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192 Publications


2017 | Dissertation | LibreCat-ID: 10594
S. Peitz,   Exploiting structure in multiobjective optimization and optimal control. 2017.
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2009 | Journal Article | LibreCat-ID: 16499
L. Biasco and L. Di Gregorio, “A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation,” Archive for Rational Mechanics and Analysis, pp. 303–362, 2009.
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2016 | Conference Paper | LibreCat-ID: 8758
J. Eckstein et al., “A Comparison of two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles,” in Procedia Technology, 2016, pp. 465–472.
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2000 | Book Chapter | LibreCat-ID: 16553
M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator,” in Equadiff 99, 2000.
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2018 | Conference Paper | LibreCat-ID: 8750
B. Gebken, S. Peitz, and M. Dellnitz, “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems,” in Numerical and Evolutionary Optimization – NEO 2017, 2018.
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2007 | Conference Paper | LibreCat-ID: 16666
O. Schütze, E. Talbi, G. T. Pulido, C. C. Coello, and L. V. Santana-Quintero, “A Memetic PSO Algorithm for Scalar Optimization Problems,” in 2007 IEEE Swarm Intelligence Symposium, 2007.
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2009 | Journal Article | LibreCat-ID: 16574
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective approach to the design of low thrust space trajectories using optimal control,” Celestial Mechanics and Dynamical Astronomy, pp. 33–59, 2009.
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2017 | Journal Article | LibreCat-ID: 8756
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles,” IFAC-PapersOnLine, vol. 50, no. 1, pp. 8674–8679, 2017.
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2017 | Journal Article | LibreCat-ID: 16657
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. 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, pp. 8674–8679, 2017.
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2013 | Conference Paper | LibreCat-ID: 16643
S. Ober-Blöbaum and A. Seifried, “A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties,” in 2013 European Control Conference (ECC), 2013.
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2008 | Journal Article | LibreCat-ID: 16678
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, and N. Fröhleke, “A new approach for online multiobjective optimization of mechatronic systems,” International Journal on Software Tools for Technology Transfer, pp. 223–231, 2008.
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2003 | Book Chapter | LibreCat-ID: 16664
O. Schütze, “A New Data Structure for the Nondominance Problem in Multi-objective Optimization,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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1995 | Journal Article | LibreCat-ID: 16542
M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric periodic points,” Nonlinearity, pp. 1067–1075, 1995.
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2004 | Journal Article | LibreCat-ID: 16527
S. Day, 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, pp. 117–160, 2004.
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2004 | Journal Article | LibreCat-ID: 16619
O. Junge and H. M. Osinga, “A set oriented approach to global optimal control,” ESAIM: Control, Optimisation and Calculus of Variations, pp. 259–270, 2004.
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2005 | Journal Article | LibreCat-ID: 16613
L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,” Systems & Control Letters, pp. 169–180, 2005.
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2017 | Journal Article | LibreCat-ID: 16581
M. Dellnitz, S. Klus, and A. Ziessler, “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty,” SIAM Journal on Applied Dynamical Systems, pp. 120–138, 2017.
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2020 | Journal Article | LibreCat-ID: 16710
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020.
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1997 | Journal Article | LibreCat-ID: 17015
M. Dellnitz and A. Hohmann, “A subdivision algorithm for the computation of unstable manifolds and global attractors,” Numerische Mathematik, vol. 75, pp. 293–317, 1997.
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2005 | Journal Article | LibreCat-ID: 16627
B. Krauskopf et al., “A Survey of Methods for Computing (un)stable Manifolds of Vector Fields,” International Journal of Bifurcation and Chaos, pp. 763–791, 2005.
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2018 | Journal Article | LibreCat-ID: 8751
S. Peitz and M. Dellnitz, “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction,” Mathematical and Computational Applications, vol. 23, no. 2, 2018.
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2013 | Journal Article | LibreCat-ID: 16677
K. Witting, S. Ober-Blöbaum, and M. Dellnitz, “A variational approach to define robustness for parametric multiobjective optimization problems,” Journal of Global Optimization, pp. 331–345, 2013.
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1995 | Journal Article | LibreCat-ID: 16532
M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,” Nonlinearity, pp. 1039–1066, 1995.
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2018 | Journal Article | LibreCat-ID: 16714
S. Vieluf et al., “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control,” Neuroscience, pp. 203–213, 2018.
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1997 | Journal Article | LibreCat-ID: 16535
M. Dellnitz and O. Junge, “Almost Invariant Sets in Chua’s Circuit,” International Journal of Bifurcation and Chaos, pp. 2475–2485, 1997.
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1997 | Journal Article | LibreCat-ID: 16614
R. Guder, M. Dellnitz, and E. Kreuzer, “An adaptive method for the approximation of the generalized cell mapping,” Chaos, Solitons & Fractals, pp. 525–534, 1997.
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1998 | Journal Article | LibreCat-ID: 16536
M. Dellnitz and O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures,” Computing and Visualization in Science, pp. 63–68, 1998.
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2001 | Journal Article | LibreCat-ID: 16617
O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence,” Dynamical Systems, pp. 213–222, 2001.
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2011 | Journal Article | LibreCat-ID: 16624
