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228 Publications
2024 | Journal Article | LibreCat-ID: 52726 | 
Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks. 2024;12(2). doi:10.1093/comnet/cnae009
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| arXiv
2015 | Journal Article | LibreCat-ID: 17041
Campos CM, Ober-Blöbaum S, Trélat E. High order variational integrators in the optimal control of mechanical systems. Discrete & Continuous Dynamical Systems - A. 2015;35(9):4193-4223. doi:10.3934/dcds.2015.35.4193
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| DOI
2008 | Journal Article | LibreCat-ID: 16667
Schütze O, Coello Coello CA, Mostaghim S, Talbi E-G, Dellnitz M. Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems. Engineering Optimization. 2008:383-402. doi:10.1080/03052150701821328
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| DOI
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075
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| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 16713
Gölz C, Voelcker-Rehage C, Mora K, et al. Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology. 2018. doi:10.3389/fphys.2018.01540
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| DOI
2012 | Journal Article | LibreCat-ID: 16696
Zanzottera A, Mingotti G, Castelli R, Dellnitz M. Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario. Communications in Nonlinear Science and Numerical Simulation. 2012:832-843. doi:10.1016/j.cnsns.2011.06.032
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| DOI
2021 | Journal Article | LibreCat-ID: 16295 |
Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2021;80:3-29. doi:10.1007/s10898-020-00983-z
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2020 | Journal Article | LibreCat-ID: 21819 |
Klus S, Nüske F, Hamzi B. Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy. 2020. doi:10.3390/e22070722
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2022 | Journal Article | LibreCat-ID: 29673 |
Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22
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| arXiv
2018 | Preprint | LibreCat-ID: 21634 |
Hanke S, Peitz S, Wallscheid O, Klus S, Böcker J, Dellnitz M. Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives. arXiv:180400854. 2018.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz S, Klus S. Koopman operator-based model reduction for switched-system control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016
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2007 | Journal Article | LibreCat-ID: 16648
Padberg K, Hauff T, Jenko F, Junge O. Lagrangian structures and transport in turbulent magnetized plasmas. New Journal of Physics. 2007:400-400. doi:10.1088/1367-2630/9/11/400
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2009 | Journal Article | LibreCat-ID: 16649
Padberg K, Thiere B, Preis R, Dellnitz M. Local expansion concepts for detecting transport barriers in dynamical systems. Communications in Nonlinear Science and Numerical Simulation. 2009:4176-4190. doi:10.1016/j.cnsns.2009.03.018
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2013 | Book Chapter | LibreCat-ID: 16599
Froyland G. Markov modelling for random dynamical systems. In: Equadiff 99. ; 2013. doi:10.1142/9789812792617_0200
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2017 | Journal Article | LibreCat-ID: 21938
Nüske F, Wu H, Prinz J-H, Wehmeyer C, Clementi C, Noé F. Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. The Journal of Chemical Physics. 2017. doi:10.1063/1.4976518
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| DOI
1992 | Book Chapter | LibreCat-ID: 16546
Dellnitz M, Golubitsky M, Melbourne I. Mechanisms of Symmetry Creation. In: Bifurcation and Symmetry. Basel; 1992. doi:10.1007/978-3-0348-7536-3_9
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2014 | Book Chapter | LibreCat-ID: 16679
Anacker H, Dellnitz M, Flaßkamp K, et al. Methods for the Design and Development. In: Lecture Notes in Mechanical Engineering. Berlin, Heidelberg; 2014. doi:10.1007/978-3-642-45435-6_5
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz M, Dignath F, Flaßkamp K, et al. Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In: Mathematics in Industry. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-25100-9_14
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| DOI
2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz M, Dignath F, Flaßkamp K, et al. Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In: Mathematics in Industry. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-25100-9_14
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| DOI
2006 | Conference Paper | LibreCat-ID: 16528
Dell’Aere A. Multi-Objective Optimization in Self-Optimizing Systems. In: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. ; 2006. doi:10.1109/iecon.2006.348080
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| DOI
2009 | Conference Paper | LibreCat-ID: 16695
Wang F, Dellnitz M. Multi-objective shape optimization for piezoceramics. In: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications. ; 2009. doi:10.1109/spawda.2008.4775823
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| DOI
2022 | Preprint | LibreCat-ID: 33150 |
Berkemeier MB, Peitz S. Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. arXiv:220812094. Published online 2022.
