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228 Publications
1998 | Journal Article | LibreCat-ID: 16536
An adaptive subdivision technique for the approximation of attractors and invariant measures
M. Dellnitz, O. Junge, Computing and Visualization in Science (1998) 63–68.
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| DOI
M. Dellnitz, O. Junge, Computing and Visualization in Science (1998) 63–68.
2001 | Journal Article | LibreCat-ID: 16617
An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence
O. Junge, Dynamical Systems (2001) 213–222.
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| DOI
O. Junge, Dynamical Systems (2001) 213–222.
2011 | Journal Article | LibreCat-ID: 16624
An efficient algorithm for the parallel solution of high-dimensional differential equations
S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.
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| DOI
S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.
2021 | Journal Article | LibreCat-ID: 16867 | 
An efficient descent method for locally Lipschitz multiobjective optimization problems
B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
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| DOI
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B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
2013 | Conference Paper | LibreCat-ID: 17048
Analysis of team and player performance using recorded trajectory data
R. Timmermann, M. Dellnitz, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
LibreCat
R. Timmermann, M. Dellnitz, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
2018 | Preprint | LibreCat-ID: 16293 |
Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions
S. Klus, S. Peitz, I. Schuster, ArXiv:1805.10118 (2018).
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S. Klus, S. Peitz, I. Schuster, ArXiv:1805.10118 (2018).
2007 | Book Chapter | LibreCat-ID: 16658
Approximation Algorithms for Multilevel Graph Partitioning
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
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| DOI
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
2013 | Journal Article | LibreCat-ID: 16583
Asynchronous variational Lie group integration for geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, PAMM (2013) 45–46.
LibreCat
| DOI
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, PAMM (2013) 45–46.
2019 | Journal Article | LibreCat-ID: 21944
Coarse-graining molecular systems by spectral matching
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
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| DOI
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
1994 | Journal Article | LibreCat-ID: 17014
Collisions of chaotic attractors
M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg (1994) 411–428.
LibreCat
M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg (1994) 411–428.
2022 | Dissertation | LibreCat-ID: 31556 |
Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization
B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
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| DOI
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B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
1999 | Book Chapter | LibreCat-ID: 16584
Computation of Essential Molecular Dynamics by Subdivision Techniques
P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.
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| DOI
P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.
2009 | Journal Article | LibreCat-ID: 16545
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
LibreCat
| DOI
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
2003 | Journal Article | LibreCat-ID: 16498
Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
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| DOI
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
1992 | Journal Article | LibreCat-ID: 17012
Computational bifurcation of periodic solutions in systems with symmetry
M. Dellnitz, IMA Journal of Numerical Analysis 12 (1992) 429–455.
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| DOI
M. Dellnitz, IMA Journal of Numerical Analysis 12 (1992) 429–455.
1989 | Journal Article | LibreCat-ID: 16682
Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points
M. Dellnitz, B. Werner, Journal of Computational and Applied Mathematics (1989) 97–123.
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| DOI
M. Dellnitz, B. Werner, Journal of Computational and Applied Mathematics (1989) 97–123.
2013 | Journal Article | LibreCat-ID: 16608
Computing time investigations for variational multirate integration
T. Gail, S. Leyendecker, S. Ober-Blöbaum, PAMM (2013) 43–44.
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| DOI
T. Gail, S. Leyendecker, S. Ober-Blöbaum, PAMM (2013) 43–44.
2003 | Book Chapter | LibreCat-ID: 16543
Congestion and Almost Invariant Sets in Dynamical Systems
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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| DOI
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
2010 | Book Chapter | LibreCat-ID: 16575
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem
M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.
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| DOI
M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.
2019 | Journal Article | LibreCat-ID: 16709
Continuous relaxations for the traveling salesman problem
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
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| DOI
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
2014 | Journal Article | LibreCat-ID: 16597
Control strategies on stable manifolds for energy-efficient swing-ups of double pendula
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control (2014) 1886–1905.
LibreCat
| DOI
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control (2014) 1886–1905.
2018 | Preprint | LibreCat-ID: 16292 |
Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data
S. Peitz, ArXiv:1801.06419 (2018).
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S. Peitz, ArXiv:1801.06419 (2018).
2008 | Journal Article | LibreCat-ID: 16668
Convergence of stochastic search algorithms to finite size pareto set approximations
O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
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| DOI
O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
2003 | Book Chapter | LibreCat-ID: 16665
Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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| DOI
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
2005 | Journal Article | LibreCat-ID: 16684
Covering Pareto Sets by Multilevel Subdivision Techniques
M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.
