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219 Publications


2017 | Dissertation | LibreCat-ID: 10594 | OA
Exploiting structure in multiobjective optimization and optimal control
S. Peitz,   Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017.
LibreCat | Files available | DOI | Download (ext.)
 

2009 | Journal Article | LibreCat-ID: 16499
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
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2016 | Conference Paper | LibreCat-ID: 8758
A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles
J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, pp. 465–472.
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2000 | Book Chapter | LibreCat-ID: 16553
A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator
M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.
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2018 | Conference Paper | LibreCat-ID: 8750
A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems
B. Gebken, S. Peitz, M. Dellnitz, in: Numerical and Evolutionary Optimization – NEO 2017, Cham, 2018.
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2007 | Conference Paper | LibreCat-ID: 16666
A Memetic PSO Algorithm for Scalar Optimization Problems
O. Schütze, E. Talbi, G.T. Pulido, C.C. Coello, L.V. Santana-Quintero, in: 2007 IEEE Swarm Intelligence Symposium, 2007.
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2009 | Journal Article | LibreCat-ID: 16574
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2009) 33–59.
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2017 | Journal Article | LibreCat-ID: 8756
A multiobjective MPC approach for autonomously driven electric vehicles
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50 (2017) 8674–8679.
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2013 | Conference Paper | LibreCat-ID: 16643
A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties
S. Ober-Blöbaum, A. Seifried, in: 2013 European Control Conference (ECC), 2013.
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2008 | Journal Article | LibreCat-ID: 16678
A new approach for online multiobjective optimization of mechatronic systems
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, N. Fröhleke, International Journal on Software Tools for Technology Transfer (2008) 223–231.
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2003 | Book Chapter | LibreCat-ID: 16664
A New Data Structure for the Nondominance Problem in Multi-objective Optimization
O. Schütze, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
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1995 | Journal Article | LibreCat-ID: 16542
A note on the shadowing lemma and symmetric periodic points
M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075.
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2004 | Journal Article | LibreCat-ID: 16527
A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems
S. Day, O. Junge, K. Mischaikow, SIAM Journal on Applied Dynamical Systems (2004) 117–160.
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2004 | Journal Article | LibreCat-ID: 16619
A set oriented approach to global optimal control
O. Junge, H.M. Osinga, ESAIM: Control, Optimisation and Calculus of Variations (2004) 259–270.
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2005 | Journal Article | LibreCat-ID: 16613
A set oriented approach to optimal feedback stabilization
L. Grüne, O. Junge, Systems & Control Letters (2005) 169–180.
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2017 | Journal Article | LibreCat-ID: 16581
A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty
M. Dellnitz, S. Klus, A. Ziessler, SIAM Journal on Applied Dynamical Systems (2017) 120–138.
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2020 | Journal Article | LibreCat-ID: 16710 | OA
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
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1997 | Journal Article | LibreCat-ID: 17015
A subdivision algorithm for the computation of unstable manifolds and global attractors
M. Dellnitz, A. Hohmann, Numerische Mathematik 75 (1997) 293–317.
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2005 | Journal Article | LibreCat-ID: 16627
A Survey of Methods for Computing (un)stable Manifolds of Vector Fields
B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (2005) 763–791.
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2018 | Journal Article | LibreCat-ID: 8751 | OA
A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction
S. Peitz, M. Dellnitz, Mathematical and Computational Applications 23 (2018).
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2013 | Journal Article | LibreCat-ID: 16677
A variational approach to define robustness for parametric multiobjective optimization problems
K. Witting, S. Ober-Blöbaum, M. Dellnitz, Journal of Global Optimization (2013) 331–345.
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2013 | Journal Article | LibreCat-ID: 21935
A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems
F. Noé, F. Nüske, Multiscale Modeling & Simulation (2013) 635–655.
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1995 | Journal Article | LibreCat-ID: 16532
Admissible symmetry increasing bifurcations
M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066.
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2018 | Journal Article | LibreCat-ID: 16714
Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control
S. Vieluf, K. Mora, C. Gölz, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger, C. Voelcker-Rehage, Neuroscience (2018) 203–213.
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1997 | Journal Article | LibreCat-ID: 16535
Almost Invariant Sets in Chua's Circuit
M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (1997) 2475–2485.
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1997 | Journal Article | LibreCat-ID: 16614
An adaptive method for the approximation of the generalized cell mapping
R. Guder, M. Dellnitz, E. Kreuzer, Chaos, Solitons & Fractals (1997) 525–534.
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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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2001 | Journal Article | LibreCat-ID: 16617 LibreCat | DOI
 

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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2021 | Journal Article | LibreCat-ID: 16867 | OA
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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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.
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2018 | Preprint | LibreCat-ID: 16293 | OA LibreCat | Download (ext.)
 

