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228 Publications
2017 | Dissertation | LibreCat-ID: 10594 | 
Peitz, Sebastian. Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017. https://doi.org/10.17619/UNIPB/1-176.
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2009 | Journal Article | LibreCat-ID: 16499
Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation.” Archive for Rational Mechanics and Analysis, 2009, 303–62. https://doi.org/10.1007/s00205-009-0240-y.
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich Köhler, Mirko Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles.” In Procedia Technology, 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.
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0199.
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems.” In Numerical and Evolutionary Optimization – NEO 2017. Cham, 2018. https://doi.org/10.1007/978-3-319-96104-0_2.
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2024 | Preprint | LibreCat-ID: 51334 |
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.
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze, Oliver, El-ghazali Talbi, Gregorio Toscano Pulido, Carlos Coello Coello, and Luis Vicente Santana-Quintero. “A Memetic PSO Algorithm for Scalar Optimization Problems.” In 2007 IEEE Swarm Intelligence Symposium, 2007. https://doi.org/10.1109/sis.2007.368036.
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2009 | Journal Article | LibreCat-ID: 16574
Dellnitz, Michael, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, and Bianca Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories Using Optimal Control.” Celestial Mechanics and Dynamical Astronomy, 2009, 33–59. https://doi.org/10.1007/s10569-009-9229-y.
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2017 | Journal Article | LibreCat-ID: 8756
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles.” 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.
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2017 | Journal Article | LibreCat-ID: 16657
Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This Research Was Funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (It’s OWL).” IFAC-PapersOnLine, 2017, 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum, Sina, and Albert Seifried. “A Multiobjective Optimization Approach for Optimal Control Problems of Mechanical Systems with Uncertainties.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669594.
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2008 | Journal Article | LibreCat-ID: 16678
Witting, Katrin, Bernd Schulz, Michael Dellnitz, Joachim Böcker, and Norbert Fröhleke. “A New Approach for Online Multiobjective Optimization of Mechatronic Systems.” International Journal on Software Tools for Technology Transfer, 2008, 223–31. https://doi.org/10.1007/s10009-008-0066-1.
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, Oliver. “A New Data Structure for the Nondominance Problem in Multi-Objective Optimization.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_36.
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2024 | Journal Article | LibreCat-ID: 51208
Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, 2024. https://doi.org/10.1007/s10589-024-00552-0.
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric Periodic Points.” Nonlinearity, 1995, 1067–75. https://doi.org/10.1088/0951-7715/8/6/010.
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2023 | Preprint | LibreCat-ID: 45498
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.
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| arXiv
2004 | Journal Article | LibreCat-ID: 16527
Day, S., O. Junge, and K. Mischaikow. “A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems.” SIAM Journal on Applied Dynamical Systems, 2004, 117–60. https://doi.org/10.1137/030600210.
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2004 | Journal Article | LibreCat-ID: 16619
Junge, Oliver, and Hinke M. Osinga. “A Set Oriented Approach to Global Optimal Control.” ESAIM: Control, Optimisation and Calculus of Variations, 2004, 259–70. https://doi.org/10.1051/cocv:2004006.
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2005 | Journal Article | LibreCat-ID: 16613
Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback Stabilization.” Systems & Control Letters, 2005, 169–80. https://doi.org/10.1016/j.sysconle.2004.08.005.
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz, Michael, Stefan Klus, and Adrian Ziessler. “A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty.” SIAM Journal on Applied Dynamical Systems, 2017, 120–38. https://doi.org/10.1137/16m1072735.
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2020 | Journal Article | LibreCat-ID: 16710 |
Gerlach, Raphael, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, 705–23. https://doi.org/10.1137/19m1247139.
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, Michael, and Andreas Hohmann. “A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.” Numerische Mathematik 75 (1997): 293–317. https://doi.org/10.1007/s002110050240.
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2005 | Journal Article | LibreCat-ID: 16627
Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields.” International Journal of Bifurcation and Chaos, 2005, 763–91. https://doi.org/10.1142/s0218127405012533.
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2018 | Journal Article | LibreCat-ID: 8751 |
Peitz, Sebastian, and Michael Dellnitz. “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction.” Mathematical and Computational Applications 23, no. 2 (2018). https://doi.org/10.3390/mca23020030.