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| DOI
M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.
1995 | Journal Article | LibreCat-ID: 16550
Cycling Chaos
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal of Bifurcation and Chaos (1995) 1243–1247.
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| DOI
M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal of Bifurcation and Chaos (1995) 1243–1247.
2020 | Journal Article | LibreCat-ID: 16288
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
LibreCat
| DOI
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
2020 | Journal Article | LibreCat-ID: 16309
Data-Driven Model Predictive Control using Interpolated Koopman Generators
S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
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S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
2018 | Journal Article | LibreCat-ID: 21941
Data-Driven Model Reduction and Transfer Operator Approximation
S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Journal of Nonlinear Science (2018) 985–1010.
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| DOI
S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Journal of Nonlinear Science (2018) 985–1010.
2020 | Journal Article | LibreCat-ID: 16290 |
Deep model predictive flow control with limited sensor data and online learning
K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
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K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
2021 | Journal Article | LibreCat-ID: 21337 |
Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models
M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
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M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
2005 | Conference Paper | LibreCat-ID: 16631
Design and implementation of a hybrid energy supply system for railway vehicles
R. Li, A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, R. Feldmann, in: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005.
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| DOI
R. Li, A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, R. Feldmann, in: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005.
2009 | Journal Article | LibreCat-ID: 16669
Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
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| DOI
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
2003 | Journal Article | LibreCat-ID: 16600
Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
LibreCat
| DOI
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
2010 | Conference Paper | LibreCat-ID: 16675
Detecting Initial Guesses for Trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
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| DOI
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
1993 | Journal Article | LibreCat-ID: 16518
Detecting the symmetry of attractors
E. Barany, M. Dellnitz, M. Golubitsky, Physica D: Nonlinear Phenomena (1993) 66–87.
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| DOI
E. Barany, M. Dellnitz, M. Golubitsky, Physica D: Nonlinear Phenomena (1993) 66–87.
2007 | Journal Article | LibreCat-ID: 16602
Detection of Coherent Oceanic Structures via Transfer Operators
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
LibreCat
| DOI
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
2002 | Journal Article | LibreCat-ID: 16586
Diffusion Schemes for Load Balancing on Heterogeneous Networks
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
LibreCat
| DOI
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
2012 | Journal Article | LibreCat-ID: 16635
Discontinuity Induced Bifurcations in Timed Continuous Petri Nets
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
LibreCat
| DOI
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
2007 | Conference Paper | LibreCat-ID: 16630
Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
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| DOI
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
2015 | Journal Article | LibreCat-ID: 16582
Discrete variational Lie group formulation of geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, Y. Weinand, Numerische Mathematik (2015) 73–123.
LibreCat
| DOI
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, Y. Weinand, Numerische Mathematik (2015) 73–123.
2013 | Conference Paper | LibreCat-ID: 16672
Discrete-time model of an IPMSM based on variational integrators
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, J. Bocker, in: 2013 International Electric Machines & Drives Conference, 2013.
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| DOI
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, J. Bocker, in: 2013 International Electric Machines & Drives Conference, 2013.
2013 | Conference Paper | LibreCat-ID: 16594
Discretized switching time optimization problems
K. Flasskamp, T. Murphey, S. Ober-Blobaum, in: 2013 European Control Conference (ECC), 2013.
LibreCat
| DOI
K. Flasskamp, T. Murphey, S. Ober-Blobaum, in: 2013 European Control Conference (ECC), 2013.
2008 | Conference Paper | LibreCat-ID: 16623
Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
LibreCat
| DOI
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
2023 | Journal Article | LibreCat-ID: 21600
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
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| DOI
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| arXiv
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
2022 | Book Chapter | LibreCat-ID: 30294
Efficient Virtual Design and Testing of Autonomous Vehicles
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
LibreCat
| DOI
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
1994 | Book Chapter | LibreCat-ID: 16544
Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom
M. Dellnitz, J. Scheurle, in: Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
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| DOI
M. Dellnitz, J. Scheurle, in: Dynamics, Bifurcation and Symmetry, Dordrecht, 1994.
2021 | Journal Article | LibreCat-ID: 21195
Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults
C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
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| DOI
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C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
2012 | Conference Paper | LibreCat-ID: 16589
Energy efficient control for mechanical systems based on inherent dynamical structures
