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228 Publications
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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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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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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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| 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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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