S. Peitz,   Exploiting structure in multiobjective optimization and optimal control. 2017.
LibreCat: /record/10594
DOI: 10.17619/UNIPB/1-176

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.
LibreCat: /record/16499
DOI: 10.1007/s00205-009-0240-y

J. Eckstein et al., “A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles,”10.1016/j.protcy.2016.08.059__in Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, vol. 26, pp. 465–472, doi:10.1016/j.protcy.2016.08.059 .
LibreCat: /record/8758
DOI: 10.1016/j.protcy.2016.08.059

M. Dellnitz, G. Froyland, and S. Sertl, “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator,” in Equadiff 99, 2000.
LibreCat: /record/16553
DOI: 10.1142/9789812792617_0199

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.
LibreCat: /record/8750
DOI: 10.1007/978-3-319-96104-0_2

K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376. 2024.
LibreCat: /record/51334
arXiv: 	2402.06376

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.
LibreCat: /record/16666
DOI: 10.1109/sis.2007.368036

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.
LibreCat: /record/16574
DOI: 10.1007/s10569-009-9229-y

S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz, “A multiobjective MPC approach for autonomously driven electric vehicles,”10.1016/j.ifacol.2017.08.1526__Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi:10.1016/j.ifacol.2017.08.1526 .
LibreCat: /record/8756
DOI: 10.1016/j.ifacol.2017.08.1526

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.
LibreCat: /record/16657
DOI: 10.1016/j.ifacol.2017.08.1526

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.
LibreCat: /record/16643
DOI: 10.23919/ecc.2013.6669594

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.
LibreCat: /record/16678
DOI: 10.1007/s10009-008-0066-1

O. Schütze, “A New Data Structure for the Nondominance Problem in Multi-objective Optimization,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
LibreCat: /record/16664
DOI: 10.1007/3-540-36970-8_36

B. Gebken, “A note on the convergence of deterministic gradient sampling in nonsmooth optimization,”10.1007/s10589-024-00552-0__Computational Optimization and Applications, 2024, doi:10.1007/s10589-024-00552-0 .
LibreCat: /record/51208
DOI: 10.1007/s10589-024-00552-0

M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric periodic points,” Nonlinearity, pp. 1067–1075, 1995.
LibreCat: /record/16542
DOI: 10.1088/0951-7715/8/6/010

S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled  oscillator networks,” arXiv:2306.03320. .
LibreCat: /record/45498
arXiv: 2306.03320

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.
LibreCat: /record/16527
DOI: 10.1137/030600210

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.
LibreCat: /record/16619
DOI: 10.1051/cocv:2004006

L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,” Systems &; Control Letters, pp. 169–180, 2005.
LibreCat: /record/16613
DOI: 10.1016/j.sysconle.2004.08.005

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.
LibreCat: /record/16581
DOI: 10.1137/16m1072735

R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,”10.1137/19m1247139__SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020, doi:10.1137/19m1247139 .
LibreCat: /record/16710
DOI: 10.1137/19m1247139

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.
LibreCat: /record/17015
DOI: 10.1007/s002110050240

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.
LibreCat: /record/16627
DOI: 10.1142/s0218127405012533

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.
LibreCat: /record/8751
DOI: 10.3390/mca23020030

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.
LibreCat: /record/16677
DOI: 10.1007/s10898-012-9972-6

F. Noé and F. Nüske, “A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems,” Multiscale Modeling &; Simulation, pp. 635–655, 2013.
LibreCat: /record/21935
DOI: 10.1137/110858616

M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,” Nonlinearity, pp. 1039–1066, 1995.
LibreCat: /record/16532
DOI: 10.1088/0951-7715/8/6/009

S. Vieluf et al., “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control,” Neuroscience, pp. 203–213, 2018.
LibreCat: /record/16714
DOI: 10.1016/j.neuroscience.2018.07.025

M. Dellnitz and O. Junge, “Almost Invariant Sets in Chua’s Circuit,” International Journal of Bifurcation and Chaos, pp. 2475–2485, 1997.
LibreCat: /record/16535
DOI: 10.1142/s0218127497001655

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.
LibreCat: /record/16614
DOI: 10.1016/s0960-0779(96)00118-x

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.
LibreCat: /record/16536
DOI: 10.1007/s007910050006

O. Junge, “An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence,” Dynamical Systems, pp. 213–222, 2001.
LibreCat: /record/16617
DOI: 10.1080/14689360109696233

