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192 Publications


2017 | Dissertation | LibreCat-ID: 10594
Peitz S.   Exploiting Structure in Multiobjective Optimization and Optimal Control.; 2017. doi:10.17619/UNIPB/1-176
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2009 | Journal Article | LibreCat-ID: 16499
Biasco L, Di Gregorio L. A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis. 2009:303-362. doi:10.1007/s00205-009-0240-y
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein J, Peitz S, Schäfer K, et al. A Comparison of two Predictive Approaches to Control the Longitudinal Dynamics of Electric Vehicles. In: Procedia Technology. ; 2016:465-472. doi:10.1016/j.protcy.2016.08.059
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz M, Froyland G, Sertl S. A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0199
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken B, Peitz S, Dellnitz M. A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In: Numerical and Evolutionary Optimization – NEO 2017. Cham; 2018. doi:10.1007/978-3-319-96104-0_2
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze O, Talbi E, Pulido GT, Coello CC, Santana-Quintero LV. A Memetic PSO Algorithm for Scalar Optimization Problems. In: 2007 IEEE Swarm Intelligence Symposium. ; 2007. doi:10.1109/sis.2007.368036
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2009 | Journal Article | LibreCat-ID: 16574
Dellnitz M, Ober-Blöbaum S, Post M, Schütze O, Thiere B. A multi-objective approach to the design of low thrust space trajectories using optimal control. Celestial Mechanics and Dynamical Astronomy. 2009:33-59. doi:10.1007/s10569-009-9229-y
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2017 | Journal Article | LibreCat-ID: 8756
Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles. IFAC-PapersOnLine. 2017;50(1):8674-8679. doi:10.1016/j.ifacol.2017.08.1526
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2017 | Journal Article | LibreCat-ID: 16657
Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This research was funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (it’s OWL). IFAC-PapersOnLine. 2017:8674-8679. doi:10.1016/j.ifacol.2017.08.1526
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum S, Seifried A. A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In: 2013 European Control Conference (ECC). ; 2013. doi:10.23919/ecc.2013.6669594
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2008 | Journal Article | LibreCat-ID: 16678
Witting K, Schulz B, Dellnitz M, Böcker J, Fröhleke N. A new approach for online multiobjective optimization of mechatronic systems. International Journal on Software Tools for Technology Transfer. 2008:223-231. doi:10.1007/s10009-008-0066-1
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze O. A New Data Structure for the Nondominance Problem in Multi-objective Optimization. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-36970-8_36
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz M, Melbourne I. A note on the shadowing lemma and symmetric periodic points. Nonlinearity. 1995:1067-1075. doi:10.1088/0951-7715/8/6/010
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2004 | Journal Article | LibreCat-ID: 16527
Day S, Junge O, Mischaikow K. A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. SIAM Journal on Applied Dynamical Systems. 2004:117-160. doi:10.1137/030600210
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2004 | Journal Article | LibreCat-ID: 16619
Junge O, Osinga HM. A set oriented approach to global optimal control. ESAIM: Control, Optimisation and Calculus of Variations. 2004:259-270. doi:10.1051/cocv:2004006
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2005 | Journal Article | LibreCat-ID: 16613
Grüne L, Junge O. A set oriented approach to optimal feedback stabilization. Systems & Control Letters. 2005:169-180. doi:10.1016/j.sysconle.2004.08.005
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz M, Klus S, Ziessler A. A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. SIAM Journal on Applied Dynamical Systems. 2017:120-138. doi:10.1137/16m1072735
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach R, Ziessler A, Eckhardt B, Dellnitz M. A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems. 2020:705-723. doi:10.1137/19m1247139
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz M, Hohmann A. A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik. 1997;75:293-317. doi:10.1007/s002110050240
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2005 | Journal Article | LibreCat-ID: 16627
Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. International Journal of Bifurcation and Chaos. 2005:763-791. doi:10.1142/s0218127405012533
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2018 | Journal Article | LibreCat-ID: 8751
Peitz S, Dellnitz M. A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications. 2018;23(2). doi:10.3390/mca23020030
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2013 | Journal Article | LibreCat-ID: 16677
Witting K, Ober-Blöbaum S, Dellnitz M. A variational approach to define robustness for parametric multiobjective optimization problems. Journal of Global Optimization. 2013:331-345. doi:10.1007/s10898-012-9972-6
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz M, Heinrich C. Admissible symmetry increasing bifurcations. Nonlinearity. 1995:1039-1066. doi:10.1088/0951-7715/8/6/009