K. Flaskamp, S. Ober-Blobaum, in: 2012 American Control Conference (ACC), 2012.
LibreCat
| DOI
K. Flaskamp, S. Ober-Blobaum, in: 2012 American Control Conference (ACC), 2012.
2006 | Conference Paper | LibreCat-ID: 16626
Energy Management for an Onboard Storage System Based on Multi-Objective Optimization
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
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| DOI
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
2009 | Conference Paper | LibreCat-ID: 16663
Energy transfer via linear doubly-fed motor in different operating modes
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
LibreCat
| DOI
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
2020 | Journal Article | LibreCat-ID: 16297
Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
LibreCat
| DOI
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
2021 | Journal Article | LibreCat-ID: 16294 |
Explicit multiobjective model predictive control for nonlinear systems with symmetries
S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
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| DOI
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S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
1997 | Journal Article | LibreCat-ID: 16552
Exploring invariant sets and invariant measures
M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf, Chaos: An Interdisciplinary Journal of Nonlinear Science (1997) 221–228.
LibreCat
| DOI
M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf, Chaos: An Interdisciplinary Journal of Nonlinear Science (1997) 221–228.
2001 | Book Chapter | LibreCat-ID: 16598
Extracting Dynamical Behavior via Markov Models
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
LibreCat
| DOI
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
2023 | Preprint | LibreCat-ID: 32447 |
Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
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| Download (ext.)
| arXiv
K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
2024 | Journal Article | LibreCat-ID: 46019 |
Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems
K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
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| DOI
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K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
2020 | Book Chapter | LibreCat-ID: 16289
Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
LibreCat
| DOI
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
2002 | Journal Article | LibreCat-ID: 16556
Finding zeros by multilevel subdivision techniques
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
LibreCat
| DOI
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
2019 | Conference Paper | LibreCat-ID: 10597
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
LibreCat
| DOI
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
2023 | Journal Article | LibreCat-ID: 23428 |
Finite-data error bounds for Koopman-based prediction and control
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
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| DOI
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F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
1992 | Journal Article | LibreCat-ID: 16548
Generic bifurcation of Hamiltonian vector fields with symmetry
M. Dellnitz, I. Melbourne, J.E. Marsden, Nonlinearity (1992) 979–996.
LibreCat
| DOI
M. Dellnitz, I. Melbourne, J.E. Marsden, Nonlinearity (1992) 979–996.
1992 | Book Chapter | LibreCat-ID: 16547
Generic Bifurcations of Pendula
M. Dellnitz, J.E. Marsden, I. Melbourne, J. Scheurle, in: Bifurcation and Symmetry, Basel, 1992.
LibreCat
| DOI
M. Dellnitz, J.E. Marsden, I. Melbourne, J. Scheurle, in: Bifurcation and Symmetry, Basel, 1992.
1994 | Journal Article | LibreCat-ID: 16541
Generic movement of eigenvalues for equivariant self-adjoint matrices
M. Dellnitz, I. Melbourne, Journal of Computational and Applied Mathematics (1994) 249–259.
LibreCat
| DOI
M. Dellnitz, I. Melbourne, Journal of Computational and Applied Mathematics (1994) 249–259.
2007 | Journal Article | LibreCat-ID: 16612
Global Optimal Control of Perturbed Systems
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
LibreCat
| DOI
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
2004 | Journal Article | LibreCat-ID: 16500
Global optimization of silicon nanoclusters
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
LibreCat
| DOI
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
2006 | Journal Article | LibreCat-ID: 16671
Global Optimization using a Dynamical Systems Approach
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
LibreCat
| DOI
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
2017 | Conference Paper | LibreCat-ID: 8752
Gradient-Based Multiobjective Optimization with Uncertainties
S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.
LibreCat
| DOI
S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.
2006 | Book Chapter | LibreCat-ID: 16559
Graph Algorithms for Dynamical Systems
M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
LibreCat
| DOI
M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
2012 | Journal Article | LibreCat-ID: 16659
Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization (2012) 1117–1146.
LibreCat
| DOI
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization (2012) 1117–1146.
2024 | Journal Article | LibreCat-ID: 52726 |
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
LibreCat
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| DOI
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| arXiv
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
2015 | Journal Article | LibreCat-ID: 17041
High order variational integrators in the optimal control of mechanical systems
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete & Continuous Dynamical Systems - A 35 (2015) 4193–4223.
LibreCat
| DOI
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete & Continuous Dynamical Systems - A 35 (2015) 4193–4223.
