Systems.” Communications in Nonlinear Science and Numerical Simulation, 2009, 4176–90. https://doi.org/10.1016/j.cnsns.2009.03.018.
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16599
Froyland, Gary. “Markov Modelling for Random Dynamical Systems.” In Equadiff 99, 2013. https://doi.org/10.1142/9789812792617_0200.
LibreCat | DOI
 

1992 | Book Chapter | LibreCat-ID: 16546
Dellnitz, Michael, Martin Golubitsky, and Ian Melbourne. “Mechanisms of Symmetry Creation.” In Bifurcation and Symmetry. Basel, 1992. https://doi.org/10.1007/978-3-0348-7536-3_9.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16679
Anacker, Harald, Michael Dellnitz, Kathrin Flaßkamp, Stefan Groesbrink, Philip Hartmann, Christian Heinzemann, Christian Horenkamp, et al. “Methods for the Design and Development.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_5.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” In Mathematics in Industry. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-25100-9_14.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” In Mathematics in Industry. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-25100-9_14.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16528
Dell’Aere, Alessandro. “Multi-Objective Optimization in Self-Optimizing Systems.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.348080.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16695
Wang, Fang, and Michael Dellnitz. “Multi-Objective Shape Optimization for Piezoceramics.” In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009. https://doi.org/10.1109/spawda.2008.4775823.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz, Michael, and Oliver Schütze. “Multilevel Subdivision Techniques for Scalar Optimization Problems.” In Global Analysis of Nonlinear Dynamics. New York, NY, 2012. https://doi.org/10.1007/978-1-4614-3128-2_10.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 8759
Peitz, Sebastian, Manuel Gräler, Christian Henke, Mirko Hessel-von Molo, Michael Dellnitz, and Ansgar Trächtler. “Multiobjective Model Predictive Control of an Industrial Laundry.” In Procedia Technology, 483–90, 2016. https://doi.org/10.1016/j.protcy.2016.08.061.
LibreCat | DOI
 

2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Mathematics in Industry. Cham, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Progress in Industrial Mathematics at ECMI, 22:633–41. Mathematics in Industry. Cham: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae 161, no. 1 (2019): 171–199. https://doi.org/10.1007/s10440-018-0209-7.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum, Sina, and Kathrin Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.” PAMM, 2015, 639–40. https://doi.org/10.1002/pamm.201510309.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16524
Blesken, Matthias, Ulrich Ruckert, Dominik Steenken, Katrin Witting, and Michael Dellnitz. “Multiobjective Optimization for Transistor Sizing of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” In 2009 NORCHIP, 2009. https://doi.org/10.1109/norchp.2009.5397800.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16610
Geisler, M.Sc. Jens, Dipl.-Math. Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-Bound Vehicle.” IFAC Proceedings Volumes, 2008, 4380–86. https://doi.org/10.3182/20080706-5-kr-1001.00738.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 1774
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” PAMM 15, no. 1 (2015): 613–14. https://doi.org/10.1002/pamm.201510296.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” In PAMM, 613–14, 2015. https://doi.org/10.1002/pamm.201510296.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16521
Bezrukov, S., R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich. “New Spectral Lower Bounds on the Bisection Width of Graphs.” Theoretical Computer Science, 2004, 155–74. https://doi.org/10.1016/j.tcs.2004.03.059.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16516
Baier, Robert, and Mirko Hessel-von Molo. “Newton’s Method and Secant Method for Set-Valued Mappings.” In Large-Scale Scientific Computing. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-29843-1_9.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16633
Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian Vector Fields Commuting with the Action of a Compact Lie Group.” Mathematical Proceedings of the Cambridge Philosophical Society, 1993, 235–68. https://doi.org/10.1017/s0305004100071577.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16560
Dellnitz, Michael, Oliver Junge, Marcus Post, and Bianca Thiere. “On Target for Venus – Set Oriented Computation of Energy Efficient Low Thrust Trajectories.” Celestial Mechanics and Dynamical Astronomy, 2006, 357–70. https://doi.org/10.1007/s10569-006-9008-y.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” SIAM Journal on Numerical Analysis, 1999, 491–515. https://doi.org/10.1137/s0036142996313002.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16572
Dellnitz, Michael, Gary Froyland, Christian Horenkamp, and Kathrin Padberg. “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.” GAMM-Mitteilungen, 2009, 47–60. https://doi.org/10.1002/gamm.200910004.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 16580
Ziessler, Adrian, Mirko Hessel-Von Molo, and Michael Dellnitz. “On the Computation of Attractors for Delay Differential Equations.” Journal of Computational Dynamics, 2016, 5–5. https://doi.org/10.3934/jcd.2016005.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, 2019, 1–19. https://doi.org/10.1080/14689367.2019.1661355.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization 73, no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.
LibreCat | DOI
 

2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum of the Perron-Frobenius Operator.” Nonlinearity, 2000, 1171–88. https://doi.org/10.1088/0951-7715/13/4/310.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17045
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “On the Role of Quadrature Rules and System Dimensions in Variational Multirateintegrators.” In The 3rdJoint International Conference on Multibody System Dynamics, 2014.
LibreCat
 

2020 | Preprint | LibreCat-ID: 20731
Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” ArXiv:2012.07483, 2020.
LibreCat | Download (ext.)
 