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.
LibreCat: /record/16624
DOI: 10.1016/j.cam.2010.12.026

B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021.
LibreCat: /record/16867
DOI: 10.1007/s10957-020-01803-w

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.
LibreCat: /record/17048

S. Klus, S. Peitz, and I. Schuster, “Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions,” arXiv:1805.10118. 2018.
LibreCat: /record/16293

R. Preis, B. Monien, and S. Schamberger, “Approximation Algorithms for Multilevel Graph Partitioning,” in Handbook of Approximation Algorithms and Metaheuristics, 2007.
LibreCat: /record/16658
DOI: 10.1201/9781420010749.ch60

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.
LibreCat: /record/16583
DOI: 10.1002/pamm.201310018

F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems by spectral matching,” The Journal of Chemical Physics, 2019.
LibreCat: /record/21944
DOI: 10.1063/1.5100131

M. Dellnitz, “Collisions of chaotic attractors,” Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg, pp. 411–428, 1994.
LibreCat: /record/17014

B. Gebken, Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. 2022.
LibreCat: /record/31556
DOI: 10.17619/UNIPB/1-1327

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.
LibreCat: /record/16584
DOI: 10.1007/978-3-642-58360-5_5

M. Dellnitz and K. Witting, “Computation of robust Pareto points,” International Journal of Computing Science and Mathematics, 2009.
LibreCat: /record/16545
DOI: 10.1504/ijcsm.2009.027876

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.
LibreCat: /record/16498
DOI: 10.1098/rspa.2003.1143

M. Dellnitz, “Computational bifurcation of periodic solutions in systems with symmetry,” IMA Journal of Numerical Analysis, vol. 12, no. 3, pp. 429–455, 1992.
LibreCat: /record/17012
DOI: 10.1093/imanum/12.3.429

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.
LibreCat: /record/16682
DOI: 10.1016/0377-0427(89)90150-7

T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations for variational multirate integration,” PAMM, pp. 43–44, 2013.
LibreCat: /record/16608
DOI: 10.1002/pamm.201310017

M. Dellnitz and R. Preis, “Congestion and Almost Invariant Sets in Dynamical Systems,” in Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
LibreCat: /record/16543
DOI: 10.1007/3-540-45084-x_8

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.
LibreCat: /record/16575
DOI: 10.1007/978-90-481-9884-9_12

T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for the traveling salesman problem,” Nonlinear Dynamics, 2019.
LibreCat: /record/16709
DOI: 10.1007/s11071-019-05092-5

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.
LibreCat: /record/16597
DOI: 10.1080/00207179.2014.893450

S. Peitz, “Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data,” arXiv:1801.06419. 2018.
LibreCat: /record/16292

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.
LibreCat: /record/16668
DOI: 10.1007/s10898-007-9265-7

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.
LibreCat: /record/16665
DOI: 10.1007/3-540-36970-8_9

M. Dellnitz, O. Schÿfdtze, and T. Hestermeyer, “Covering Pareto Sets by Multilevel Subdivision Techniques,” Journal of Optimization Theory and Applications, pp. 113–136, 2005.
LibreCat: /record/16684
DOI: 10.1007/s10957-004-6468-7

M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,” International Journal of Bifurcation and Chaos, pp. 1243–1247, 1995.
LibreCat: /record/16550
DOI: 10.1142/s0218127495000909

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.
LibreCat: /record/16288
DOI: 10.1016/j.physd.2020.132416

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.
LibreCat: /record/16309
DOI: 10.1137/20M1325678

S. Klus et al., “Data-Driven Model Reduction and Transfer Operator Approximation,” Journal of Nonlinear Science, pp. 985–1010, 2018.
LibreCat: /record/21941
DOI: 10.1007/s00332-017-9437-7

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.
LibreCat: /record/16290
DOI: 10.1007/s00162-020-00520-4

M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models,” Mathematical and Computational Applications, vol. 26, no. 2, 2021.
LibreCat: /record/21337
DOI: 10.3390/mca26020031

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.
LibreCat: /record/16631
DOI: 10.1109/apec.2005.1452979

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.
LibreCat: /record/16669
DOI: 10.1080/03052150802391734

G. Froyland and M. Dellnitz, “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles,” SIAM Journal on Scientific Computing, pp. 1839–1863, 2003.
LibreCat: /record/16600
DOI: 10.1137/s106482750238911x

B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting Initial Guesses for Trajectories in the (P)CRTBP,” in AIAA/AAS Astrodynamics Specialist Conference, 2010.
LibreCat: /record/16675
DOI: 10.2514/6.2010-7962

