Peitz, Sebastian.   Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017.https://doi.org/10.17619/UNIPB/1-176 .

Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation.”https://doi.org/10.1007/s00205-009-0240-y__Archive for Rational Mechanics and Analysis, 2009, 303–62.https://doi.org/10.1007/s00205-009-0240-y .

Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirkohttps://doi.org/10.1016/j.protcy.2016.08.059__Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.”https://doi.org/10.1016/j.protcy.2016.08.059__In Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 26:465–72, 2016.https://doi.org/10.1016/j.protcy.2016.08.059 .

Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.”https://doi.org/10.1142/9789812792617_0199__In Equadiff 99, 2000.https://doi.org/10.1142/9789812792617_0199 .

Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.”https://doi.org/10.1007/978-3-319-96104-0_2__In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018.https://doi.org/10.1007/978-3-319-96104-0_2 .

Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.

Schütze, Oliver, El-ghazali Talbi, Gregorio Toscano Pulido, Carlos Coello Coello, and Luis Vicente Santana-Quintero. “A Memetic PSO Algorithm for Scalar Optimization Problems.”https://doi.org/10.1109/sis.2007.368036__In 2007 IEEE Swarm Intelligence Symposium, 2007.https://doi.org/10.1109/sis.2007.368036 .

Dellnitz, Michael, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, and Bianca Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.”https://doi.org/10.1007/s10569-009-9229-y__Celestial Mechanics and Dynamical Astronomy, 2009, 33–59.https://doi.org/10.1007/s10569-009-9229-y .

Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.”https://doi.org/10.1016/j.ifacol.2017.08.1526__Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50, no. 1 (2017): 8674–79.https://doi.org/10.1016/j.ifacol.2017.08.1526 .

Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This Research Was Funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (It’s OWL).”https://doi.org/10.1016/j.ifacol.2017.08.1526__IFAC-PapersOnLine, 2017, 8674–79.https://doi.org/10.1016/j.ifacol.2017.08.1526 .

Ober-Blöbaum, Sina, and Albert Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.”https://doi.org/10.23919/ecc.2013.6669594__In 2013 European Control Conference (ECC), 2013.https://doi.org/10.23919/ecc.2013.6669594 .

Witting, Katrin, Bernd Schulz, Michael Dellnitz, Joachim Böcker, and Norbert Fröhleke. “A New Approach for Online Multiobjective Optimization of Mechatronic Systems.”https://doi.org/10.1007/s10009-008-0066-1__International Journal on Software Tools for Technology Transfer, 2008, 223–31.https://doi.org/10.1007/s10009-008-0066-1 .

Schütze, Oliver. “A New Data Structure for the Nondominance Problem in Multi-Objective Optimization.”https://doi.org/10.1007/3-540-36970-8_36__In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003.https://doi.org/10.1007/3-540-36970-8_36 .

Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.”https://doi.org/10.1007/s10589-024-00552-0__Computational Optimization and Applications, 2024.https://doi.org/10.1007/s10589-024-00552-0 .

Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.”https://doi.org/10.1088/0951-7715/8/6/010__Nonlinearity, 1995, 1067–75.https://doi.org/10.1088/0951-7715/8/6/010 .

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320, n.d.

Day, S., O. Junge, and K. Mischaikow. “A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems.”https://doi.org/10.1137/030600210__SIAM Journal on Applied Dynamical Systems, 2004, 117–60.https://doi.org/10.1137/030600210 .

Junge, Oliver, and Hinke M. Osinga. “A Set Oriented Approach to Global Optimal Control.”https://doi.org/10.1051/cocv:2004006__ESAIM: Control, Optimisation and Calculus of Variations, 2004, 259–70.https://doi.org/10.1051/cocv:2004006 .

Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.”https://doi.org/10.1016/j.sysconle.2004.08.005__Systems &; Control Letters, 2005, 169–80.https://doi.org/10.1016/j.sysconle.2004.08.005 .

Dellnitz, Michael, Stefan Klus, and Adrian Ziessler. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.”https://doi.org/10.1137/16m1072735__SIAM Journal on Applied Dynamical Systems, 2017, 120–38.https://doi.org/10.1137/16m1072735 .

Gerlach, Raphael, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.”https://doi.org/10.1137/19m1247139__SIAM Journal on Applied Dynamical Systems, 2020, 705–23.https://doi.org/10.1137/19m1247139 .

Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.”https://doi.org/10.1007/s002110050240__Numerische Mathematik 75 (1997): 293–317.https://doi.org/10.1007/s002110050240 .

Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.”https://doi.org/10.1142/s0218127405012533__International Journal of Bifurcation and Chaos, 2005, 763–91.https://doi.org/10.1142/s0218127405012533 .