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2013 | Journal Article | LibreCat-ID: 16677
Witting, Katrin, Sina Ober-Blöbaum, and Michael Dellnitz. “A Variational Approach to Define Robustness for Parametric Multiobjective Optimization Problems.” Journal of Global Optimization, 2013, 331–45. https://doi.org/10.1007/s10898-012-9972-6.
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2013 | Journal Article | LibreCat-ID: 21935
Noé, Frank, and Feliks Nüske. “A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems.” Multiscale Modeling & Simulation, 2013, 635–55. https://doi.org/10.1137/110858616.
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.” Nonlinearity, 1995, 1039–66. https://doi.org/10.1088/0951-7715/8/6/009.
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf, Solveig, Karin Mora, Christian Gölz, Eva-Maria Reuter, Ben Godde, Michael Dellnitz, Claus Reinsberger, and Claudia Voelcker-Rehage. “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control.” Neuroscience, 2018, 203–13. https://doi.org/10.1016/j.neuroscience.2018.07.025.
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, Michael, and Oliver Junge. “Almost Invariant Sets in Chua’s Circuit.” International Journal of Bifurcation and Chaos, 1997, 2475–85. https://doi.org/10.1142/s0218127497001655.
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1997 | Journal Article | LibreCat-ID: 16614
Guder, Rabbijah, Michael Dellnitz, and Edwin Kreuzer. “An Adaptive Method for the Approximation of the Generalized Cell Mapping.” Chaos, Solitons & Fractals, 1997, 525–34. https://doi.org/10.1016/s0960-0779(96)00118-x.
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, Michael, and Oliver Junge. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures.” Computing and Visualization in Science, 1998, 63–68. https://doi.org/10.1007/s007910050006.
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2001 | Journal Article | LibreCat-ID: 16617
Junge, Oliver. “An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures: Proof of Convergence.” Dynamical Systems, 2001, 213–22. https://doi.org/10.1080/14689360109696233.
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2011 | Journal Article | LibreCat-ID: 16624
Klus, Stefan, Tuhin Sahai, Cong Liu, and Michael Dellnitz. “An Efficient Algorithm for the Parallel Solution of High-Dimensional Differential Equations.” Journal of Computational and Applied Mathematics, 2011, 3053–62. https://doi.org/10.1016/j.cam.2010.12.026.
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2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.” Journal of Optimization Theory and Applications 188 (2021): 696–723. https://doi.org/10.1007/s10957-020-01803-w.
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann, Robert, and Michael Dellnitz. “Analysis of Team and Player Performance Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2018 | Preprint | LibreCat-ID: 16293 |
Klus, Stefan, Sebastian Peitz, and Ingmar Schuster. “Analyzing High-Dimensional Time-Series Data Using Kernel Transfer Operator Eigenfunctions.” ArXiv:1805.10118, 2018.
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2007 | Book Chapter | LibreCat-ID: 16658
Preis, Robert, Burkhard Monien, and Stefan Schamberger. “Approximation Algorithms for Multilevel Graph Partitioning.” In Handbook of Approximation Algorithms and Metaheuristics, 2007. https://doi.org/10.1201/9781420010749.ch60.
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2013 | Journal Article | LibreCat-ID: 16583
Demoures, Francois, Francois Gay-Balmaz, Thomas Leitz, Sigrid Leyendecker, Sina Ober-Blöbaum, and Tudor S. Ratiu. “Asynchronous Variational Lie Group Integration for Geometrically Exact Beam Dynamics.” PAMM, 2013, 45–46. https://doi.org/10.1002/pamm.201310018.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 2019. https://doi.org/10.1063/1.5100131.
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz, Michael. “Collisions of Chaotic Attractors.” Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 1994, 411–28.
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2022 | Dissertation | LibreCat-ID: 31556 |
Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022. https://doi.org/10.17619/UNIPB/1-1327.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg, 1999. https://doi.org/10.1007/978-3-642-58360-5_5.
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” International Journal of Computing Science and Mathematics, 2009. https://doi.org/10.1504/ijcsm.2009.027876.
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2003 | Journal Article | LibreCat-ID: 16498
Aston, P. J., and M. Dellnitz. “Computation of the Dominant Lyapunov Exponent via Spatial Integration Using Matrix Norms.” Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003, 2933–55. https://doi.org/10.1098/rspa.2003.1143.