2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp, Kathrin, Sina Ober-Blobaum, Tobias Schneider, and Joachim Bocker. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” In 52nd IEEE Conference on Decision and Control, 2014. https://doi.org/10.1109/cdc.2013.6761075.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16593
Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, Michael Dellnitz, and Ansgar Trächtler. “Optimal Control on Stable Manifolds for a Double Pendulum.” PAMM, 2012, 723–24. https://doi.org/10.1002/pamm.201210350.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16587
Elsässer, Robert, Burkhard Monien, Robert Preis, and Andreas Frommer. “Optimal Diffusion Schemes and Load Balancing on Product Graphs.” Parallel Processing Letters, 2004, 61–73. https://doi.org/10.1142/s0129626404001714.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16661
Romaus, C., J. Bocker, K. Witting, A. Seifried, and O. Znamenshchykov. “Optimal Energy Management for a Hybrid Energy Storage System Combining Batteries and Double Layer Capacitors.” In 2009 IEEE Energy Conversion Congress and Exposition, 2009. https://doi.org/10.1109/ecce.2009.5316428.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16618
Junge, O., and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Satellites.” In Proceedings of the 44th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2005.1582132.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16621
Junge, O., J.E. Marsden, and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach.” In Proceedings of the 45th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2006.376977.
LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp, Kathrin, Todd Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized Switched Systems.” PAMM, 2013, 401–2. https://doi.org/10.1002/pamm.201310196.
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2011 | Journal Article | LibreCat-ID: 16629
Krüger, Martin, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*.” IFAC Proceedings Volumes, 2011, 12611–19. https://doi.org/10.3182/20110828-6-it-1002.02487.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 10596
Schütze, Oliver, Oliver Cuate, Adanay Martín, Sebastian Peitz, and Michael Dellnitz. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.” Engineering Optimization 52, no. 5 (2020): 832–55. https://doi.org/10.1080/0305215x.2019.1617286.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 16622
Keuck, L., N. Frohleke, J. Bocker, and A. Ziessler. “PFC-Control for Improved Inductor Utilization.” In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe), 2015. https://doi.org/10.1109/epe.2015.7309373.
LibreCat | DOI
 

2018 | Conference Paper | LibreCat-ID: 8757
Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.” In PAMM, 51–54, 2018. https://doi.org/10.1002/pamm.201710015.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16660
Ringkamp, Maik, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.” PAMM, 2015, 27–30. https://doi.org/10.1002/pamm.201510008.
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2006 | Journal Article | LibreCat-ID: 16674
Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.” Annals of the New York Academy of Sciences, 2006, 44–54. https://doi.org/10.1196/annals.1370.027.
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16711
Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of  Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.
LibreCat
 

2001 | Journal Article | LibreCat-ID: 16601
Froyland, Gary, Oliver Junge, and Gunter Ochs. “Rigorous Computation of Topological Entropy with Respect to a Finite Partition.” Physica D: Nonlinear Phenomena, 2001, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16616
Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0178.
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16296
Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical  Continuation.” ArXiv:1906.09075, 2019.
LibreCat | Download (ext.)
 

2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer, R., R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, and J. Baumeister. “Running Performance Analysis in Basketball Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
LibreCat
 

2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” In 19th IEEE International Parallel and Distributed Processing Symposium, 2005. https://doi.org/10.1109/ipdps.2005.387.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16573
Dellnitz, M., G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta. “Seasonal Variability of the Subpolar Gyres in the Southern Ocean: A Numerical Investigation Based on Transfer Operators.” Nonlinear Processes in Geophysics, 2009, 655–63. https://doi.org/10.5194/npg-16-655-2009.
LibreCat | DOI
 

2008 | Conference Paper | LibreCat-ID: 17031
Geisler, Jens, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Self-Optimization of the Guidance Module of a Rail-Bound Vehicle.” In 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
LibreCat
 

2017 | Journal Article | LibreCat-ID: 16540
Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.” Dynamical Systems, 2017, 61–79. https://doi.org/10.1080/14689367.2016.1215410.
LibreCat | DOI
 