Peitz, Sebastian, and Michael Dellnitz. “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction.”https://doi.org/10.3390/mca23020030__Mathematical and Computational Applications 23, no. 2 (2018).https://doi.org/10.3390/mca23020030 .

Witting, Katrin, Sina Ober-Blöbaum, and Michael Dellnitz. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.”https://doi.org/10.1007/s10898-012-9972-6__Journal of Global Optimization, 2013, 331–45.https://doi.org/10.1007/s10898-012-9972-6 .

Noé, Frank, and Feliks Nüske. “A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems.”https://doi.org/10.1137/110858616__Multiscale Modeling &; Simulation, 2013, 635–55.https://doi.org/10.1137/110858616 .

Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.”https://doi.org/10.1088/0951-7715/8/6/009__Nonlinearity, 1995, 1039–66.https://doi.org/10.1088/0951-7715/8/6/009 .

Vieluf, Solveig, Karin Mora, Christian Gölz, Eva-Maria Reuter, Ben Godde, Michael Dellnitz, Claus Reinsberger, and Claudia Voelcker-Rehage. “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control.”https://doi.org/10.1016/j.neuroscience.2018.07.025__Neuroscience, 2018, 203–13.https://doi.org/10.1016/j.neuroscience.2018.07.025 .

Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.”https://doi.org/10.1142/s0218127497001655__International Journal of Bifurcation and Chaos, 1997, 2475–85.https://doi.org/10.1142/s0218127497001655 .

Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.”https://doi.org/10.1016/s0960-0779(96)00118-x__Chaos, Solitons &; Fractals, 1997, 525–34.https://doi.org/10.1016/s0960-0779(96)00118-x .

Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.”https://doi.org/10.1007/s007910050006__Computing and Visualization in Science, 1998, 63–68.https://doi.org/10.1007/s007910050006 .

Junge, Oliver. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures: Proof of Convergence.”https://doi.org/10.1080/14689360109696233__Dynamical Systems, 2001, 213–22.https://doi.org/10.1080/14689360109696233 .

Klus, Stefan, Tuhin Sahai, Cong Liu, and Michael Dellnitz. “An Efficient Algorithm for the Parallel Solution of High-Dimensional Differential Equations.”https://doi.org/10.1016/j.cam.2010.12.026__Journal of Computational and Applied Mathematics, 2011, 3053–62.https://doi.org/10.1016/j.cam.2010.12.026 .

Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.”https://doi.org/10.1007/s10957-020-01803-w__Journal of Optimization Theory and Applications 188 (2021): 696–723.https://doi.org/10.1007/s10957-020-01803-w .

Timmermann, Robert, and Michael Dellnitz. “Analysis of Team and Player Performance Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.

Klus, Stefan, Sebastian Peitz, and Ingmar Schuster. “Analyzing High-Dimensional Time-Series Data Using Kernel Transfer  Operator Eigenfunctions.” ArXiv:1805.10118, 2018.

Preis, Robert, Burkhard Monien, and Stefan Schamberger. “Approximation Algorithms for Multilevel Graph Partitioning.”https://doi.org/10.1201/9781420010749.ch60__In Handbook of Approximation Algorithms and Metaheuristics, 2007.https://doi.org/10.1201/9781420010749.ch60 .

Demoures, Francois, Francois Gay-Balmaz, Thomas Leitz, Sigrid Leyendecker, Sina Ober-Blöbaum, and Tudor S. Ratiu. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.”https://doi.org/10.1002/pamm.201310018__PAMM, 2013, 45–46.https://doi.org/10.1002/pamm.201310018 .

Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.”https://doi.org/10.1063/1.5100131__The Journal of Chemical Physics, 2019.https://doi.org/10.1063/1.5100131 .

Dellnitz, Michael. “Collisions of Chaotic Attractors.” Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 1994, 411–28.

Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.https://doi.org/10.17619/UNIPB/1-1327 .

Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.”https://doi.org/10.1007/978-3-642-58360-5_5__In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg, 1999.https://doi.org/10.1007/978-3-642-58360-5_5 .

Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.”https://doi.org/10.1504/ijcsm.2009.027876__International Journal of Computing Science and Mathematics, 2009.https://doi.org/10.1504/ijcsm.2009.027876 .

Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.”https://doi.org/10.1098/rspa.2003.1143__Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003, 2933–55.https://doi.org/10.1098/rspa.2003.1143 .

Dellnitz, Michael. “Computational Bifurcation of Periodic Solutions in Systems with Symmetry.”https://doi.org/10.1093/imanum/12.3.429__IMA Journal of Numerical Analysis 12, no. 3 (1992): 429–55.https://doi.org/10.1093/imanum/12.3.429 .