S. Klus, T. Sahai, C. Liu, and M. Dellnitz, “An efficient algorithm for the parallel solution of high-dimensional differential equations,” Journal of Computational and Applied Mathematics, pp. 3053–3062, 2011.
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2021 | Journal Article | LibreCat-ID: 16867
B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, 2021.
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2013 | Conference Paper | LibreCat-ID: 17048
R. Timmermann and M. 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
S. Klus, S. Peitz, and I. 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
R. Preis, B. Monien, and S. Schamberger, “Approximation Algorithms for Multilevel Graph Partitioning,” in Handbook of Approximation Algorithms and Metaheuristics, 2007.
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2013 | Journal Article | LibreCat-ID: 16583
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, and T. S. Ratiu, “Asynchronous variational Lie group integration for geometrically exact beam dynamics,” PAMM, pp. 45–46, 2013.
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1994 | Journal Article | LibreCat-ID: 17014
M. Dellnitz, “Collisions of chaotic attractors,” Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg, pp. 411–428, 1994.
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1999 | Book Chapter | LibreCat-ID: 16584
P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential Molecular Dynamics by Subdivision Techniques,” in Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.
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2009 | Journal Article | LibreCat-ID: 16545
M. Dellnitz and K. Witting, “Computation of robust Pareto points,” International Journal of Computing Science and Mathematics, 2009.
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2003 | Journal Article | LibreCat-ID: 16498
P. J. Aston 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, pp. 2933–2955, 2003.
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1992 | Journal Article | LibreCat-ID: 17012
M. Dellnitz, “Computational bifurcation of periodic solutions in systems with symmetry,” IMA Journal of Numerical Analysis, vol. 12, no. 3, pp. 429–455, 1992.
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1989 | Journal Article | LibreCat-ID: 16682
M. Dellnitz and B. Werner, “Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points,” Journal of Computational and Applied Mathematics, pp. 97–123, 1989.
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2013 | Journal Article | LibreCat-ID: 16608
T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations for variational multirate integration,” PAMM, pp. 43–44, 2013.
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2003 | Book Chapter | LibreCat-ID: 16543
M. Dellnitz and R. Preis, “Congestion and Almost Invariant Sets in Dynamical Systems,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2010 | Book Chapter | LibreCat-ID: 16575
M. Dellnitz, K. Padberg, R. Preis, and B. Thiere, “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem,” in Nonlinear Science and Complexity, Dordrecht, 2010.
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2019 | Journal Article | LibreCat-ID: 16709
T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for the traveling salesman problem,” Nonlinear Dynamics, 2019.
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2014 | Journal Article | LibreCat-ID: 16597
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, and A. Trächtler, “Control strategies on stable manifolds for energy-efficient swing-ups of double pendula,” International Journal of Control, pp. 1886–1905, 2014.
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2018 | Preprint | LibreCat-ID: 16292
S. Peitz, “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
O. Schütze, M. Laumanns, C. A. Coello Coello, M. Dellnitz, and E.-G. Talbi, “Convergence of stochastic search algorithms to finite size pareto set approximations,” Journal of Global Optimization, pp. 559–577, 2008.
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2003 | Book Chapter | LibreCat-ID: 16665
O. Schütze, S. Mostaghim, M. Dellnitz, and J. Teich, “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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2005 | Journal Article | LibreCat-ID: 16684
M. Dellnitz, O. Sch�tze, and T. Hestermeyer, “Covering Pareto Sets by Multilevel Subdivision Techniques,” Journal of Optimization Theory and Applications, pp. 113–136, 2005.
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1995 | Journal Article | LibreCat-ID: 16550
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,” International Journal of Bifurcation and Chaos, pp. 1243–1247, 1995.
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2020 | Journal Article | LibreCat-ID: 16288
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, and C. Schütte, “Data-driven approximation of the Koopman generator: Model reduction, system identification, and control,” Physica D: Nonlinear Phenomena, vol. 406, 2020.
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2020 | Journal Article | LibreCat-ID: 16309
S. Peitz, S. E. Otto, and C. W. Rowley, “Data-Driven Model Predictive Control using Interpolated Koopman  Generators,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, pp. 2162–2193, 2020.
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2020 | Journal Article | LibreCat-ID: 16290
K. Bieker, S. Peitz, S. L. Brunton, J. N. Kutz, and M. Dellnitz, “Deep model predictive flow control with limited sensor data and online learning,” Theoretical and Computational Fluid Dynamics, vol. 34, pp. 577–591, 2020.
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2005 | Conference Paper | LibreCat-ID: 16631
R. Li et al., “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.
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2009 | Journal Article | LibreCat-ID: 16669
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, and D. Izzo, “Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach,” Engineering Optimization, pp. 155–181, 2009.
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2003 | Journal Article | LibreCat-ID: 16600
G. Froyland and M. Dellnitz, “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles,” SIAM Journal on Scientific Computing, pp. 1839–1863, 2003.
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2010 | Conference Paper | LibreCat-ID: 16675
B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting Initial Guesses for Trajectories in the (P)CRTBP,” in AIAA/AAS Astrodynamics Specialist Conference, 2010.
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1993 | Journal Article | LibreCat-ID: 16518
E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,” Physica D: Nonlinear Phenomena, pp. 66–87, 1993.