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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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.
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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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1994 | Journal Article | LibreCat-ID: 17014
Collisions of chaotic attractors
M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg (1994) 411–428.
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2022 | Dissertation | LibreCat-ID: 31556 | OA
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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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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2009 | Journal Article | LibreCat-ID: 16545
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
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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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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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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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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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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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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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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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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.
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2018 | Preprint | LibreCat-ID: 16292 | OA LibreCat | Download (ext.)
 

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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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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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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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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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).
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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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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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2020 | Journal Article | LibreCat-ID: 16290 | OA
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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2021 | Journal Article | LibreCat-ID: 21337 | OA
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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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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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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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.
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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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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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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).
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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.
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2012 | Journal Article | LibreCat-ID: 16635
Discontinuity Induced Bifurcations in Timed Continuous Petri Nets
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
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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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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.
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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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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.
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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.
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2022 | Preprint | LibreCat-ID: 21600 | OA
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 (n.d.).
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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.
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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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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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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.
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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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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.
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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.
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2021 | Journal Article | LibreCat-ID: 16294 | OA
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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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.
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2001 | Book Chapter | LibreCat-ID: 16598
Extracting Dynamical Behavior via Markov Models
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
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2022 | Preprint | LibreCat-ID: 32447 | OA LibreCat | Download (ext.) | arXiv
 

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.
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2002 | Journal Article | LibreCat-ID: 16556
Finding zeros by multilevel subdivision techniques
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
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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.
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2023 | Journal Article | LibreCat-ID: 23428 | OA
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 (n.d.).
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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.
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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.
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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.
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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.
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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.
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2006 | Journal Article | LibreCat-ID: 16671
Global Optimization using a Dynamical Systems Approach
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
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2017 | Conference Paper | LibreCat-ID: 8752
Gradient-Based Multiobjective Optimization with Uncertainties
S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.
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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.
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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.
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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.
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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.
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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).
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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.
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2021 | Journal Article | LibreCat-ID: 16295 | OA
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
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2020 | Journal Article | LibreCat-ID: 21819 | OA LibreCat | DOI | Download (ext.)
 

2022 | Journal Article | LibreCat-ID: 29673 | OA
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
 

2018 | Preprint | LibreCat-ID: 21634 | OA
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).
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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.
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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.
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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
 

2013 | Book Chapter | LibreCat-ID: 16599
Markov modelling for random dynamical systems
G. Froyland, in: Equadiff 99, 2013.
LibreCat | DOI
 

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
 

1992 | Book Chapter | LibreCat-ID: 16546
Mechanisms of Symmetry Creation
M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry, Basel, 1992.
LibreCat | DOI
 

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
 

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
 

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
 

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
 

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
 

2022 | Preprint | LibreCat-ID: 33150 | OA LibreCat | Download (ext.) | arXiv
 

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
 

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
 

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
 

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
 

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
 

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

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
 

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

2015 | Journal Article | LibreCat-ID: 1774 LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760 LibreCat | DOI
 

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

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

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

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

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

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

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

2019 | Journal Article | LibreCat-ID: 16712 | OA
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems (2019) 1–19.
LibreCat | DOI | Download (ext.)
 

2019 | Journal Article | LibreCat-ID: 10595
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
LibreCat | DOI
 

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

2014 | Conference Paper | LibreCat-ID: 17045
On the role of quadrature rules and system dimensions in variational multirateintegrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: The 3rdJoint International Conference on Multibody System Dynamics, 2014.
LibreCat
 

2022 | Journal Article | LibreCat-ID: 27426 | OA
On the structure of regularization paths for piecewise differentiable regularization terms
B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization (2022).
LibreCat | DOI | Download (ext.)
 

2022 | Journal Article | LibreCat-ID: 20731 | OA
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation
K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
LibreCat | Files available | DOI | Download (ext.)
 

2023 | Journal Article | LibreCat-ID: 21199 | OA LibreCat | DOI | Download (ext.)
 