Dellnitz, Michael, and Bodo Werner. “Computational Methods for Bifurcation Problems with Symmetries—with Special Attention to Steady State and Hopf Bifurcation Points.”https://doi.org/10.1016/0377-0427(89)90150-7__Journal of Computational and Applied Mathematics, 1989, 97–123.https://doi.org/10.1016/0377-0427(89)90150-7 .

Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations for Variational Multirate Integration.”https://doi.org/10.1002/pamm.201310017__PAMM, 2013, 43–44.https://doi.org/10.1002/pamm.201310017 .

Dellnitz, Michael, and Robert Preis. “Congestion and Almost Invariant Sets in Dynamical Systems.”https://doi.org/10.1007/3-540-45084-x_8__In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003.https://doi.org/10.1007/3-540-45084-x_8 .

Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.”https://doi.org/10.1007/978-90-481-9884-9_12__In Nonlinear Science and Complexity. Dordrecht, 2010.https://doi.org/10.1007/978-90-481-9884-9_12 .

Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.”https://doi.org/10.1007/s11071-019-05092-5__Nonlinear Dynamics, 2019.https://doi.org/10.1007/s11071-019-05092-5 .

Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, and Ansgar Trächtler. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.”https://doi.org/10.1080/00207179.2014.893450__International Journal of Control, 2014, 1886–1905.https://doi.org/10.1080/00207179.2014.893450 .

Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear Approximations  Obtained from Data.” ArXiv:1801.06419, 2018.

Schütze, Oliver, Marco Laumanns, Carlos A. Coello Coello, Michael Dellnitz, and El-Ghazali Talbi. “Convergence of Stochastic Search Algorithms to Finite Size Pareto Set Approximations.”https://doi.org/10.1007/s10898-007-9265-7__Journal of Global Optimization, 2008, 559–77.https://doi.org/10.1007/s10898-007-9265-7 .

Schütze, Oliver, Sanaz Mostaghim, Michael Dellnitz, and Jürgen Teich. “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques.”https://doi.org/10.1007/3-540-36970-8_9__In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003.https://doi.org/10.1007/3-540-36970-8_9 .

Dellnitz, M., O. Schÿfdtze, and T. Hestermeyer. “Covering Pareto Sets by Multilevel Subdivision Techniques.”https://doi.org/10.1007/s10957-004-6468-7__Journal of Optimization Theory and Applications, 2005, 113–36.https://doi.org/10.1007/s10957-004-6468-7 .

Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas Hohmann. “Cycling Chaos.”https://doi.org/10.1142/s0218127495000909__International Journal of Bifurcation and Chaos, 1995, 1243–47.https://doi.org/10.1142/s0218127495000909 .

Klus, Stefan, Feliks Nüske, Sebastian Peitz, Jan-Hendrik Niemann, Cecilia Clementi, and Christof Schütte. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.”https://doi.org/10.1016/j.physd.2020.132416__Physica D: Nonlinear Phenomena 406 (2020).https://doi.org/10.1016/j.physd.2020.132416 .

Peitz, Sebastian, Samuel E. Otto, and Clarence W. Rowley. “Data-Driven Model Predictive Control Using Interpolated Koopman  Generators.”https://doi.org/10.1137/20M1325678__SIAM Journal on Applied Dynamical Systems 19, no. 3 (2020): 2162–93.https://doi.org/10.1137/20M1325678 .

Klus, Stefan, Feliks Nüske, Péter Koltai, Hao Wu, Ioannis Kevrekidis, Christof Schütte, and Frank Noé. “Data-Driven Model Reduction and Transfer Operator Approximation.”https://doi.org/10.1007/s00332-017-9437-7__Journal of Nonlinear Science, 2018, 985–1010.https://doi.org/10.1007/s00332-017-9437-7 .

Bieker, Katharina, Sebastian Peitz, Steven L. Brunton, J. Nathan Kutz, and Michael Dellnitz. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.”https://doi.org/10.1007/s00162-020-00520-4__Theoretical and Computational Fluid Dynamics 34 (2020): 577–591.https://doi.org/10.1007/s00162-020-00520-4 .

Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models.”https://doi.org/10.3390/mca26020031__Mathematical and Computational Applications 26, no. 2 (2021).https://doi.org/10.3390/mca26020031 .

Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.”https://doi.org/10.1109/apec.2005.1452979__In Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005.https://doi.org/10.1109/apec.2005.1452979 .

Schütze, Oliver, Massimiliano Vasile, Oliver Junge, Michael Dellnitz, and Dario Izzo. “Designing Optimal Low-Thrust Gravity-Assist Trajectories Using Space Pruning and a Multi-Objective Approach.”https://doi.org/10.1080/03052150802391734__Engineering Optimization, 2009, 155–81.https://doi.org/10.1080/03052150802391734 .