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2007 | Journal Article | LibreCat-ID: 16602
G. Froyland, K. Padberg, M. H. England, and A. M. Treguier, “Detection of Coherent Oceanic Structures via Transfer Operators,” Physical Review Letters, 2007.
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2014 | Conference Paper | LibreCat-ID: 8761
M. Dellnitz et al., “Development of an Intelligent Cruise Control Using Optimal Control Methods,” in Procedia Technology, 2014, vol. 15, pp. 285–294.
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2002 | Journal Article | LibreCat-ID: 16586
R. Elsässer, B. Monien, and R. Preis, “Diffusion Schemes for Load Balancing on Heterogeneous Networks,” Theory of Computing Systems, pp. 305–320, 2002.
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2012 | Journal Article | LibreCat-ID: 16635
A. Meyer, “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets,” IFAC Proceedings Volumes, pp. 28–33, 2012.
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2007 | Conference Paper | LibreCat-ID: 16630
S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. 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.
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2015 | Journal Article | LibreCat-ID: 16582
F. Demoures, 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, pp. 73–123, 2015.
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2013 | Conference Paper | LibreCat-ID: 16672
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, and J. Bocker, “Discrete-time model of an IPMSM based on variational integrators,” in 2013 International Electric Machines & Drives Conference, 2013.
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2013 | Conference Paper | LibreCat-ID: 16594
K. Flasskamp, T. Murphey, and S. Ober-Blobaum, “Discretized switching time optimization problems,” in 2013 European Control Conference (ECC), 2013.
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2008 | Conference Paper | LibreCat-ID: 16623
B. Klöpper, H. Podlogar, J. Gausemeier, and K. 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.
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1994 | Book Chapter | LibreCat-ID: 16544
M. Dellnitz and J. Scheurle, “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom,” in Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
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2012 | Conference Paper | LibreCat-ID: 16589
K. Flaskamp and S. Ober-Blobaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in 2012 American Control Conference (ACC), 2012.
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2006 | Conference Paper | LibreCat-ID: 16626
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, and K. Witting, “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization,” in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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2009 | Conference Paper | LibreCat-ID: 16663
T. Schneider, 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.
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2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30, no. 17, pp. 7593–7618, 2020.
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2021 | Journal Article | LibreCat-ID: 16294
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems  with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31, no. 2, pp. 380–403, 2021.
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1997 | Journal Article | LibreCat-ID: 16552
M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf, “Exploring invariant sets and invariant measures,” Chaos: An Interdisciplinary Journal of Nonlinear Science, pp. 221–228, 1997.
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2001 | Book Chapter | LibreCat-ID: 16598
G. Froyland, “Extracting Dynamical Behavior via Markov Models,” in Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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2020 | Book Chapter | LibreCat-ID: 16289
S. Peitz and S. 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, vol. 484, Cham: Springer, 2020, pp. 257–282.
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2002 | Journal Article | LibreCat-ID: 16556
M. Dellnitz, “Finding zeros by multilevel subdivision techniques,” IMA Journal of Numerical Analysis, pp. 167–185, 2002.
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2019 | Conference Paper | LibreCat-ID: 10597
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, and M. 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.
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1992 | Journal Article | LibreCat-ID: 16548
M. Dellnitz, I. Melbourne, and J. E. Marsden, “Generic bifurcation of Hamiltonian vector fields with symmetry,” Nonlinearity, pp. 979–996, 1992.
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1992 | Book Chapter | LibreCat-ID: 16547
M. Dellnitz, J. E. Marsden, I. Melbourne, and J. Scheurle, “Generic Bifurcations of Pendula,” in Bifurcation and Symmetry, Basel, 1992.
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1994 | Journal Article | LibreCat-ID: 16541
M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant self-adjoint matrices,” Journal of Computational and Applied Mathematics, pp. 249–259, 1994.
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2007 | Journal Article | LibreCat-ID: 16612
L. Grüne and O. Junge, “Global Optimal Control of Perturbed Systems,” Journal of Optimization Theory and Applications, pp. 411–429, 2007.
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2004 | Journal Article | LibreCat-ID: 16500
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, and T. Frauenheim, “Global optimization of silicon nanoclusters,” Applied Surface Science, pp. 108–113, 2004.
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2006 | Journal Article | LibreCat-ID: 16671
S. Sertl and M. Dellnitz, “Global Optimization using a Dynamical Systems Approach,” Journal of Global Optimization, pp. 569–587, 2006.
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2017 | Conference Paper | LibreCat-ID: 8752
S. Peitz and M. Dellnitz, “Gradient-Based Multiobjective Optimization with Uncertainties,” in NEO 2016, 2017, pp. 159–182.
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2006 | Book Chapter | LibreCat-ID: 16559
M. Dellnitz, M. H. Molo, P. Metzner, R. Preis, and C. Schütte, “Graph Algorithms for Dynamical Systems,” in Analysis, Modeling and Simulation of Multiscale Problems, 2006.
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2012 | Journal Article | LibreCat-ID: 16659
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, and O. Schütze, “Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space,” Engineering Optimization, pp. 1117–1146, 2012.