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2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz M, Schütze O. Multilevel Subdivision Techniques for Scalar Optimization Problems. In: Global Analysis of Nonlinear Dynamics. New York, NY; 2012. doi:10.1007/978-1-4614-3128-2_10
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| DOI
2016 | Conference Paper | LibreCat-ID: 8759
Peitz S, Gräler M, Henke C, Molo MH, Dellnitz M, Trächtler A. Multiobjective Model Predictive Control of an Industrial Laundry. In: Procedia Technology. ; 2016:483-490. doi:10.1016/j.protcy.2016.08.061
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| DOI
2016 | Conference Paper | LibreCat-ID: 34
Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In: Progress in Industrial Mathematics at ECMI. Vol 22. Mathematics in Industry. Cham: Springer International Publishing; 2016:633-641. doi:10.1007/978-3-319-23413-7_87
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| DOI
2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In: Mathematics in Industry. Cham; 2016. doi:10.1007/978-3-319-23413-7_87
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| DOI
2018 | Journal Article | LibreCat-ID: 8753
Peitz S, Ober-Blöbaum S, Dellnitz M. Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae. 2018;161(1):171–199. doi:10.1007/s10440-018-0209-7
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| DOI
2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum S, Padberg-Gehle K. Multiobjective optimal control of fluid mixing. PAMM. 2015:639-640. doi:10.1002/pamm.201510309
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| DOI
2009 | Conference Paper | LibreCat-ID: 16524
Blesken M, Ruckert U, Steenken D, Witting K, Dellnitz M. Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques. In: 2009 NORCHIP. ; 2009. doi:10.1109/norchp.2009.5397800
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| DOI
2008 | Journal Article | LibreCat-ID: 16610
Geisler MSJ, Witting D-MK, Trächtler A, Dellnitz M. Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle. IFAC Proceedings Volumes. 2008:4380-4386. doi:10.3182/20080706-5-kr-1001.00738
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| DOI
2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023.
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| arXiv
2015 | Journal Article | LibreCat-ID: 1774
Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. PAMM. 2015;15(1):613-614. doi:10.1002/pamm.201510296
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| DOI
2015 | Conference Paper | LibreCat-ID: 8760
Peitz S, Dellnitz M. Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In: PAMM. ; 2015:613-614. doi:10.1002/pamm.201510296
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| DOI
2004 | Journal Article | LibreCat-ID: 16521
Bezrukov S, Elsässer R, Monien B, Preis R, Tillich J-P. New spectral lower bounds on the bisection width of graphs. Theoretical Computer Science. 2004:155-174. doi:10.1016/j.tcs.2004.03.059
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| DOI
2012 | Book Chapter | LibreCat-ID: 16516
Baier R, Molo MH. Newton’s Method and Secant Method for Set-Valued Mappings. In: Large-Scale Scientific Computing. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-29843-1_9
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| DOI
1993 | Journal Article | LibreCat-ID: 16633
Melbourne I, Dellnitz M. Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group. Mathematical Proceedings of the Cambridge Philosophical Society. 1993:235-268. doi:10.1017/s0305004100071577
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| DOI
2006 | Journal Article | LibreCat-ID: 16560
Dellnitz M, Junge O, Post M, Thiere B. On target for Venus – set oriented computation of energy efficient low thrust trajectories. Celestial Mechanics and Dynamical Astronomy. 2006:357-370. doi:10.1007/s10569-006-9008-y
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| DOI
1999 | Journal Article | LibreCat-ID: 16537
Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior. SIAM Journal on Numerical Analysis. 1999:491-515. doi:10.1137/s0036142996313002
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| DOI
2009 | Journal Article | LibreCat-ID: 16572
Dellnitz M, Froyland G, Horenkamp C, Padberg K. On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen. 2009:47-60. doi:10.1002/gamm.200910004
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| DOI
2016 | Journal Article | LibreCat-ID: 16580
Ziessler A, Molo MH-V, Dellnitz M. On the computation of attractors for delay differential equations. Journal of Computational Dynamics. 2016:5-5. doi:10.3934/jcd.2016005
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| DOI
2023 | Preprint | LibreCat-ID: 44840
Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies. arXiv:230506632.