2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz, Michael, Kathrin Padberg, Marcus Post, and Bianca Thiere. “Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems.” In AIP Conference Proceedings, 2007. https://doi.org/10.1063/1.2710046.
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2013 | Book Chapter | LibreCat-ID: 16670
Schütze, Oliver, Katrin Witting, Sina Ober-Blöbaum, and Michael Dellnitz. “Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems.” In EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Berlin, Heidelberg, 2013. https://doi.org/10.1007/978-3-642-32726-1_5.
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods for Dynamical Systems.” In Handbook of Dynamical Systems, 2002. https://doi.org/10.1016/s1874-575x(02)80026-1.
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2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods in Space Mission Design.” In Elsevier Astrodynamics Series, 2006. https://doi.org/10.1016/s1874-9305(07)80007-0.
LibreCat | DOI
 

2018 | Book Chapter | LibreCat-ID: 8754
Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition.” In Reduced-Order Modeling (ROM) for Simulation and Optimization, 47–72. Cham, 2018. https://doi.org/10.1007/978-3-319-75319-5_3.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16592
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures.” Journal of Nonlinear Science, 2012, 599–629. https://doi.org/10.1007/s00332-012-9140-7.
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2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” PAMM, 2010, 577–78. https://doi.org/10.1002/pamm.201010281.
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2010 | Journal Article | LibreCat-ID: 16673
Tantardini, Marco, Elena Fantino, Yuan Ren, Pierpaolo Pergola, Gerard Gómez, and Josep J. Masdemont. “Spacecraft Trajectories to the L3 Point of the Sun–Earth Three-Body Problem.” Celestial Mechanics and Dynamical Astronomy, 2010, 215–32. https://doi.org/10.1007/s10569-010-9299-x.
LibreCat | DOI
 

2007 | Report | LibreCat-ID: 17028
Vasile, Massimiliano, Oliver Schütze, Oliver Junge, Gimbardo Radice, and Michael Dellnitz. Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.
LibreCat
 

1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart. “Spirals in Scalar Reaction–Diffusion Equations.” International Journal of Bifurcation and Chaos, 1995, 1487–1501. https://doi.org/10.1142/s0218127495001149.
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2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser, Sebastian, and Michael Dellnitz. “Stabilization via Symmetry Switching in Hybrid Dynamical Systems.” Discrete & Continuous Dynamical Systems - B 16, no. 1 (2011): 239–63. https://doi.org/10.3934/dcdsb.2011.16.239.
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2012 | Conference Paper | LibreCat-ID: 16591
Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Switching Time Optimization in Discretized Hybrid Dynamical Systems.” In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012. https://doi.org/10.1109/cdc.2012.6426414.
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2011 | Journal Article | LibreCat-ID: 16639
Meyer, A., M. Dellnitz, and M. Hessel-von Molo. “Symmetries in Timed Continuous Petri Nets.” Nonlinear Analysis: Hybrid Systems, 2011, 125–35. https://doi.org/10.1016/j.nahs.2010.05.005.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16636
Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.” IFAC Proceedings Volumes, 2009, 68–73. https://doi.org/10.3182/20090916-3-es-3003.00013.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16510
Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” International Journal of Bifurcation and Chaos, 1995, 1643–76. https://doi.org/10.1142/s021812749500123x.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17039
Flasskamp, Kathrin, Sebastian Hage-Packhäuser, and Sina Ober-Blöbaum. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics 2, no. 1 (2015): 25–50. https://doi.org/10.3934/jcd.2015.2.25.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-51264-4_9.
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz, Michael, Martin Golubitsky, and Matthew Nicol. “Symmetry of Attractors and the Karhunen-Loève Decomposition.” In Trends and Perspectives in Applied Mathematics. New York, NY, 1994. https://doi.org/10.1007/978-1-4612-0859-4_4.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16632
Mehta, Prashant G., Mirko Hessel-von Molo, and Michael Dellnitz. “Symmetry of Attractors and the Perron-Frobenius Operator.” Journal of Difference Equations and Applications, 2006, 1147–78. https://doi.org/10.1080/10236190601045788.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16638
Meyer, A., and M. Silva. “Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics.” IFAC Proceedings Volumes, 2012, 153–59. https://doi.org/10.3182/20120606-3-nl-3011.00067.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8755
Klus, Stefan, Patrick Gelß, Sebastian Peitz, and Christof Schütte. “Tensor-Based Dynamic Mode Decomposition.” Nonlinearity 31, no. 7 (2018): 3359–80. https://doi.org/10.1088/1361-6544/aabc8f.
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, Michael, Gary Froyland, and Oliver Junge. “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems.” In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg, 2001. https://doi.org/10.1007/978-3-642-56589-2_7.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:55–85. Studies in Systems, Decision and Control. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, Michael, Oliver Junge, Martin Rumpf, and Robert Strzodka. “The Computation of an Unstable Invariant Set inside a Cylinder Containing a Knotted Flow.” In Equadiff 99, 1053--1059, 2000. https://doi.org/10.1142/9789812792617_0204.
LibreCat | DOI
 