E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,” Physica D: Nonlinear Phenomena, pp. 66–87, 1993.
LibreCat: /record/16518
DOI: 10.1016/0167-2789(93)90198-a

G. Froyland, K. Padberg, M. H. England, and A. M. Treguier, “Detection of Coherent Oceanic Structures via Transfer Operators,” Physical Review Letters, 2007.
LibreCat: /record/16602
DOI: 10.1103/physrevlett.98.224503

R. Elsässer, B. Monien, and R. Preis, “Diffusion Schemes for Load Balancing on Heterogeneous Networks,” Theory of Computing Systems, pp. 305–320, 2002.
LibreCat: /record/16586
DOI: 10.1007/s00224-002-1056-4

A. Meyer, “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets,” IFAC Proceedings Volumes, pp. 28–33, 2012.
LibreCat: /record/16635
DOI: 10.3182/20121003-3-mx-4033.00008

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.
LibreCat: /record/16630
DOI: 10.1115/detc2007-34574

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.
LibreCat: /record/16582
DOI: 10.1007/s00211-014-0659-4

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.
LibreCat: /record/16672
DOI: 10.1109/iemdc.2013.6556322

K. Flasskamp, T. Murphey, and S. Ober-Blobaum, “Discretized switching time optimization problems,” in 2013 European Control Conference (ECC), 2013.
LibreCat: /record/16594
DOI: 10.23919/ecc.2013.6669577

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.
LibreCat: /record/16623
DOI: 10.1109/dexa.2008.111

M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement  learning,”10.1137/21M1412682__SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. 9–5, 2023, doi:10.1137/21M1412682 .
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics, vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham: Springer International Publishing, 2022.
LibreCat: /record/30294
DOI: 10.1007/978-3-030-81455-7_23

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.
LibreCat: /record/16544
DOI: 10.1007/978-94-011-0956-7_9

C. Goelz et al., “Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults,” Cognitive Neurodynamics, 2021.
LibreCat: /record/21195
DOI: 10.1007/s11571-020-09656-9

K. Flaskamp and S. Ober-Blobaum, “Energy efficient control for mechanical systems based on inherent dynamical structures,” in 2012 American Control Conference (ACC), 2012.
LibreCat: /record/16589
DOI: 10.1109/acc.2012.6314820

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.
LibreCat: /record/16626
DOI: 10.1109/iecon.2006.347705

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.
LibreCat: /record/16663
DOI: 10.1109/iemdc.2009.5075267

C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,”10.1002/rnc.5197__International Journal of Robust and Nonlinear Control, vol. 30(17), pp. 7593–7618, 2020, doi:10.1002/rnc.5197 .
LibreCat: /record/16297
DOI: 10.1002/rnc.5197

S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems  with symmetries,”10.1002/rnc.5281__International Journal of Robust and Nonlinear Control, vol. 31(2), pp. 380–403, 2021, doi:10.1002/rnc.5281 .
LibreCat: /record/16294
DOI: 10.1002/rnc.5281

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.
LibreCat: /record/16552
DOI: 10.1063/1.166223

G. Froyland, “Extracting Dynamical Behavior via Markov Models,” in Nonlinear Dynamics and Statistics, Boston, MA, 2001.
LibreCat: /record/16598
DOI: 10.1007/978-1-4612-0177-9_12

K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping,” arXiv:2307.00975. 2023.
LibreCat: /record/32447
arXiv: 2307.00975

K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems,”10.1007/s10957-024-02389-3__Journal of Optimization Theory and Applications, 2024, doi:10.1007/s10957-024-02389-3 .
LibreCat: /record/46019
DOI: 10.1007/s10957-024-02389-3

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.
LibreCat: /record/16289
DOI: 10.1007/978-3-030-35713-9_10

M. Dellnitz, “Finding zeros by multilevel subdivision techniques,” IMA Journal of Numerical Analysis, pp. 167–185, 2002.
LibreCat: /record/16556
DOI: 10.1093/imanum/22.2.167

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.
LibreCat: /record/10597
DOI: 10.1109/precede.2019.8753313

F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data error bounds for Koopman-based prediction and control,”10.1007/s00332-022-09862-1__Journal of Nonlinear Science, vol. 33, Art. no. 14, 2023, doi:10.1007/s00332-022-09862-1 .
LibreCat: /record/23428
DOI: 10.1007/s00332-022-09862-1