2023 | Preprint | LibreCat-ID: 49371
Higher order interactions lead to "reluctant" synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
LibreCat
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
2008 | Journal Article | LibreCat-ID: 16667
Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems
O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
LibreCat
| DOI
O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
2018 | Journal Article | LibreCat-ID: 16713
Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics
C. Gölz, C. Voelcker-Rehage, K. Mora, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger, S. Vieluf, Frontiers in Physiology (2018).
LibreCat
| DOI
C. Gölz, C. Voelcker-Rehage, K. Mora, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger, S. Vieluf, Frontiers in Physiology (2018).
2012 | Journal Article | LibreCat-ID: 16696
Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario
A. Zanzottera, G. Mingotti, R. Castelli, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2012) 832–843.
LibreCat
| DOI
A. Zanzottera, G. Mingotti, R. Castelli, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2012) 832–843.
2021 | Journal Article | LibreCat-ID: 16295 |
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
LibreCat
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B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
2020 | Journal Article | LibreCat-ID: 21819 |
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
LibreCat
| DOI
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S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
2022 | Journal Article | LibreCat-ID: 29673 |
Koopman analysis of quantum systems
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
LibreCat
| DOI
| Download (ext.)
| arXiv
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
2018 | Preprint | LibreCat-ID: 21634 |
Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
LibreCat
| Download (ext.)
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
2019 | Journal Article | LibreCat-ID: 10593
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
LibreCat
| DOI
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
2007 | Journal Article | LibreCat-ID: 16648
Lagrangian structures and transport in turbulent magnetized plasmas
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
LibreCat
| DOI
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
2009 | Journal Article | LibreCat-ID: 16649
Local expansion concepts for detecting transport barriers in dynamical systems
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
LibreCat
| DOI
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
2013 | Book Chapter | LibreCat-ID: 16599
Markov modelling for random dynamical systems
G. Froyland, in: Equadiff 99, 2013.
LibreCat
| DOI
G. Froyland, in: Equadiff 99, 2013.
2017 | Journal Article | LibreCat-ID: 21938
Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias
F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, F. Noé, The Journal of Chemical Physics (2017).
LibreCat
| DOI
F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, F. Noé, The Journal of Chemical Physics (2017).
1992 | Book Chapter | LibreCat-ID: 16546
Mechanisms of Symmetry Creation
M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry, Basel, 1992.
LibreCat
| DOI
M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry, Basel, 1992.
2014 | Book Chapter | LibreCat-ID: 16679
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
LibreCat
| DOI
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
2012 | Book Chapter | LibreCat-ID: 16576
Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat
| DOI
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
2012 | Book Chapter | LibreCat-ID: 17035
Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat
| DOI
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
2006 | Conference Paper | LibreCat-ID: 16528
Multi-Objective Optimization in Self-Optimizing Systems
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
LibreCat
| DOI
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
2009 | Conference Paper | LibreCat-ID: 16695
Multi-objective shape optimization for piezoceramics
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
LibreCat
| DOI
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
2022 | Preprint | LibreCat-ID: 33150 |
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
LibreCat
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| arXiv
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
2012 | Book Chapter | LibreCat-ID: 16681
Multilevel Subdivision Techniques for Scalar Optimization Problems
M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
LibreCat
| DOI
M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
2016 | Conference Paper | LibreCat-ID: 8759
Multiobjective Model Predictive Control of an Industrial Laundry
S. Peitz, M. Gräler, C. Henke, M.H. Molo, M. Dellnitz, A. Trächtler, in: Procedia Technology, 2016, pp. 483–490.
LibreCat
| DOI
S. Peitz, M. Gräler, C. Henke, M.H. Molo, M. Dellnitz, A. Trächtler, in: Procedia Technology, 2016, pp. 483–490.
2016 | Conference Paper | LibreCat-ID: 34
Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI, Springer International Publishing, Cham, 2016, pp. 633–641.
LibreCat
| DOI
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI, Springer International Publishing, Cham, 2016, pp. 633–641.
2016 | Book Chapter | LibreCat-ID: 16579
Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Mathematics in Industry, Cham, 2016.
LibreCat
| DOI
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Mathematics in Industry, Cham, 2016.
2018 | Journal Article | LibreCat-ID: 8753
Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.
LibreCat
| DOI
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.
2015 | Journal Article | LibreCat-ID: 16642
Multiobjective optimal control of fluid mixing
S. Ober-Blöbaum, K. Padberg-Gehle, PAMM (2015) 639–640.
LibreCat
| DOI
S. Ober-Blöbaum, K. Padberg-Gehle, PAMM (2015) 639–640.
2009 | Conference Paper | LibreCat-ID: 16524
Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
LibreCat
| DOI
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.