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2015 | Journal Article | LibreCat-ID: 17041
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete & Continuous Dynamical Systems - A, vol. 35, no. 9, pp. 4193–4223, 2015.
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2008 | Journal Article | LibreCat-ID: 16667
O. Schütze, C. A. Coello Coello, S. Mostaghim, E.-G. Talbi, and M. Dellnitz, “Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems,” Engineering Optimization, pp. 383–402, 2008.
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2018 | Journal Article | LibreCat-ID: 16713
C. Gölz et al., “Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics,” Frontiers in Physiology, 2018.
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2012 | Journal Article | LibreCat-ID: 16696
A. Zanzottera, 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, pp. 832–843, 2012.
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2020 | Journal Article | LibreCat-ID: 16295
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, 2020.
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2019 | Journal Article | LibreCat-ID: 10593
S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
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2007 | Journal Article | LibreCat-ID: 16648
K. Padberg, T. Hauff, F. Jenko, and O. Junge, “Lagrangian structures and transport in turbulent magnetized plasmas,” New Journal of Physics, pp. 400–400, 2007.
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2009 | Journal Article | LibreCat-ID: 16649
K. Padberg, B. Thiere, R. Preis, and M. Dellnitz, “Local expansion concepts for detecting transport barriers in dynamical systems,” Communications in Nonlinear Science and Numerical Simulation, pp. 4176–4190, 2009.
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2013 | Book Chapter | LibreCat-ID: 16599
G. Froyland, “Markov modelling for random dynamical systems,” in Equadiff 99, 2013.
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1992 | Book Chapter | LibreCat-ID: 16546
M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,” in Bifurcation and Symmetry, Basel, 1992.
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2014 | Book Chapter | LibreCat-ID: 16679
H. Anacker et al., “Methods for the Design and Development,” in Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
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2012 | Book Chapter | LibreCat-ID: 17035
M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
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2012 | Book Chapter | LibreCat-ID: 16576
M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
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2006 | Conference Paper | LibreCat-ID: 16528
A. Dell’Aere, “Multi-Objective Optimization in Self-Optimizing Systems,” in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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2009 | Conference Paper | LibreCat-ID: 16695
F. Wang and M. Dellnitz, “Multi-objective shape optimization for piezoceramics,” in 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
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2012 | Book Chapter | LibreCat-ID: 16681
M. Dellnitz and O. Schütze, “Multilevel Subdivision Techniques for Scalar Optimization Problems,” in Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
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2016 | Conference Paper | LibreCat-ID: 8759
S. Peitz, M. Gräler, C. Henke, M. H. Molo, M. Dellnitz, and A. Trächtler, “Multiobjective Model Predictive Control of an Industrial Laundry,” in Procedia Technology, 2016, pp. 483–490.
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2016 | Book Chapter | LibreCat-ID: 16579
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in Mathematics in Industry, Cham, 2016.
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2016 | Conference Paper | LibreCat-ID: 34
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in Progress in Industrial Mathematics at ECMI, 2016, vol. 22, pp. 633–641.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2019.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16642
S. Ober-Blöbaum and K. Padberg-Gehle, “Multiobjective optimal control of fluid mixing,” PAMM, pp. 639–640, 2015.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16524
M. Blesken, U. Ruckert, D. Steenken, K. Witting, and M. Dellnitz, “Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques,” in 2009 NORCHIP, 2009.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16610
M. S. J. Geisler, D.-M. K. Witting, A. Trächtler, and M. Dellnitz, “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle,” IFAC Proceedings Volumes, pp. 4380–4386, 2008.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 1774
S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” PAMM, vol. 15, no. 1, pp. 613–614, 2015.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760
S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” in PAMM, 2015, pp. 613–614.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16521
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich, “New spectral lower bounds on the bisection width of graphs,” Theoretical Computer Science, pp. 155–174, 2004.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16516
R. Baier and M. H. Molo, “Newton’s Method and Secant Method for Set-Valued Mappings,” in Large-Scale Scientific Computing, Berlin, Heidelberg, 2012.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16633
I. Melbourne and M. Dellnitz, “Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group,” Mathematical Proceedings of the Cambridge Philosophical Society, pp. 235–268, 1993.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16560
M. Dellnitz, O. Junge, M. Post, and B. Thiere, “On target for Venus – set oriented computation of energy efficient low thrust trajectories,” Celestial Mechanics and Dynamical Astronomy, pp. 357–370, 2006.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16537
M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” SIAM Journal on Numerical Analysis, pp. 491–515, 1999.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16572
M. Dellnitz, G. Froyland, C. Horenkamp, and K. Padberg, “On the Approximation of Transport Phenomena - a Dynamical Systems Approach,” GAMM-Mitteilungen, pp. 47–60, 2009.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 16580
A. Ziessler, M. H.-V. Molo, and M. Dellnitz, “On the computation of attractors for delay differential equations,” Journal of Computational Dynamics, pp. 5–5, 2016.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, pp. 1–19, 2019.
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 10595
B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913, 2019.
LibreCat | DOI
 