M. Dellnitz, I. Melbourne, and J. E. Marsden, “Generic bifurcation of Hamiltonian vector fields with symmetry,” Nonlinearity, pp. 979–996, 1992.
LibreCat: /record/16548
DOI: 10.1088/0951-7715/5/4/008

M. Dellnitz, J. E. Marsden, I. Melbourne, and J. Scheurle, “Generic Bifurcations of Pendula,” in Bifurcation and Symmetry, Basel, 1992.
LibreCat: /record/16547
DOI: 10.1007/978-3-0348-7536-3_10

M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant self-adjoint matrices,” Journal of Computational and Applied Mathematics, pp. 249–259, 1994.
LibreCat: /record/16541
DOI: 10.1016/0377-0427(94)90032-9

L. Grüne and O. Junge, “Global Optimal Control of Perturbed Systems,” Journal of Optimization Theory and Applications, pp. 411–429, 2007.
LibreCat: /record/16612
DOI: 10.1007/s10957-007-9312-z

I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, and T. Frauenheim, “Global optimization of silicon nanoclusters,” Applied Surface Science, pp. 108–113, 2004.
LibreCat: /record/16500
DOI: 10.1016/j.apsusc.2003.11.007

S. Sertl and M. Dellnitz, “Global Optimization using a Dynamical Systems Approach,” Journal of Global Optimization, pp. 569–587, 2006.
LibreCat: /record/16671
DOI: 10.1007/s10898-005-4384-5

S. Peitz and M. Dellnitz, “Gradient-Based Multiobjective Optimization with Uncertainties,” in NEO 2016, 2017, pp. 159–182.
LibreCat: /record/8752
DOI: 10.1007/978-3-319-64063-1_7

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.
LibreCat: /record/16559
DOI: 10.1007/3-540-35657-6_23

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.
LibreCat: /record/16659
DOI: 10.1080/0305215x.2011.634407

C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,”10.1093/comnet/cnae009__Journal of Complex Networks, vol. 12, no. 2, 2024, doi:10.1093/comnet/cnae009 .
LibreCat: /record/52726
DOI: 10.1093/comnet/cnae009
arXiv: 2309.02006

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.
LibreCat: /record/17041
DOI: 10.3934/dcds.2015.35.4193

S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead to ‘reluctant’ synchrony breaking,” arXiv:2311.17186. 2023.
LibreCat: /record/49371
arXiv: 2311.17186

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.
LibreCat: /record/16667
DOI: 10.1080/03052150701821328

S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,”10.1137/23m1561075__SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi:10.1137/23m1561075 .
LibreCat: /record/49326
DOI: 10.1137/23m1561075
arXiv: 2302.08974

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.
LibreCat: /record/16713
DOI: 10.3389/fphys.2018.01540

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.
LibreCat: /record/16696
DOI: 10.1016/j.cnsns.2011.06.032

B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
LibreCat: /record/16295
DOI: 10.1007/s10898-020-00983-z

S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” Entropy, 2020.
LibreCat: /record/21819
DOI: 10.3390/e22070722

S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,”10.1088/1751-8121/ac7d22__Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022, doi:10.1088/1751-8121/ac7d22 .
LibreCat: /record/29673
DOI: 10.1088/1751-8121/ac7d22
arXiv: 2201.12062

S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, and M. Dellnitz, “Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives,” arXiv:1804.00854. 2018.
LibreCat: /record/21634

S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
LibreCat: /record/10593
DOI: 10.1016/j.automatica.2019.05.016

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.
LibreCat: /record/16648
DOI: 10.1088/1367-2630/9/11/400

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.
LibreCat: /record/16649
DOI: 10.1016/j.cnsns.2009.03.018

G. Froyland, “Markov modelling for random dynamical systems,” in Equadiff 99, 2013.
LibreCat: /record/16599
DOI: 10.1142/9789812792617_0200

F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, and F. Noé, “Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias,” The Journal of Chemical Physics, 2017.
LibreCat: /record/21938
DOI: 10.1063/1.4976518

M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,” in Bifurcation and Symmetry, Basel, 1992.
LibreCat: /record/16546
DOI: 10.1007/978-3-0348-7536-3_9

H. Anacker et al., “Methods for the Design and Development,” in Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
LibreCat: /record/16679
DOI: 10.1007/978-3-642-45435-6_5

M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat: /record/16576
DOI: 10.1007/978-3-642-25100-9_14

M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat: /record/17035
DOI: 10.1007/978-3-642-25100-9_14