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1992 | Journal Article | LibreCat-ID: 17012
Dellnitz, Michael. “Computational Bifurcation of Periodic Solutions in Systems with Symmetry.” IMA Journal of Numerical Analysis 12, no. 3 (1992): 429–55. https://doi.org/10.1093/imanum/12.3.429.
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1989 | Journal Article | LibreCat-ID: 16682
Dellnitz, Michael, and Bodo Werner. “Computational Methods for Bifurcation Problems with Symmetries—with Special Attention to Steady State and Hopf Bifurcation Points.” Journal of Computational and Applied Mathematics, 1989, 97–123. https://doi.org/10.1016/0377-0427(89)90150-7.
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2013 | Journal Article | LibreCat-ID: 16608
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations for Variational Multirate Integration.” PAMM, 2013, 43–44. https://doi.org/10.1002/pamm.201310017.
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, Michael, and Robert Preis. “Congestion and Almost Invariant Sets in Dynamical Systems.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-45084-x_8.
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2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.” In Nonlinear Science and Complexity. Dordrecht, 2010. https://doi.org/10.1007/978-90-481-9884-9_12.
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019. https://doi.org/10.1007/s11071-019-05092-5.
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, and Ansgar Trächtler. “Control Strategies on Stable Manifolds for Energy-Efficient Swing-Ups of Double Pendula.” International Journal of Control, 2014, 1886–1905. https://doi.org/10.1080/00207179.2014.893450.
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2018 | Preprint | LibreCat-ID: 16292 |
Peitz, Sebastian. “Controlling Nonlinear PDEs Using Low-Dimensional Bilinear Approximations Obtained from Data.” ArXiv:1801.06419, 2018.
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2008 | Journal Article | LibreCat-ID: 16668
Schütze, Oliver, Marco Laumanns, Carlos A. Coello Coello, Michael Dellnitz, and El-Ghazali Talbi. “Convergence of Stochastic Search Algorithms to Finite Size Pareto Set Approximations.” Journal of Global Optimization, 2008, 559–77. https://doi.org/10.1007/s10898-007-9265-7.
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, Oliver, Sanaz Mostaghim, Michael Dellnitz, and Jürgen Teich. “Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques.” In Lecture Notes in Computer Science. Berlin, Heidelberg, 2003. https://doi.org/10.1007/3-540-36970-8_9.
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz, M., O. Sch�tze, and T. Hestermeyer. “Covering Pareto Sets by Multilevel Subdivision Techniques.” Journal of Optimization Theory and Applications, 2005, 113–36. https://doi.org/10.1007/s10957-004-6468-7.
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas Hohmann. “Cycling Chaos.” International Journal of Bifurcation and Chaos, 1995, 1243–47. https://doi.org/10.1142/s0218127495000909.
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2020 | Journal Article | LibreCat-ID: 16288
Klus, Stefan, Feliks Nüske, Sebastian Peitz, Jan-Hendrik Niemann, Cecilia Clementi, and Christof Schütte. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.” Physica D: Nonlinear Phenomena 406 (2020). https://doi.org/10.1016/j.physd.2020.132416.
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, Sebastian, Samuel E. Otto, and Clarence W. Rowley. “Data-Driven Model Predictive Control Using Interpolated Koopman Generators.” SIAM Journal on Applied Dynamical Systems 19, no. 3 (2020): 2162–93. https://doi.org/10.1137/20M1325678.
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2018 | Journal Article | LibreCat-ID: 21941
Klus, Stefan, Feliks Nüske, Péter Koltai, Hao Wu, Ioannis Kevrekidis, Christof Schütte, and Frank Noé. “Data-Driven Model Reduction and Transfer Operator Approximation.” Journal of Nonlinear Science, 2018, 985–1010. https://doi.org/10.1007/s00332-017-9437-7.
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2020 | Journal Article | LibreCat-ID: 16290 |
Bieker, Katharina, Sebastian Peitz, Steven L. Brunton, J. Nathan Kutz, and Michael Dellnitz. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.” Theoretical and Computational Fluid Dynamics 34 (2020): 577–591. https://doi.org/10.1007/s00162-020-00520-4.
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2021 | Journal Article | LibreCat-ID: 21337 |
Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models.” Mathematical and Computational Applications 26, no. 2 (2021). https://doi.org/10.3390/mca26020031.
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2005 | Conference Paper | LibreCat-ID: 16631
Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy Supply System for Railway Vehicles.” In Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005. https://doi.org/10.1109/apec.2005.1452979.