2000 | Journal Article | LibreCat-ID: 16554
M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius operator,” Nonlinearity, pp. 1171–1188, 2000.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17045
T. Gail, S. Leyendecker, and S. 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
K. Bieker, B. Gebken, and S. 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
K. Flasskamp, S. Ober-Blobaum, T. Schneider, and J. 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.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16593
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, M. Dellnitz, and A. Trächtler, “Optimal Control on Stable Manifolds for a Double Pendulum,” PAMM, pp. 723–724, 2012.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16587
R. Elsässer, B. Monien, R. Preis, and A. Frommer, “Optimal Diffusion Schemes and Load Balancing on Product Graphs,” Parallel Processing Letters, pp. 61–73, 2004.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16661
C. Romaus, 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.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16618
O. Junge and S. Ober-Blobaum, “Optimal Reconfiguration of Formation Flying Satellites,” in Proceedings of the 44th IEEE Conference on Decision and Control, 2006.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16621
O. Junge, 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.
LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 16595
K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” PAMM, pp. 401–402, 2013.
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 16629
M. Krüger, K. Witting, A. Trächtler, and M. Dellnitz, “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*,” IFAC Proceedings Volumes, pp. 12611–12619, 2011.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 10596
O. Schütze, O. Cuate, A. Martín, S. Peitz, and M. Dellnitz, “Pareto Explorer: a global/local exploration tool for many-objective optimization problems,” Engineering Optimization, vol. 52, no. 5, pp. 832–855, 2020.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 16622
L. Keuck, 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.
LibreCat | DOI
 