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf S, Mora K, Gölz C, et al. Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control. Neuroscience. 2018:203-213. doi:10.1016/j.neuroscience.2018.07.025
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz M, Junge O. Almost Invariant Sets in Chua’s Circuit. International Journal of Bifurcation and Chaos. 1997:2475-2485. doi:10.1142/s0218127497001655
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1997 | Journal Article | LibreCat-ID: 16614
Guder R, Dellnitz M, Kreuzer E. An adaptive method for the approximation of the generalized cell mapping. Chaos, Solitons & Fractals. 1997:525-534. doi:10.1016/s0960-0779(96)00118-x
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz M, Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures. Computing and Visualization in Science. 1998:63-68. doi:10.1007/s007910050006
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2001 | Journal Article | LibreCat-ID: 16617
Junge O. An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems. 2001:213-222. doi:10.1080/14689360109696233
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2011 | Journal Article | LibreCat-ID: 16624
Klus S, Sahai T, Liu C, Dellnitz M. An efficient algorithm for the parallel solution of high-dimensional differential equations. Journal of Computational and Applied Mathematics. 2011:3053-3062. doi:10.1016/j.cam.2010.12.026
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2021 | Journal Article | LibreCat-ID: 16867
Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications. 2021. doi:10.1007/s10957-020-01803-w
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann R, Dellnitz M. Analysis of team and player performance using recorded trajectory data. In: Performance Analysis of Sport IX, Part 8, Routledge. ; 2013.
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2018 | Preprint | LibreCat-ID: 16293
Klus S, Peitz S, Schuster I. Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions. arXiv:180510118. 2018.
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2007 | Book Chapter | LibreCat-ID: 16658
Preis R, Monien B, Schamberger S. Approximation Algorithms for Multilevel Graph Partitioning. In: Handbook of Approximation Algorithms and Metaheuristics. ; 2007. doi:10.1201/9781420010749.ch60
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2013 | Journal Article | LibreCat-ID: 16583
Demoures F, Gay-Balmaz F, Leitz T, Leyendecker S, Ober-Blöbaum S, Ratiu TS. Asynchronous variational Lie group integration for geometrically exact beam dynamics. PAMM. 2013:45-46. doi:10.1002/pamm.201310018
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz M. Collisions of chaotic attractors. Schlaglichter der Forschung: Zum 75 Jahrestag der Universität Hamburg. 1994:411-428.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular Dynamics by Subdivision Techniques. In: Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg; 1999. doi:10.1007/978-3-642-58360-5_5
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz M, Witting K. Computation of robust Pareto points. International Journal of Computing Science and Mathematics. 2009. doi:10.1504/ijcsm.2009.027876
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2003 | Journal Article | LibreCat-ID: 16498
Aston PJ, Dellnitz M. Computation of the dominant Lyapunov exponent via spatial integration using matrix norms. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences. 2003:2933-2955. doi:10.1098/rspa.2003.1143
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1992 | Journal Article | LibreCat-ID: 17012
Dellnitz M. Computational bifurcation of periodic solutions in systems with symmetry. IMA Journal of Numerical Analysis. 1992;12(3):429-455. doi:10.1093/imanum/12.3.429
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1989 | Journal Article | LibreCat-ID: 16682
Dellnitz M, Werner B. Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points. Journal of Computational and Applied Mathematics. 1989:97-123. doi:10.1016/0377-0427(89)90150-7
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2013 | Journal Article | LibreCat-ID: 16608
Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations for variational multirate integration. PAMM. 2013:43-44. doi:10.1002/pamm.201310017
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz M, Preis R. Congestion and Almost Invariant Sets in Dynamical Systems. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-45084-x_8
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2010 | Book Chapter | LibreCat-ID: 16575
Dellnitz M, Padberg K, Preis R, Thiere B. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In: Nonlinear Science and Complexity. Dordrecht; 2010. doi:10.1007/978-90-481-9884-9_12
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2019 | Journal Article | LibreCat-ID: 16709
Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5
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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp K, Timmermann J, Ober-Blöbaum S, Trächtler A. Control strategies on stable manifolds for energy-efficient swing-ups of double pendula. International Journal of Control. 2014:1886-1905. doi:10.1080/00207179.2014.893450
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2018 | Preprint | LibreCat-ID: 16292
Peitz S. Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data. arXiv:180106419. 2018.