2014 | Conference Paper | LibreCat-ID: 16596
Optimal control of a switched reluctance drive by a direct method using a discrete variational principle
K. Flasskamp, S. Ober-Blobaum, T. Schneider, J. Bocker, in: 52nd IEEE Conference on Decision and Control, 2014.
LibreCat | DOI
 

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

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

2009 | Conference Paper | LibreCat-ID: 16661
Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors
C. Romaus, J. Bocker, K. Witting, A. Seifried, O. Znamenshchykov, in: 2009 IEEE Energy Conversion Congress and Exposition, 2009.
LibreCat | DOI
 

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

2006 | Conference Paper | LibreCat-ID: 16621
Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach
O. Junge, J.E. Marsden, S. Ober-Blobaum, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
LibreCat | DOI
 

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

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

2020 | Journal Article | LibreCat-ID: 10596
Pareto Explorer: a global/local exploration tool for many-objective optimization problems
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 16622
PFC-control for improved inductor utilization
L. Keuck, N. Frohleke, J. Bocker, A. Ziessler, in: 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe), 2015.
LibreCat | DOI
 

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

2018 | Journal Article | LibreCat-ID: 21943
Quantitative comparison of adaptive sampling methods for protein dynamics
E. Hruska, J.R. Abella, F. Nüske, L.E. Kavraki, C. Clementi, The Journal of Chemical Physics (2018).
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 21940
Rapid Calculation of Molecular Kinetics Using Compressed Sensing
F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé, C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
LibreCat | DOI
 

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

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

2019 | Preprint | LibreCat-ID: 16711 | OA LibreCat | Download (ext.)
 

2001 | Journal Article | LibreCat-ID: 16601
Rigorous computation of topological entropy with respect to a finite partition
G. Froyland, O. Junge, G. Ochs, Physica D: Nonlinear Phenomena (2001) 68–84.
LibreCat | DOI
 

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

2022 | Book Chapter | LibreCat-ID: 16296 | OA
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
LibreCat | DOI | Download (ext.)
 

2013 | Conference Paper | LibreCat-ID: 17049
Running performance analysis in basketball using recorded trajectory data
R. Jakobsmeyer, R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, J. Baumeister, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
LibreCat
 

2005 | Conference Paper | LibreCat-ID: 16628
Satellite Formation, a Mobile Sensor Network in Space
A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16573
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear Processes in Geophysics (2009) 655–663.
LibreCat | DOI
 

2008 | Conference Paper | LibreCat-ID: 17031
Self-Optimization of the Guidance Module of a Rail-bound Vehicle
J. Geisler, K. Witting, A. Trächtler, M. Dellnitz, in: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
LibreCat
 

2017 | Journal Article | LibreCat-ID: 16540
Sensing and control in symmetric networks
M. Dellnitz, S. Klus, Dynamical Systems (2017) 61–79.
LibreCat | DOI
 

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

2013 | Book Chapter | LibreCat-ID: 16670
Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, in: EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation, Berlin, Heidelberg, 2013.
LibreCat | DOI
 

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

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

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

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

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

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

2018 | Journal Article | LibreCat-ID: 21942
Sparse learning of stochastic dynamical equations
L. Boninsegna, F. Nüske, C. Clementi, The Journal of Chemical Physics (2018).
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 21820 | OA
Spectral Properties of Effective Dynamics from Conditional Expectations
F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
LibreCat | DOI | Download (ext.)
 

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

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

2011 | Journal Article | LibreCat-ID: 17034
Stabilization via symmetry switching in hybrid dynamical systems
S. Hage-Packhäuser, M. Dellnitz, Discrete & Continuous Dynamical Systems - B 16 (2011) 239–263.
LibreCat | DOI
 

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

2021 | Journal Article | LibreCat-ID: 24170
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry
S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
LibreCat | DOI
 

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

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

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

2015 | Journal Article | LibreCat-ID: 17039
Symmetry exploiting control of hybrid mechanical systems
K. Flasskamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2 (2015) 25–50.
LibreCat | DOI
 

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

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

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

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

2021 | Journal Article | LibreCat-ID: 24169
Tensor-based computation of metastable and coherent sets
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8755
Tensor-based dynamic mode decomposition
S. Klus, P. Gelß, S. Peitz, C. Schütte, Nonlinearity 31 (2018) 3359–3380.
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16555
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, G. Froyland, O. Junge, in: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
LibreCat | DOI
 

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

2021 | Dissertation | LibreCat-ID: 32057 | OA
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
LibreCat | DOI | Download (ext.)
 

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

2014 | Journal Article | LibreCat-ID: 17043
The computation of convex invariant sets via Newton's method
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, I.G. Kevrekidis, Journal of Computational Dynamics 1 (2014) 39–69.
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513 LibreCat | DOI
 

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

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

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

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

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

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