2018 | Conference Paper | LibreCat-ID: 8757
D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “POD-based multiobjective optimal control of PDEs with non-smooth objectives,” in PAMM, 2018, pp. 51–54.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16660
M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Relaxing mixed integer optimal control problems using a time transformation,” PAMM, pp. 27–30, 2015.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16674
B. Thiere, “Return Time Dynamics as a Tool for Finding Almost Invariant Sets,” Annals of the New York Academy of Sciences, pp. 44–54, 2006.
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16711
R. Gerlach, P. Koltai, and M. 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
G. Froyland, O. Junge, and G. Ochs, “Rigorous computation of topological entropy with respect to a finite partition,” Physica D: Nonlinear Phenomena, pp. 68–84, 2001.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16616
O. Junge, “Rigorous discretization of subdivision techniques,” in Equadiff 99, 2000.
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16296
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-based multiobjective optimization of elliptic PDEs via numerical  continuation,” arXiv:1906.09075. 2019.
LibreCat | Download (ext.)
 

2013 | Conference Paper | LibreCat-ID: 17049
R. Jakobsmeyer, 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
A. Krishnamurthy and R. Preis, “Satellite Formation, a Mobile Sensor Network in Space,” in 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16573
M. Dellnitz, 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, pp. 655–663, 2009.
LibreCat | DOI
 