A. Dell’Aere, “Multi-Objective Optimization in Self-Optimizing Systems,” in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
LibreCat: /record/16528
DOI: 10.1109/iecon.2006.348080

F. Wang and M. Dellnitz, “Multi-objective shape optimization for piezoceramics,” in 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
LibreCat: /record/16695
DOI: 10.1109/spawda.2008.4775823

M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022.
LibreCat: /record/33150
arXiv: 2208.12094

M. Dellnitz and O. Schütze, “Multilevel Subdivision Techniques for Scalar Optimization Problems,” in Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
LibreCat: /record/16681
DOI: 10.1007/978-1-4614-3128-2_10

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.
LibreCat: /record/8759
DOI: 10.1016/j.protcy.2016.08.061

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: /record/34
DOI: 10.1007/978-3-319-23413-7_87

M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in Mathematics in Industry, Cham, 2016.
LibreCat: /record/16579
DOI: 10.1007/978-3-319-23413-7_87

S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,”10.1007/s10440-018-0209-7__Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi:10.1007/s10440-018-0209-7 .
LibreCat: /record/8753
DOI: 10.1007/s10440-018-0209-7

S. Ober-Blöbaum and K. Padberg-Gehle, “Multiobjective optimal control of fluid mixing,” PAMM, pp. 639–640, 2015.
LibreCat: /record/16642
DOI: 10.1002/pamm.201510309

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: /record/16524
DOI: 10.1109/norchp.2009.5397800

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: /record/16610
DOI: 10.3182/20080706-5-kr-1001.00738

M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.
LibreCat: /record/46578
arXiv: 2308.01113

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: /record/1774
DOI: 10.1002/pamm.201510296

S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” in PAMM, 2015, pp. 613–614.
LibreCat: /record/8760
DOI: 10.1002/pamm.201510296

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: /record/16521
DOI: 10.1016/j.tcs.2004.03.059

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: /record/16516
DOI: 10.1007/978-3-642-29843-1_9

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: /record/16633
DOI: 10.1017/s0305004100071577

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: /record/16560
DOI: 10.1007/s10569-006-9008-y

M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” SIAM Journal on Numerical Analysis, pp. 491–515, 1999.
LibreCat: /record/16537
DOI: 10.1137/s0036142996313002

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: /record/16572
DOI: 10.1002/gamm.200910004

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: /record/16580
DOI: 10.3934/jcd.2016005

R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies,” arXiv:2305.06632. .
LibreCat: /record/44840
arXiv: 2305.06632

M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,”10.1080/14689367.2019.1661355__Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi:10.1080/14689367.2019.1661355 .
LibreCat: /record/16712
DOI: 10.1080/14689367.2019.1661355

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: /record/10595
DOI: 10.1007/s10898-019-00737-6

M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius operator,” Nonlinearity, pp. 1171–1188, 2000.
LibreCat: /record/16554
DOI: 10.1088/0951-7715/13/4/310

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: /record/17045

B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,”10.1007/s10898-022-01223-2__Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi:10.1007/s10898-022-01223-2 .
LibreCat: /record/27426
DOI: 10.1007/s10898-022-01223-2

K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,”10.1109/TPAMI.2021.3114962__IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808, 2022, doi:10.1109/TPAMI.2021.3114962 .
LibreCat: /record/20731
DOI: 10.1109/TPAMI.2021.3114962

S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,”10.1016/j.automatica.2022.110840__Automatica, vol. 149, Art. no. 110840, 2023, doi:10.1016/j.automatica.2022.110840 .
LibreCat: /record/21199
DOI: 10.1016/j.automatica.2022.110840

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: /record/16596
DOI: 10.1109/cdc.2013.6761075

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: /record/16593
DOI: 10.1002/pamm.201210350

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: /record/16587
DOI: 10.1142/s0129626404001714

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: /record/16661
DOI: 10.1109/ecce.2009.5316428

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: /record/16618
DOI: 10.1109/cdc.2005.1582132

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: /record/16621
DOI: 10.1109/cdc.2006.376977

K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” PAMM, pp. 401–402, 2013.
LibreCat: /record/16595
DOI: 10.1002/pamm.201310196

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: /record/16629
DOI: 10.3182/20110828-6-it-1002.02487

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: /record/10596
DOI: 10.1080/0305215x.2019.1617286

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: /record/16622
DOI: 10.1109/epe.2015.7309373

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: /record/8757
DOI: 10.1002/pamm.201710015