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| arXiv
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
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2019 | Journal Article | LibreCat-ID: 10595
Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
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| DOI
2000 | Journal Article | LibreCat-ID: 16554
Dellnitz M, Froyland G, Sertl S. On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity. 2000:1171-1188. doi:10.1088/0951-7715/13/4/310
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| DOI
2014 | Conference Paper | LibreCat-ID: 17045
Gail T, Leyendecker S, Ober-Blöbaum S. On the role of quadrature rules and system dimensions in variational multirateintegrators. In: The 3rdJoint International Conference on Multibody System Dynamics. ; 2014.
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2023 | Journal Article | LibreCat-ID: 27426 |
Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741. doi:10.1007/s10898-022-01223-2
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2022 | Journal Article | LibreCat-ID: 20731 |
Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962
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2023 | Journal Article | LibreCat-ID: 21199 |
Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to Control Systems. Automatica. 2023;149. doi:10.1016/j.automatica.2022.110840
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2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp K, Ober-Blobaum S, Schneider T, Bocker J. Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. In: 52nd IEEE Conference on Decision and Control. ; 2014. doi:10.1109/cdc.2013.6761075
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| DOI
2012 | Journal Article | LibreCat-ID: 16593
Flaßkamp K, Timmermann J, Ober-Blöbaum S, Dellnitz M, Trächtler A. Optimal Control on Stable Manifolds for a Double Pendulum. PAMM. 2012:723-724. doi:10.1002/pamm.201210350
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| DOI
2004 | Journal Article | LibreCat-ID: 16587
Elsässer R, Monien B, Preis R, Frommer A. Optimal Diffusion Schemes and Load Balancing on Product Graphs. Parallel Processing Letters. 2004:61-73. doi:10.1142/s0129626404001714
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| DOI
2009 | Conference Paper | LibreCat-ID: 16661
Romaus C, Bocker J, Witting K, Seifried A, Znamenshchykov O. Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors. In: 2009 IEEE Energy Conversion Congress and Exposition. ; 2009. doi:10.1109/ecce.2009.5316428
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| DOI
2006 | Conference Paper | LibreCat-ID: 16618
Junge O, Ober-Blobaum S. Optimal Reconfiguration of Formation Flying Satellites. In: Proceedings of the 44th IEEE Conference on Decision and Control. ; 2006. doi:10.1109/cdc.2005.1582132
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| DOI
2006 | Conference Paper | LibreCat-ID: 16621
Junge O, Marsden JE, Ober-Blobaum S. Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach. In: Proceedings of the 45th IEEE Conference on Decision and Control. ; 2006. doi:10.1109/cdc.2006.376977
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| DOI
2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp K, Murphey T, Ober-Blöbaum S. Optimization for discretized switched systems. PAMM. 2013:401-402. doi:10.1002/pamm.201310196
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| DOI
2011 | Journal Article | LibreCat-ID: 16629
Krüger M, Witting K, Trächtler A, Dellnitz M. Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. IFAC Proceedings Volumes. 2011:12611-12619. doi:10.3182/20110828-6-it-1002.02487
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| DOI
2020 | Journal Article | LibreCat-ID: 10596
Schütze O, Cuate O, Martín A, Peitz S, Dellnitz M. Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization. 2020;52(5):832-855. doi:10.1080/0305215x.2019.1617286
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| DOI
2015 | Conference Paper | LibreCat-ID: 16622
Keuck L, Frohleke N, Bocker J, Ziessler A. PFC-control for improved inductor utilization. In: 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe). ; 2015. doi:10.1109/epe.2015.7309373
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| DOI
2018 | Conference Paper | LibreCat-ID: 8757
Beermann D, Dellnitz M, Peitz S, Volkwein S. POD-based multiobjective optimal control of PDEs with non-smooth objectives. In: PAMM. ; 2018:51-54. doi:10.1002/pamm.201710015
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| DOI
2018 | Journal Article | LibreCat-ID: 21943
Hruska E, Abella JR, Nüske F, Kavraki LE, Clementi C. Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics. 2018. doi:10.1063/1.5053582
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| DOI
2018 | Journal Article | LibreCat-ID: 21940
Litzinger F, Boninsegna L, Wu H, et al. Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation. 2018:2771-2783. doi:10.1021/acs.jctc.8b00089
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| DOI
2015 | Journal Article | LibreCat-ID: 16660
Ringkamp M, Ober-Blöbaum S, Leyendecker S. Relaxing mixed integer optimal control problems using a time transformation. PAMM. 2015:27-30. doi:10.1002/pamm.201510008
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| DOI
2006 | Journal Article | LibreCat-ID: 16674
Thiere B. Return Time Dynamics as a Tool for Finding Almost Invariant Sets. Annals of the New York Academy of Sciences. 2006:44-54. doi:10.1196/annals.1370.027
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| DOI
2019 | Preprint | LibreCat-ID: 16711 |
Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems. arXiv:190208824. Published online 2019.