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2009 | Journal Article | LibreCat-ID: 16669
Schütze, Oliver, Massimiliano Vasile, Oliver Junge, Michael Dellnitz, and Dario Izzo. “Designing Optimal Low-Thrust Gravity-Assist Trajectories Using Space Pruning and a Multi-Objective Approach.” Engineering Optimization, 2009, 155–81. https://doi.org/10.1080/03052150802391734.
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, Gary, and Michael Dellnitz. “Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles.” SIAM Journal on Scientific Computing, 2003, 1839–63. https://doi.org/10.1137/s106482750238911x.
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere, Bianca, Sina Ober-Blöbaum, and Pierpaolo Pergola. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.” In AIAA/AAS Astrodynamics Specialist Conference, 2010. https://doi.org/10.2514/6.2010-7962.
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1993 | Journal Article | LibreCat-ID: 16518
Barany, Ernest, Michael Dellnitz, and Martin Golubitsky. “Detecting the Symmetry of Attractors.” Physica D: Nonlinear Phenomena, 1993, 66–87. https://doi.org/10.1016/0167-2789(93)90198-a.
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2007 | Journal Article | LibreCat-ID: 16602
Froyland, Gary, Kathrin Padberg, Matthew H. England, and Anne Marie Treguier. “Detection of Coherent Oceanic Structures via Transfer Operators.” Physical Review Letters, 2007. https://doi.org/10.1103/physrevlett.98.224503.
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, Robert, Burkhard Monien, and Robert Preis. “Diffusion Schemes for Load Balancing on Heterogeneous Networks.” Theory of Computing Systems, 2002, 305–20. https://doi.org/10.1007/s00224-002-1056-4.
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2012 | Journal Article | LibreCat-ID: 16635
Meyer, A. “Discontinuity Induced Bifurcations in Timed Continuous Petri Nets.” IFAC Proceedings Volumes, 2012, 28–33. https://doi.org/10.3182/20121003-3-mx-4033.00008.
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker, Sigrid, Sina Ober-Blöbaum, Jerrold E. Marsden, and Michael Ortiz. “Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics.” In Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007. https://doi.org/10.1115/detc2007-34574.
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2015 | Journal Article | LibreCat-ID: 16582
Demoures, F., F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, and Y. Weinand. “Discrete Variational Lie Group Formulation of Geometrically Exact Beam Dynamics.” Numerische Mathematik, 2015, 73–123. https://doi.org/10.1007/s00211-014-0659-4.
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2013 | Conference Paper | LibreCat-ID: 16672
Specht, Andreas, Sina Ober-Blobaum, Oliver Wallscheid, Christoph Romaus, and Joachim Bocker. “Discrete-Time Model of an IPMSM Based on Variational Integrators.” In 2013 International Electric Machines & Drives Conference, 2013. https://doi.org/10.1109/iemdc.2013.6556322.
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Discretized Switching Time Optimization Problems.” In 2013 European Control Conference (ECC), 2013. https://doi.org/10.23919/ecc.2013.6669577.
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper, Benjamin, Herbert Podlogar, Jürgen Gausemeier, and Katrin Witting. “Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems.” In 2008 19th International Conference on Database and Expert Systems Applications, 2008. https://doi.org/10.1109/dexa.2008.111.
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2023 | Journal Article | LibreCat-ID: 21600
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.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.
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| arXiv
2022 | Book Chapter | LibreCat-ID: 30294
Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient Virtual Design and Testing of Autonomous Vehicles.” 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.
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom.” In Dynamics, Bifurcation and Symmetry. Dordrecht, 1994. https://doi.org/10.1007/978-94-011-0956-7_9.
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2021 | Journal Article | LibreCat-ID: 21195
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.” Cognitive Neurodynamics, 2021. https://doi.org/10.1007/s11571-020-09656-9.
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp, K., and S. Ober-Blobaum. “Energy Efficient Control for Mechanical Systems Based on Inherent Dynamical Structures.” In 2012 American Control Conference (ACC), 2012. https://doi.org/10.1109/acc.2012.6314820.
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2006 | Conference Paper | LibreCat-ID: 16626
Knoke, Tobias, Christoph Romaus, Joachim Bocker, Alessandro Dell’Aere, and Katrin Witting. “Energy Management for an Onboard Storage System Based on Multi-Objective Optimization.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.347705.