Froyland, Gary, and Michael Dellnitz. “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles.”https://doi.org/10.1137/s106482750238911x__SIAM Journal on Scientific Computing, 2003, 1839–63.https://doi.org/10.1137/s106482750238911x .

Thiere, Bianca, Sina Ober-Blöbaum, and Pierpaolo Pergola. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.”https://doi.org/10.2514/6.2010-7962__In AIAA/AAS Astrodynamics Specialist Conference, 2010.https://doi.org/10.2514/6.2010-7962 .

Barany, Ernest, Michael Dellnitz, and Martin Golubitsky. “Detecting the Symmetry of Attractors.”https://doi.org/10.1016/0167-2789(93)90198-a__Physica D: Nonlinear Phenomena, 1993, 66–87.https://doi.org/10.1016/0167-2789(93)90198-a .

Froyland, Gary, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier. “Detection of Coherent Oceanic Structures via Transfer Operators.”https://doi.org/10.1103/physrevlett.98.224503__Physical Review Letters, 2007.https://doi.org/10.1103/physrevlett.98.224503 .

Elsässer, Robert, Burkhard Monien, and Robert Preis. “Diffusion Schemes for Load Balancing on Heterogeneous Networks.”https://doi.org/10.1007/s00224-002-1056-4__Theory of Computing Systems, 2002, 305–20.https://doi.org/10.1007/s00224-002-1056-4 .

Meyer, A. “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets.”https://doi.org/10.3182/20121003-3-mx-4033.00008__IFAC Proceedings Volumes, 2012, 28–33.https://doi.org/10.3182/20121003-3-mx-4033.00008 .

Leyendecker, Sigrid, Sina Ober-Blöbaum, Jerrold E. Marsden, and Michael Ortiz. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.”https://doi.org/10.1115/detc2007-34574__In Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.https://doi.org/10.1115/detc2007-34574 .

Demoures, F., F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.”https://doi.org/10.1007/s00211-014-0659-4__Numerische Mathematik, 2015, 73–123.https://doi.org/10.1007/s00211-014-0659-4 .

Specht, Andreas, Sina Ober-Blobaum, Oliver Wallscheid, Christoph Romaus, and Joachim Bocker. “Discrete-Time Model of an IPMSM Based on Variational Integrators.”https://doi.org/10.1109/iemdc.2013.6556322__In 2013 International Electric Machines &; Drives Conference, 2013.https://doi.org/10.1109/iemdc.2013.6556322 .

Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Discretized Switching Time Optimization Problems.”https://doi.org/10.23919/ecc.2013.6669577__In 2013 European Control Conference (ECC), 2013.https://doi.org/10.23919/ecc.2013.6669577 .

Klöpper, Benjamin, Herbert Podlogar, Jürgen Gausemeier, and Katrin Witting. “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems.”https://doi.org/10.1109/dexa.2008.111__In 2008 19th International Conference on Database and Expert Systems Applications, 2008.https://doi.org/10.1109/dexa.2008.111 .

Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.”https://doi.org/10.1137/21M1412682__SIAM Journal on Scientific Computing 45, no. 2 (2023): 9–95.https://doi.org/10.1137/21M1412682 .

Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient Virtual Design and Testing of Autonomous Vehicles.”https://doi.org/10.1007/978-3-030-81455-7_23__In German Success Stories in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International Publishing, 2022.https://doi.org/10.1007/978-3-030-81455-7_23 .

Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.”https://doi.org/10.1007/978-94-011-0956-7_9__In Dynamics, Bifurcation and Symmetry. Dordrecht, 1994.https://doi.org/10.1007/978-94-011-0956-7_9 .

Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.”https://doi.org/10.1007/s11571-020-09656-9__Cognitive Neurodynamics, 2021.https://doi.org/10.1007/s11571-020-09656-9 .

Flaskamp, K., and S. Ober-Blobaum. “Energy Efficient Control for Mechanical Systems Based on Inherent Dynamical Structures.”https://doi.org/10.1109/acc.2012.6314820__In 2012 American Control Conference (ACC), 2012.https://doi.org/10.1109/acc.2012.6314820 .

Knoke, Tobias, Christoph Romaus, Joachim Bocker, Alessandro Dell’Aere, and Katrin Witting. “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization.”https://doi.org/10.1109/iecon.2006.347705__In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.https://doi.org/10.1109/iecon.2006.347705 .

Schneider, T., B. Schulz, C. Henke, K. Witting, D. Steenken, and J. Bocker. “Energy Transfer via Linear Doubly-Fed Motor in Different Operating Modes.”https://doi.org/10.1109/iemdc.2009.5075267__In 2009 IEEE International Electric Machines and Drives Conference, 2009.https://doi.org/10.1109/iemdc.2009.5075267 .

Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.”https://doi.org/10.1002/rnc.5197__International Journal of Robust and Nonlinear Control 30(17) (2020): 7593–7618.https://doi.org/10.1002/rnc.5197 .

Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems  with Symmetries.”https://doi.org/10.1002/rnc.5281__International Journal of Robust and Nonlinear Control 31(2) (2021): 380–403.https://doi.org/10.1002/rnc.5281 .

Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring Invariant Sets and Invariant Measures.”https://doi.org/10.1063/1.166223__Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997, 221–28.https://doi.org/10.1063/1.166223 .

Froyland, Gary. “Extracting Dynamical Behavior via Markov Models.”https://doi.org/10.1007/978-1-4612-0177-9_12__In Nonlinear Dynamics and Statistics. Boston, MA, 2001.https://doi.org/10.1007/978-1-4612-0177-9_12 .

Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023.

Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.”https://doi.org/10.1007/s10957-024-02389-3__Journal of Optimization Theory and Applications, 2024.https://doi.org/10.1007/s10957-024-02389-3 .

Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.”https://doi.org/10.1007/978-3-030-35713-9_10__In Lecture Notes in Control and Information Sciences, 484:257–82. Lecture Notes in Control and Information Sciences. Cham: Springer, 2020.https://doi.org/10.1007/978-3-030-35713-9_10 .

Dellnitz, M. “Finding Zeros by Multilevel Subdivision Techniques.”https://doi.org/10.1093/imanum/22.2.167__IMA Journal of Numerical Analysis, 2002, 167–85.https://doi.org/10.1093/imanum/22.2.167 .

Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.”https://doi.org/10.1109/precede.2019.8753313__In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.https://doi.org/10.1109/precede.2019.8753313 .

Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.”https://doi.org/10.1007/s00332-022-09862-1__Journal of Nonlinear Science 33 (2023).https://doi.org/10.1007/s00332-022-09862-1 .

Dellnitz, M, I Melbourne, and J E Marsden. “Generic Bifurcation of Hamiltonian Vector Fields with Symmetry.”https://doi.org/10.1088/0951-7715/5/4/008__Nonlinearity, 1992, 979–96.https://doi.org/10.1088/0951-7715/5/4/008 .

Dellnitz, Michael, Jerrold E. Marsden, Ian Melbourne, and Jürgen Scheurle. “Generic Bifurcations of Pendula.”https://doi.org/10.1007/978-3-0348-7536-3_10__In Bifurcation and Symmetry. Basel, 1992.https://doi.org/10.1007/978-3-0348-7536-3_10 .

Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.”https://doi.org/10.1016/0377-0427(94)90032-9__Journal of Computational and Applied Mathematics, 1994, 249–59.https://doi.org/10.1016/0377-0427(94)90032-9 .

Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.”https://doi.org/10.1007/s10957-007-9312-z__Journal of Optimization Theory and Applications, 2007, 411–29.https://doi.org/10.1007/s10957-007-9312-z .

Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global Optimization of Silicon Nanoclusters.”https://doi.org/10.1016/j.apsusc.2003.11.007__Applied Surface Science, 2004, 108–13.https://doi.org/10.1016/j.apsusc.2003.11.007 .

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

Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.”https://doi.org/10.1007/978-3-319-64063-1_7__In NEO 2016, 159–82. Cham, 2017.https://doi.org/10.1007/978-3-319-64063-1_7 .

Dellnitz, Michael, Mirko Hessel-von Molo, Philipp Metzner, Robert Preis, and Christof Schütte. “Graph Algorithms for Dynamical Systems.”https://doi.org/10.1007/3-540-35657-6_23__In Analysis, Modeling and Simulation of Multiscale Problems, 2006.https://doi.org/10.1007/3-540-35657-6_23 .

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

Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.”https://doi.org/10.1093/comnet/cnae009__Journal of Complex Networks 12, no. 2 (2024).https://doi.org/10.1093/comnet/cnae009 .

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

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.

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

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.”https://doi.org/10.1137/23m1561075__SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53.https://doi.org/10.1137/23m1561075 .

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

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

Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.”https://doi.org/10.1007/s10898-020-00983-z__Journal of Global Optimization 80 (2021): 3–29.https://doi.org/10.1007/s10898-020-00983-z .

Klus, Stefan, Feliks Nüske, and Boumediene Hamzi. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.”https://doi.org/10.3390/e22070722__Entropy, 2020.https://doi.org/10.3390/e22070722 .

Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of Quantum Systems.”https://doi.org/10.1088/1751-8121/ac7d22__Journal of Physics A: Mathematical and Theoretical 55, no. 31 (2022): 314002.https://doi.org/10.1088/1751-8121/ac7d22 .

Hanke, Sören, Sebastian Peitz, Oliver Wallscheid, Stefan Klus, Joachim Böcker, and Michael Dellnitz. “Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives.” ArXiv:1804.00854, 2018.

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

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

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

Froyland, Gary. “Markov Modelling for Random Dynamical Systems.”https://doi.org/10.1142/9789812792617_0200__In Equadiff 99, 2013.https://doi.org/10.1142/9789812792617_0200 .

Nüske, Feliks, Hao Wu, Jan-Hendrik Prinz, Christoph Wehmeyer, Cecilia Clementi, and Frank Noé. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.”https://doi.org/10.1063/1.4976518__The Journal of Chemical Physics, 2017.https://doi.org/10.1063/1.4976518 .

Dellnitz, Michael, Martin Golubitsky, and Ian Melbourne. “Mechanisms of Symmetry Creation.”https://doi.org/10.1007/978-3-0348-7536-3_9__In Bifurcation and Symmetry. Basel, 1992.https://doi.org/10.1007/978-3-0348-7536-3_9 .

Anacker, Harald, Michael Dellnitz, Kathrin Flaßkamp, Stefan Groesbrink, Philip Hartmann, Christian Heinzemann, Christian Horenkamp, et al. “Methods for the Design and Development.”https://doi.org/10.1007/978-3-642-45435-6_5__In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014.https://doi.org/10.1007/978-3-642-45435-6_5 .

Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.”https://doi.org/10.1007/978-3-642-25100-9_14__In Mathematics in Industry. Berlin, Heidelberg, 2012.https://doi.org/10.1007/978-3-642-25100-9_14 .

Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.”https://doi.org/10.1007/978-3-642-25100-9_14__In Mathematics in Industry. Berlin, Heidelberg, 2012.https://doi.org/10.1007/978-3-642-25100-9_14 .

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

Wang, Fang, and Michael Dellnitz. “Multi-Objective Shape Optimization for Piezoceramics.”https://doi.org/10.1109/spawda.2008.4775823__In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.https://doi.org/10.1109/spawda.2008.4775823 .

Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022.

Dellnitz, Michael, and Oliver Schütze. “Multilevel Subdivision Techniques for Scalar Optimization Problems.”https://doi.org/10.1007/978-1-4614-3128-2_10__In Global Analysis of Nonlinear Dynamics. New York, NY, 2012.https://doi.org/10.1007/978-1-4614-3128-2_10 .

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

Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.”https://doi.org/10.1007/978-3-319-23413-7_87__In Progress in Industrial Mathematics at ECMI, 22:633–41. Mathematics in Industry. Cham: Springer International Publishing, 2016.https://doi.org/10.1007/978-3-319-23413-7_87 .

Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.”https://doi.org/10.1007/978-3-319-23413-7_87__In Mathematics in Industry. Cham, 2016.https://doi.org/10.1007/978-3-319-23413-7_87 .

Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.”https://doi.org/10.1007/s10440-018-0209-7__Acta Applicandae Mathematicae 161, no. 1 (2018): 171–199.https://doi.org/10.1007/s10440-018-0209-7 .

Ober-Blöbaum, Sina, and Kathrin Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.”https://doi.org/10.1002/pamm.201510309__PAMM, 2015, 639–40.https://doi.org/10.1002/pamm.201510309 .

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

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

Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.

Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.”https://doi.org/10.1002/pamm.201510296__PAMM 15, no. 1 (2015): 613–14.https://doi.org/10.1002/pamm.201510296 .

Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.”https://doi.org/10.1002/pamm.201510296__In PAMM, 613–14, 2015.https://doi.org/10.1002/pamm.201510296 .

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

Baier, Robert, and Mirko Hessel-von Molo. “Newton’s Method and Secant Method for Set-Valued Mappings.”https://doi.org/10.1007/978-3-642-29843-1_9__In Large-Scale Scientific Computing. Berlin, Heidelberg, 2012.https://doi.org/10.1007/978-3-642-29843-1_9 .

Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian Vector Fields Commuting with the Action of a Compact Lie Group.”https://doi.org/10.1017/s0305004100071577__Mathematical Proceedings of the Cambridge Philosophical Society, 1993, 235–68.https://doi.org/10.1017/s0305004100071577 .

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

Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.”https://doi.org/10.1137/s0036142996313002__SIAM Journal on Numerical Analysis, 1999, 491–515.https://doi.org/10.1137/s0036142996313002 .

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

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

Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d.

Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.”https://doi.org/10.1080/14689367.2019.1661355__Dynamical Systems 35, no. 2 (2020): 197–215.https://doi.org/10.1080/14689367.2019.1661355 .

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

Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum of the Perron-Frobenius Operator.”https://doi.org/10.1088/0951-7715/13/4/310__Nonlinearity, 2000, 1171–88.https://doi.org/10.1088/0951-7715/13/4/310 .

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

Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.”https://doi.org/10.1007/s10898-022-01223-2__Journal of Global Optimization 85, no. 3 (2023): 709–41.https://doi.org/10.1007/s10898-022-01223-2 .

Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.”https://doi.org/10.1109/TPAMI.2021.3114962__IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808.https://doi.org/10.1109/TPAMI.2021.3114962 .

Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.”https://doi.org/10.1016/j.automatica.2022.110840__Automatica 149 (2023).https://doi.org/10.1016/j.automatica.2022.110840 .

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

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

Elsässer, Robert, Burkhard Monien, Robert Preis, and Andreas Frommer. “Optimal Diffusion Schemes and Load Balancing on Product Graphs.”https://doi.org/10.1142/s0129626404001714__Parallel Processing Letters, 2004, 61–73.https://doi.org/10.1142/s0129626404001714 .

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

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

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

Flaßkamp, Kathrin, Todd Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized Switched Systems.”https://doi.org/10.1002/pamm.201310196__PAMM, 2013, 401–2.https://doi.org/10.1002/pamm.201310196 .

Krüger, Martin, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*.”https://doi.org/10.3182/20110828-6-it-1002.02487__IFAC Proceedings Volumes, 2011, 12611–19.https://doi.org/10.3182/20110828-6-it-1002.02487 .

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

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

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

Hruska, Eugen, Jayvee R. Abella, Feliks Nüske, Lydia E. Kavraki, and Cecilia Clementi. “Quantitative Comparison of Adaptive Sampling Methods for Protein Dynamics.”https://doi.org/10.1063/1.5053582__The Journal of Chemical Physics, 2018.https://doi.org/10.1063/1.5053582 .

Litzinger, Florian, Lorenzo Boninsegna, Hao Wu, Feliks Nüske, Raajen Patel, Richard Baraniuk, Frank Noé, and Cecilia Clementi. “Rapid Calculation of Molecular Kinetics Using Compressed Sensing.”https://doi.org/10.1021/acs.jctc.8b00089__Journal of Chemical Theory and Computation, 2018, 2771–83.https://doi.org/10.1021/acs.jctc.8b00089 .

Ringkamp, Maik, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.”https://doi.org/10.1002/pamm.201510008__PAMM, 2015, 27–30.https://doi.org/10.1002/pamm.201510008 .

Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.”https://doi.org/10.1196/annals.1370.027__Annals of the New York Academy of Sciences, 2006, 44–54.https://doi.org/10.1196/annals.1370.027 .

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

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

Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.”https://doi.org/10.1142/9789812792617_0178__In Equadiff 99, 2000.https://doi.org/10.1142/9789812792617_0178 .

Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.”https://doi.org/10.1007/978-3-030-79393-7_3__In Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian, Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022.https://doi.org/10.1007/978-3-030-79393-7_3 .

Jakobsmeyer, R., R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, and J. Baumeister. “Running Performance Analysis in Basketball Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.

Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.”https://doi.org/10.1109/ipdps.2005.387__In 19th IEEE International Parallel and Distributed Processing Symposium, 2005.https://doi.org/10.1109/ipdps.2005.387 .

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

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

Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.”https://doi.org/10.1080/14689367.2016.1215410__Dynamical Systems, 2017, 61–79.https://doi.org/10.1080/14689367.2016.1215410 .

Dellnitz, Michael, Kathrin Padberg, Marcus Post, and Bianca Thiere. “Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems.”https://doi.org/10.1063/1.2710046__In AIP Conference Proceedings, 2007.https://doi.org/10.1063/1.2710046 .

Schütze, Oliver, Katrin Witting, Sina Ober-Blöbaum, and Michael Dellnitz. “Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems.”https://doi.org/10.1007/978-3-642-32726-1_5__In EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Berlin, Heidelberg, 2013.https://doi.org/10.1007/978-3-642-32726-1_5 .

Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods for Dynamical Systems.”https://doi.org/10.1016/s1874-575x(02)80026-1__In Handbook of Dynamical Systems, 2002.https://doi.org/10.1016/s1874-575x(02)80026-1 .

Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods in Space Mission Design.”https://doi.org/10.1016/s1874-9305(07)80007-0__In Elsevier Astrodynamics Series, 2006.https://doi.org/10.1016/s1874-9305(07)80007-0 .

Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition.”https://doi.org/10.1007/978-3-319-75319-5_3__In Reduced-Order Modeling (ROM) for Simulation and Optimization, 47–72. Cham, 2018.https://doi.org/10.1007/978-3-319-75319-5_3 .

Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures.”https://doi.org/10.1007/s00332-012-9140-7__Journal of Nonlinear Science, 2012, 599–629.https://doi.org/10.1007/s00332-012-9140-7 .

Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.”https://doi.org/10.1002/pamm.201010281__PAMM, 2010, 577–78.https://doi.org/10.1002/pamm.201010281 .

Tantardini, Marco, Elena Fantino, Yuan Ren, Pierpaolo Pergola, Gerard Gómez, and Josep J. Masdemont. “Spacecraft Trajectories to the L3 Point of the Sun–Earth Three-Body Problem.”https://doi.org/10.1007/s10569-010-9299-x__Celestial Mechanics and Dynamical Astronomy, 2010, 215–32.https://doi.org/10.1007/s10569-010-9299-x .

Boninsegna, Lorenzo, Feliks Nüske, and Cecilia Clementi. “Sparse Learning of Stochastic Dynamical Equations.”https://doi.org/10.1063/1.5018409__The Journal of Chemical Physics, 2018.https://doi.org/10.1063/1.5018409 .

Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.”https://doi.org/10.3390/e23020134__Entropy, 2021.https://doi.org/10.3390/e23020134 .

Vasile, Massimiliano, Oliver Schütze, Oliver Junge, Gimbardo Radice, and Michael Dellnitz. Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.

Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart. “Spirals in Scalar Reaction–Diffusion Equations.”https://doi.org/10.1142/s0218127495001149__International Journal of Bifurcation and Chaos, 1995, 1487–1501.https://doi.org/10.1142/s0218127495001149 .

Hage-Packhäuser, Sebastian, and Michael Dellnitz. “Stabilization via Symmetry Switching in Hybrid Dynamical Systems.”https://doi.org/10.3934/dcdsb.2011.16.239__Discrete &; Continuous Dynamical Systems - B 16, no. 1 (2011): 239–63.https://doi.org/10.3934/dcdsb.2011.16.239 .

Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Switching Time Optimization in Discretized Hybrid Dynamical Systems.”https://doi.org/10.1109/cdc.2012.6426414__In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012.https://doi.org/10.1109/cdc.2012.6426414 .

Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.”https://doi.org/10.1088/2632-2153/ac14ad__Machine Learning: Science and Technology, 2021.https://doi.org/10.1088/2632-2153/ac14ad .

Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.”https://doi.org/10.3182/20090916-3-es-3003.00013__IFAC Proceedings Volumes, 2009, 68–73.https://doi.org/10.3182/20090916-3-es-3003.00013 .

Meyer, A., M. Dellnitz, and M. Hessel-von Molo. “Symmetries in Timed Continuous Petri Nets.”https://doi.org/10.1016/j.nahs.2010.05.005__Nonlinear Analysis: Hybrid Systems, 2011, 125–35.https://doi.org/10.1016/j.nahs.2010.05.005 .

Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.”https://doi.org/10.1142/s021812749500123x__International Journal of Bifurcation and Chaos, 1995, 1643–76.https://doi.org/10.1142/s021812749500123x .

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

Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.”https://doi.org/10.1007/978-3-030-51264-4_9__In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020.https://doi.org/10.1007/978-3-030-51264-4_9 .

Dellnitz, Michael, Martin Golubitsky, and Matthew Nicol. “Symmetry of Attractors and the Karhunen-Loève Decomposition.”https://doi.org/10.1007/978-1-4612-0859-4_4__In Trends and Perspectives in Applied Mathematics. New York, NY, 1994.https://doi.org/10.1007/978-1-4612-0859-4_4 .

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

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

Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based Computation of Metastable and Coherent Sets.”https://doi.org/10.1016/j.physd.2021.133018__Physica D: Nonlinear Phenomena, 2021.https://doi.org/10.1016/j.physd.2021.133018 .

Klus, Stefan, Patrick Gelß, Sebastian Peitz, and Christof Schütte. “Tensor-Based Dynamic Mode Decomposition.”https://doi.org/10.1088/1361-6544/aabc8f__Nonlinearity 31, no. 7 (2018): 3359–80.https://doi.org/10.1088/1361-6544/aabc8f .

Dellnitz, Michael, Gary Froyland, and Oliver Junge. “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems.”https://doi.org/10.1007/978-3-642-56589-2_7__In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg, 2001.https://doi.org/10.1007/978-3-642-56589-2_7 .

Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.”https://doi.org/10.1007/978-3-030-51264-4_3__In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020.https://doi.org/10.1007/978-3-030-51264-4_3 .