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2001 | Journal Article | LibreCat-ID: 16601
Froyland G, Junge O, Ochs G. Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena. 2001:68-84. doi:10.1016/s0167-2789(01)00216-0
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| DOI
2000 | Book Chapter | LibreCat-ID: 16616
Junge O. Rigorous discretization of subdivision techniques. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0178
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| DOI
2022 | Book Chapter | LibreCat-ID: 16296 |
Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer R, Schnittker R, Timmermann R, Zorn R, Rückert U, Baumeister J. Running performance analysis in basketball using recorded trajectory data. In: Performance Analysis of Sport IX, Part 8, Routledge. ; 2013.
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2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy A, Preis R. Satellite Formation, a Mobile Sensor Network in Space. In: 19th IEEE International Parallel and Distributed Processing Symposium. ; 2005. doi:10.1109/ipdps.2005.387
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| DOI
2009 | Journal Article | LibreCat-ID: 16573
Dellnitz M, Froyland G, Horenkamp C, Padberg-Gehle K, Sen Gupta A. Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics. 2009:655-663. doi:10.5194/npg-16-655-2009
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| DOI
2008 | Conference Paper | LibreCat-ID: 17031
Geisler J, Witting K, Trächtler A, Dellnitz M. Self-Optimization of the Guidance Module of a Rail-bound Vehicle. In: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future. ; 2008.
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2017 | Journal Article | LibreCat-ID: 16540
Dellnitz M, Klus S. Sensing and control in symmetric networks. Dynamical Systems. 2017:61-79. doi:10.1080/14689367.2016.1215410
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| DOI
2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz M, Padberg K, Post M, Thiere B. Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems. In: AIP Conference Proceedings. ; 2007. doi:10.1063/1.2710046
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| DOI
2013 | Book Chapter | LibreCat-ID: 16670
Schütze O, Witting K, Ober-Blöbaum S, Dellnitz M. Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems. In: EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Berlin, Heidelberg; 2013. doi:10.1007/978-3-642-32726-1_5
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| DOI
2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz M, Junge O. Set Oriented Numerical Methods for Dynamical Systems. In: Handbook of Dynamical Systems. ; 2002. doi:10.1016/s1874-575x(02)80026-1
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| DOI
2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz M, Junge O. Set Oriented Numerical Methods in Space Mission Design. In: Elsevier Astrodynamics Series. ; 2006. doi:10.1016/s1874-9305(07)80007-0
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| DOI
2018 | Book Chapter | LibreCat-ID: 8754
Beermann D, Dellnitz M, Peitz S, Volkwein S. Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In: Reduced-Order Modeling (ROM) for Simulation and Optimization. Cham; 2018:47-72. doi:10.1007/978-3-319-75319-5_3
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| DOI
2012 | Journal Article | LibreCat-ID: 16592
Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures. Journal of Nonlinear Science. 2012:599-629. doi:10.1007/s00332-012-9140-7
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| DOI
2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving optimal control problems by using inherent dynamical properties. PAMM. 2010:577-578. doi:10.1002/pamm.201010281
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| DOI
2010 | Journal Article | LibreCat-ID: 16673
Tantardini M, Fantino E, Ren Y, Pergola P, Gómez G, Masdemont JJ. Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem. Celestial Mechanics and Dynamical Astronomy. 2010:215-232. doi:10.1007/s10569-010-9299-x
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| DOI
2018 | Journal Article | LibreCat-ID: 21942
Boninsegna L, Nüske F, Clementi C. Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics. 2018. doi:10.1063/1.5018409
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| DOI
2021 | Journal Article | LibreCat-ID: 21820 |
Nüske F, Koltai P, Boninsegna L, Clementi C. Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. 2021. doi:10.3390/e23020134
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2007 | Report | LibreCat-ID: 17028
Vasile M, Schütze O, Junge O, Radice G, Dellnitz M. Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency; 2007.