2008 | Conference Paper | LibreCat-ID: 17031
J. Geisler, K. Witting, A. Trächtler, and M. 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
M. Dellnitz and S. Klus, “Sensing and control in symmetric networks,” Dynamical Systems, pp. 61–79, 2017.
LibreCat | DOI
 

2007 | Conference Paper | LibreCat-ID: 16561
M. Dellnitz, K. Padberg, M. Post, and B. Thiere, “Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems,” in AIP Conference Proceedings, 2007.
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16670
O. Schütze, K. Witting, S. Ober-Blöbaum, and M. 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.
LibreCat | DOI
 

2002 | Book Chapter | LibreCat-ID: 16538
M. Dellnitz and O. Junge, “Set Oriented Numerical Methods for Dynamical Systems,” in Handbook of Dynamical Systems, 2002.
LibreCat | DOI
 

2006 | Book Chapter | LibreCat-ID: 16539
M. Dellnitz and O. Junge, “Set Oriented Numerical Methods in Space Mission Design,” in Elsevier Astrodynamics Series, 2006.
LibreCat | DOI
 

2018 | Book Chapter | LibreCat-ID: 8754
D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition,” in Reduced-Order Modeling (ROM) for Simulation and Optimization, Cham, 2018, pp. 47–72.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16592
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures,” Journal of Nonlinear Science, pp. 599–629, 2012.
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 16590
K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” PAMM, pp. 577–578, 2010.
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 16673
M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, and J. J. Masdemont, “Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem,” Celestial Mechanics and Dynamical Astronomy, pp. 215–232, 2010.
LibreCat | DOI
 

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

1995 | Journal Article | LibreCat-ID: 16551
M. Dellnitz, M. Golubitsky, A. Hohmann, and I. Stewart, “Spirals in Scalar Reaction–Diffusion Equations,” International Journal of Bifurcation and Chaos, pp. 1487–1501, 1995.
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 17034
S. Hage-Packhäuser and M. Dellnitz, “Stabilization via symmetry switching in hybrid dynamical systems,” Discrete & Continuous Dynamical Systems - B, vol. 16, no. 1, pp. 239–263, 2011.
LibreCat | DOI
 

2012 | Conference Paper | LibreCat-ID: 16591
K. Flasskamp, T. Murphey, and S. Ober-Blobaum, “Switching time optimization in discretized hybrid dynamical systems,” in 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012.
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 16639
A. Meyer, M. Dellnitz, and M. Hessel-von Molo, “Symmetries in timed continuous Petri nets,” Nonlinear Analysis: Hybrid Systems, pp. 125–135, 2011.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16636
A. Meyer and M. Dellnitz, “Symmetries in Timed Continuous Petri Nets,” IFAC Proceedings Volumes, pp. 68–73, 2009.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16510
P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,” International Journal of Bifurcation and Chaos, pp. 1643–1676, 1995.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17039
K. Flasskamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting control of hybrid mechanical systems,” Journal of Computational Dynamics, vol. 2, no. 1, pp. 25–50, 2015.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17411
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020.
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16549
M. Dellnitz, M. Golubitsky, and M. Nicol, “Symmetry of Attractors and the Karhunen-Loève Decomposition,” in Trends and Perspectives in Applied Mathematics, New York, NY, 1994.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16632
P. G. Mehta, M. Hessel-von Molo, and M. Dellnitz, “Symmetry of attractors and the Perron-Frobenius operator,” Journal of Difference Equations and Applications, pp. 1147–1178, 2006.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16638
A. Meyer and M. Silva, “Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics,” IFAC Proceedings Volumes, pp. 153–159, 2012.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8755
S. Klus, P. Gelß, S. Peitz, and C. Schütte, “Tensor-based dynamic mode decomposition,” Nonlinearity, vol. 31, no. 7, pp. 3359–3380, 2018.
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16555
M. Dellnitz, G. Froyland, and O. 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.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17994
R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020, pp. 55–85.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 17018
M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka, “The computation of an unstable invariant set inside a cylinder containing a knotted flow,” in Equadiff 99, 2000, pp. 1053--1059.
LibreCat | DOI
 