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider, T., B. Schulz, C. Henke, K. Witting, D. Steenken, and J. Bocker. “Energy Transfer via Linear Doubly-Fed Motor in Different Operating Modes.” In 2009 IEEE International Electric Machines and Drives Conference, 2009. https://doi.org/10.1109/iemdc.2009.5075267.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems Under Uncertainty.” International Journal of Robust and Nonlinear Control 30(17) (2020): 7593–7618. https://doi.org/10.1002/rnc.5197.
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2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” International Journal of Robust and Nonlinear Control 31(2) (2021): 380–403. https://doi.org/10.1002/rnc.5281.
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| Download (ext.)
1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, Michael, Andreas Hohmann, Oliver Junge, and Martin Rumpf. “Exploring Invariant Sets and Invariant Measures.” Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997, 221–28. https://doi.org/10.1063/1.166223.
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, Gary. “Extracting Dynamical Behavior via Markov Models.” In Nonlinear Dynamics and Statistics. Boston, MA, 2001. https://doi.org/10.1007/978-1-4612-0177-9_12.
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2023 | Preprint | LibreCat-ID: 32447 |
Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023.
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| arXiv
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3.
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.” In Lecture Notes in Control and Information Sciences, 484:257–82. Lecture Notes in Control and Information Sciences. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-35713-9_10.
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. “Finding Zeros by Multilevel Subdivision Techniques.” IMA Journal of Numerical Analysis, 2002, 167–85. https://doi.org/10.1093/imanum/22.2.167.
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.” In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019. https://doi.org/10.1109/precede.2019.8753313.
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2023 | Journal Article | LibreCat-ID: 23428 |
Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science 33 (2023). https://doi.org/10.1007/s00332-022-09862-1.
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1992 | Journal Article | LibreCat-ID: 16548
Dellnitz, M, I Melbourne, and J E Marsden. “Generic Bifurcation of Hamiltonian Vector Fields with Symmetry.” Nonlinearity, 1992, 979–96. https://doi.org/10.1088/0951-7715/5/4/008.
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1992 | Book Chapter | LibreCat-ID: 16547
Dellnitz, Michael, Jerrold E. Marsden, Ian Melbourne, and Jürgen Scheurle. “Generic Bifurcations of Pendula.” In Bifurcation and Symmetry. Basel, 1992. https://doi.org/10.1007/978-3-0348-7536-3_10.
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1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for Equivariant Self-Adjoint Matrices.” Journal of Computational and Applied Mathematics, 1994, 249–59. https://doi.org/10.1016/0377-0427(94)90032-9.
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2007 | Journal Article | LibreCat-ID: 16612
Grüne, L., and O. Junge. “Global Optimal Control of Perturbed Systems.” Journal of Optimization Theory and Applications, 2007, 411–29. https://doi.org/10.1007/s10957-007-9312-z.
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2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global Optimization of Silicon Nanoclusters.” Applied Surface Science, 2004, 108–13. https://doi.org/10.1016/j.apsusc.2003.11.007.
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2006 | Journal Article | LibreCat-ID: 16671
Sertl, Stefan, and Michael Dellnitz. “Global Optimization Using a Dynamical Systems Approach.” Journal of Global Optimization, 2006, 569–87. https://doi.org/10.1007/s10898-005-4384-5.
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2017 | Conference Paper | LibreCat-ID: 8752
Peitz, Sebastian, and Michael Dellnitz. “Gradient-Based Multiobjective Optimization with Uncertainties.” In NEO 2016, 159–82. Cham, 2017. https://doi.org/10.1007/978-3-319-64063-1_7.
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2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz, Michael, Mirko Hessel-von Molo, Philipp Metzner, Robert Preis, and Christof Schütte. “Graph Algorithms for Dynamical Systems.” In Analysis, Modeling and Simulation of Multiscale Problems, 2006. https://doi.org/10.1007/3-540-35657-6_23.
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2012 | Journal Article | LibreCat-ID: 16659
Ringkamp, Maik, Sina Ober-Blöbaum, Michael Dellnitz, and Oliver Schütze. “Handling High-Dimensional Problems with Multi-Objective Continuation Methods via Successive Approximation of the Tangent Space.” Engineering Optimization, 2012, 1117–46. https://doi.org/10.1080/0305215x.2011.634407.
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