E. Hruska, J. R. Abella, F. Nüske, L. E. Kavraki, and C. Clementi, “Quantitative comparison of adaptive sampling methods for protein dynamics,” The Journal of Chemical Physics, 2018.
LibreCat: /record/21943
DOI: 10.1063/1.5053582

F. Litzinger et al., “Rapid Calculation of Molecular Kinetics Using Compressed Sensing,” Journal of Chemical Theory and Computation, pp. 2771–2783, 2018.
LibreCat: /record/21940
DOI: 10.1021/acs.jctc.8b00089

M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Relaxing mixed integer optimal control problems using a time transformation,” PAMM, pp. 27–30, 2015.
LibreCat: /record/16660
DOI: 10.1002/pamm.201510008

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: /record/16674
DOI: 10.1196/annals.1370.027

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: /record/16711

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: /record/16601
DOI: 10.1016/s0167-2789(01)00216-0

O. Junge, “Rigorous discretization of subdivision techniques,” in Equadiff 99, 2000.
LibreCat: /record/16616
DOI: 10.1142/9789812792617_0178

S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland, K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.
LibreCat: /record/16296
DOI: 10.1007/978-3-030-79393-7_3

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: /record/17049

A. Krishnamurthy and R. Preis, “Satellite Formation, a Mobile Sensor Network in Space,” in 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
LibreCat: /record/16628
DOI: 10.1109/ipdps.2005.387

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: /record/16573
DOI: 10.5194/npg-16-655-2009

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: /record/17031

M. Dellnitz and S. Klus, “Sensing and control in symmetric networks,” Dynamical Systems, pp. 61–79, 2017.
LibreCat: /record/16540
DOI: 10.1080/14689367.2016.1215410

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: /record/16561
DOI: 10.1063/1.2710046

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: /record/16670
DOI: 10.1007/978-3-642-32726-1_5

M. Dellnitz and O. Junge, “Set Oriented Numerical Methods for Dynamical Systems,” in Handbook of Dynamical Systems, 2002.
LibreCat: /record/16538
DOI: 10.1016/s1874-575x(02)80026-1

M. Dellnitz and O. Junge, “Set Oriented Numerical Methods in Space Mission Design,” in Elsevier Astrodynamics Series, 2006.
LibreCat: /record/16539
DOI: 10.1016/s1874-9305(07)80007-0

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: /record/8754
DOI: 10.1007/978-3-319-75319-5_3

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: /record/16592
DOI: 10.1007/s00332-012-9140-7

K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems by using inherent dynamical properties,” PAMM, pp. 577–578, 2010.
LibreCat: /record/16590
DOI: 10.1002/pamm.201010281

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: /record/16673
DOI: 10.1007/s10569-010-9299-x

L. Boninsegna, F. Nüske, and C. Clementi, “Sparse learning of stochastic dynamical equations,” The Journal of Chemical Physics, 2018.
LibreCat: /record/21942
DOI: 10.1063/1.5018409

F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties of Effective Dynamics from Conditional Expectations,” Entropy, 2021.
LibreCat: /record/21820
DOI: 10.3390/e23020134

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: /record/17028

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: /record/16551
DOI: 10.1142/s0218127495001149

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: /record/17034
DOI: 10.3934/dcdsb.2011.16.239

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: /record/16591
DOI: 10.1109/cdc.2012.6426414

S. Klus, P. Gelß, F. Nüske, and F. Noé, “Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry,”10.1088/2632-2153/ac14ad__Machine Learning: Science and Technology, Art. no. 045016, 2021, doi:10.1088/2632-2153/ac14ad .
LibreCat: /record/24170
DOI: 10.1088/2632-2153/ac14ad

A. Meyer and M. Dellnitz, “Symmetries in Timed Continuous Petri Nets,” IFAC Proceedings Volumes, pp. 68–73, 2009.
LibreCat: /record/16636
DOI: 10.3182/20090916-3-es-3003.00013

A. Meyer, M. Dellnitz, and M. Hessel-von Molo, “Symmetries in timed continuous Petri nets,” Nonlinear Analysis: Hybrid Systems, pp. 125–135, 2011.
LibreCat: /record/16639
DOI: 10.1016/j.nahs.2010.05.005

P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,” International Journal of Bifurcation and Chaos, pp. 1643–1676, 1995.
LibreCat: /record/16510
DOI: 10.1142/s021812749500123x

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: /record/17039
DOI: 10.3934/jcd.2015.2.25

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: /record/17411
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