2014 | Journal Article | LibreCat-ID: 17043
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, and I. G. Kevrekidis, “The computation of convex invariant sets via Newton’s method,” Journal of Computational Dynamics, vol. 1, no. 1, pp. 39–69, 2014.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513
P. J. Aston and M. Dellnitz, “The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms,” in Equadiff 99, 2000.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16511
P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial integration with application to blowout bifurcations,” Computer Methods in Applied Mechanics and Engineering, pp. 223–237, 1999.
LibreCat | DOI
 

1996 | Book Chapter | LibreCat-ID: 16533
M. Dellnitz and A. Hohmann, “The Computation of Unstable Manifolds Using Subdivision and Continuation,” in Nonlinear Dynamical Systems and Chaos, Basel, 1996.
LibreCat | DOI
 

1995 | Book Chapter | LibreCat-ID: 16611
M. Golubitsky, J. Marsden, I. Stewart, and M. Dellnitz, “The constrained Liapunov-Schmidt procedure and periodic orbits,” in Normal Forms and Homoclinic Chaos, Providence, Rhode Island, 1995.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 17013
M. Dellnitz, “The equivariant Darboux theorem,” Lectures in Applied Mathematics, vol. 29, pp. 163–169, 1993.
LibreCat
 

2019 | Journal Article | LibreCat-ID: 16708
A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, pp. 1265–1292, 2019.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16577
M. Dellnitz et al., “The Paradigm of Self-optimization,” in Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16634
I. Melbourne, M. Dellnitz, and M. Golubitsky, “The structure of symmetric attractors,” Archive for Rational Mechanics and Analysis, pp. 75–98, 1993.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16603
G. Froyland, C. Horenkamp, V. Rossi, N. Santitissadeekorn, and A. S. Gupta, “Three-dimensional characterization and tracking of an Agulhas Ring,” Ocean Modelling, pp. 69–75, 2012.
LibreCat | DOI
 

2005 | Conference Paper | LibreCat-ID: 16525
S. Day, O. Junge, and K. Mischaikow, “Towards Automated Chaos Verification,” in EQUADIFF 2003, 2005.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16715
A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, and C. Schütte, “Transition Manifolds of Complex Metastable Systems,” Journal of Nonlinear Science, vol. 28, pp. 471–512, 2018.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16557
M. Dellnitz et al., “Transport in Dynamical Astronomy and Multibody Problems,” International Journal of Bifurcation and Chaos, pp. 699–727, 2005.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16558
M. Dellnitz et al., “Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region,” Physical Review Letters, 2005.
LibreCat | DOI
 

2004 | Conference Paper | LibreCat-ID: 16620
O. Junge, 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.
LibreCat | DOI
 

2007 | Book Chapter | LibreCat-ID: 16640
B. Monien and R. Preis, “Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs,” in Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16641
B. Monien and R. Preis, “Upper bounds on the Bisection Width of 3- and 4-regular Graphs,” Journal of Discrete Algorithms, pp. 475–498, 2006.
LibreCat | DOI
 

2011 | Conference Paper | LibreCat-ID: 16588
K. Flaßkamp and S. 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.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17046
S. Ober-Blöbaum and H. 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
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, and J. E. Marsden, “Variational integrators for electric circuits,” Journal of Computational Physics, vol. 242, pp. 498–530, 2013.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 17044
T. Leitz, S. Ober-Blöbaum, and S. Leyendecker, “Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration,” in Multibody Dynamics, Z. Terze, Ed. Cham: Springer, 2014.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 17017
D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, “Visualizing Complicated Dynamics,” Proceedings of Visualization 99, 1999.
LibreCat
 

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