2014 | Journal Article | LibreCat-ID: 17043
Baier, Robert, Michael Dellnitz, Mirko Hessel-von Molo, Stefan Sertl, and Ioannis G. Kevrekidis. “The Computation of Convex Invariant Sets via Newton’s Method.” Journal of Computational Dynamics 1, no. 1 (2014): 39–69. https://doi.org/10.3934/jcd.2014.1.39.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., and M. Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0196.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16511
Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” Computer Methods in Applied Mechanics and Engineering, 1999, 223–37. https://doi.org/10.1016/s0045-7825(98)00196-0.
LibreCat | DOI
 

1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds Using Subdivision and Continuation.” In Nonlinear Dynamical Systems and Chaos. Basel, 1996. https://doi.org/10.1007/978-3-0348-7518-9_21.
LibreCat | DOI
 

1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz. “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In Normal Forms and Homoclinic Chaos. Providence, Rhode Island, 1995. https://doi.org/10.1090/fic/004/05.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 17013
Dellnitz, Michael. “The Equivariant Darboux Theorem.” Lectures in Applied Mathematics 29 (1993): 163–69.
LibreCat
 

2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, 2019, 1265–92. https://doi.org/10.1137/18m1204395.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz, Michael, Roman Dumitrescu, Kathrin Flaßkamp, Jürgen Gausemeier, Philip Hartmann, Peter Iwanek, Sebastian Korf, et al. “The Paradigm of Self-Optimization.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_1.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16634
Melbourne, Ian, Michael Dellnitz, and Martin Golubitsky. “The Structure of Symmetric Attractors.” Archive for Rational Mechanics and Analysis, 1993, 75–98. https://doi.org/10.1007/bf00386369.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16603
Froyland, Gary, Christian Horenkamp, Vincent Rossi, Naratip Santitissadeekorn, and Alex Sen Gupta. “Three-Dimensional Characterization and Tracking of an Agulhas Ring.” Ocean Modelling, 2012, 69–75. https://doi.org/10.1016/j.ocemod.2012.05.001.
LibreCat | DOI
 

2005 | Conference Paper | LibreCat-ID: 16525
Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated Chaos Verification.” In EQUADIFF 2003, 2005. https://doi.org/10.1142/9789812702067_0014.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16715
Bittracher, Andreas, Péter Koltai, Stefan Klus, Ralf Banisch, Michael Dellnitz, and Christof Schütte. “Transition Manifolds of Complex Metastable Systems.” Journal of Nonlinear Science 28 (2018): 471–512. https://doi.org/10.1007/s00332-017-9415-0.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16557
Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” International Journal of Bifurcation and Chaos, 2005, 699–727. https://doi.org/10.1142/s0218127405012545.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16558
Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region.” Physical Review Letters, 2005. https://doi.org/10.1103/physrevlett.94.231102.
LibreCat | DOI
 

2004 | Conference Paper | LibreCat-ID: 16620
Junge, O., J.E. Marsden, and I. Mezic. “Uncertainty in the Dynamics of Conservative Maps.” In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004. https://doi.org/10.1109/cdc.2004.1430379.
LibreCat | DOI
 

2007 | Book Chapter | LibreCat-ID: 16640
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” In Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg, 2007. https://doi.org/10.1007/3-540-44683-4_46.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16641
Monien, Burkhard, and Robert Preis. “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs.” Journal of Discrete Algorithms, 2006, 475–98. https://doi.org/10.1016/j.jda.2005.12.009.
LibreCat | DOI
 

2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp, Kathrin, and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” In Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011. https://doi.org/10.1145/1967701.1967736.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum, Sina, and Henning Lindhorst. “Variational Formulation and Structure-Preserving Discretization Ofnonlinear Electric Circuits.” In 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
LibreCat
 

2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum, Sina, Molei Tao, Mulin Cheng, Houman Owhadi, and Jerrold E. Marsden. “Variational Integrators for Electric Circuits.” Journal of Computational Physics 242 (2013): 498–530. https://doi.org/10.1016/j.jcp.2013.02.006.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 17044
Leitz, Thomas, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration.” In Multibody Dynamics, edited by Zdravko Terze. Cham: Springer, 2014. https://doi.org/10.1007/978-3-319-07260-9.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 17017
Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael Spielberg. “Visualizing Complicated Dynamics.” Proceedings of Visualization 99, 1999.
LibreCat
 

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