LibreCat
1995 | Journal Article | LibreCat-ID: 16551
Dellnitz M, Golubitsky M, Hohmann A, Stewart I. Spirals in Scalar Reaction–Diffusion Equations. International Journal of Bifurcation and Chaos. 1995:1487-1501. doi:10.1142/s0218127495001149
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| DOI
2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser S, Dellnitz M. Stabilization via symmetry switching in hybrid dynamical systems. Discrete & Continuous Dynamical Systems - B. 2011;16(1):239-263. doi:10.3934/dcdsb.2011.16.239
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| DOI
2012 | Conference Paper | LibreCat-ID: 16591
Flasskamp K, Murphey T, Ober-Blobaum S. Switching time optimization in discretized hybrid dynamical systems. In: 2012 IEEE 51st IEEE Conference on Decision and Control (CDC). ; 2012. doi:10.1109/cdc.2012.6426414
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| DOI
2021 | Journal Article | LibreCat-ID: 24170
Klus S, Gelß P, Nüske F, Noé F. Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology. Published online 2021. doi:10.1088/2632-2153/ac14ad
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| DOI
2009 | Journal Article | LibreCat-ID: 16636
Meyer A, Dellnitz M. Symmetries in Timed Continuous Petri Nets. IFAC Proceedings Volumes. 2009:68-73. doi:10.3182/20090916-3-es-3003.00013
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 16639
Meyer A, Dellnitz M, Hessel-von Molo M. Symmetries in timed continuous Petri nets. Nonlinear Analysis: Hybrid Systems. 2011:125-135. doi:10.1016/j.nahs.2010.05.005
LibreCat
| DOI
1995 | Journal Article | LibreCat-ID: 16510
Aston PJ, Dellnitz M. Symmetry Breaking Bifurcations of Chaotic Attractors. International Journal of Bifurcation and Chaos. 1995:1643-1676. doi:10.1142/s021812749500123x
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| DOI
2015 | Journal Article | LibreCat-ID: 17039
Flasskamp K, Hage-Packhäuser S, Ober-Blöbaum S. Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics. 2015;2(1):25-50. doi:10.3934/jcd.2015.2.25
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Cham: Springer; 2020. doi:10.1007/978-3-030-51264-4_9
LibreCat
| DOI
1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz M, Golubitsky M, Nicol M. Symmetry of Attractors and the Karhunen-Loève Decomposition. In: Trends and Perspectives in Applied Mathematics. New York, NY; 1994. doi:10.1007/978-1-4612-0859-4_4
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 16632
Mehta PG, Hessel-von Molo M, Dellnitz M. Symmetry of attractors and the Perron-Frobenius operator. Journal of Difference Equations and Applications. 2006:1147-1178. doi:10.1080/10236190601045788
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16638
Meyer A, Silva M. Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics. IFAC Proceedings Volumes. 2012:153-159. doi:10.3182/20120606-3-nl-3011.00067
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24169
Nüske F, Gelß P, Klus S, Clementi C. Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena. Published online 2021. doi:10.1016/j.physd.2021.133018
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 8755
Klus S, Gelß P, Peitz S, Schütte C. Tensor-based dynamic mode decomposition. Nonlinearity. 2018;31(7):3359-3380. doi:10.1088/1361-6544/aabc8f
LibreCat
| DOI
2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz M, Froyland G, Junge O. The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg; 2001. doi:10.1007/978-3-642-56589-2_7
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 17994
Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Vol 304. Studies in Systems, Decision and Control. Springer International Publishing; 2020:66-85. doi:10.1007/978-3-030-51264-4_3
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