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2008 | Journal Article | LibreCat-ID: 16668
Schütze O, Laumanns M, Coello Coello CA, Dellnitz M, Talbi E-G. Convergence of stochastic search algorithms to finite size pareto set approximations. Journal of Global Optimization. 2008:559-577. doi:10.1007/s10898-007-9265-7
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze O, Mostaghim S, Dellnitz M, Teich J. Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In: Lecture Notes in Computer Science. Berlin, Heidelberg; 2003. doi:10.1007/3-540-36970-8_9
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz M, Sch�tze O, Hestermeyer T. Covering Pareto Sets by Multilevel Subdivision Techniques. Journal of Optimization Theory and Applications. 2005:113-136. doi:10.1007/s10957-004-6468-7
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1995 | Journal Article | LibreCat-ID: 16550
Dellnitz M, Field M, Golubitsky M, Ma J, Hohmann A. Cycling Chaos. International Journal of Bifurcation and Chaos. 1995:1243-1247. doi:10.1142/s0218127495000909
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2020 | Journal Article | LibreCat-ID: 16288
Klus S, Nüske F, Peitz S, Niemann J-H, Clementi C, Schütte C. Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena. 2020;406. doi:10.1016/j.physd.2020.132416
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2020 | Journal Article | LibreCat-ID: 16309
Peitz S, Otto SE, Rowley CW. Data-Driven Model Predictive Control using Interpolated Koopman  Generators. SIAM Journal on Applied Dynamical Systems. 2020;19(3):2162-2193. doi:10.1137/20M1325678
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2020 | Journal Article | LibreCat-ID: 16290
Bieker K, Peitz S, Brunton SL, Kutz JN, Dellnitz M. Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics. 2020;34:577–591. doi:10.1007/s00162-020-00520-4
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2005 | Conference Paper | LibreCat-ID: 16631
Li R, Pottharst A, Frohieke N, et al. Design and implementation of a hybrid energy supply system for railway vehicles. In: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005. ; 2005. doi:10.1109/apec.2005.1452979
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2009 | Journal Article | LibreCat-ID: 16669
Schütze O, Vasile M, Junge O, Dellnitz M, Izzo D. Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach. Engineering Optimization. 2009:155-181. doi:10.1080/03052150802391734
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2003 | Journal Article | LibreCat-ID: 16600
Froyland G, Dellnitz M. Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing. 2003:1839-1863. doi:10.1137/s106482750238911x
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere B, Ober-Blöbaum S, Pergola P. Detecting Initial Guesses for Trajectories in the (P)CRTBP. In: AIAA/AAS Astrodynamics Specialist Conference. ; 2010. doi:10.2514/6.2010-7962
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1993 | Journal Article | LibreCat-ID: 16518
Barany E, Dellnitz M, Golubitsky M. Detecting the symmetry of attractors. Physica D: Nonlinear Phenomena. 1993:66-87. doi:10.1016/0167-2789(93)90198-a
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2007 | Journal Article | LibreCat-ID: 16602
Froyland G, Padberg K, England MH, Treguier AM. Detection of Coherent Oceanic Structures via Transfer Operators. Physical Review Letters. 2007. doi:10.1103/physrevlett.98.224503
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2014 | Conference Paper | LibreCat-ID: 8761
Dellnitz M, Eckstein J, Flaßkamp K, et al. Development of an Intelligent Cruise Control Using Optimal Control Methods. In: Procedia Technology. Vol 15. ; 2014:285-294. doi:10.1016/j.protcy.2014.09.082
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer R, Monien B, Preis R. Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems. 2002:305-320. doi:10.1007/s00224-002-1056-4
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2012 | Journal Article | LibreCat-ID: 16635
Meyer A. Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes. 2012:28-33. doi:10.3182/20121003-3-mx-4033.00008
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M. Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics. In: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C. ; 2007. doi:10.1115/detc2007-34574
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2015 | Journal Article | LibreCat-ID: 16582
Demoures F, Gay-Balmaz F, Leyendecker S, Ober-Blöbaum S, Ratiu TS, Weinand Y. Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik. 2015:73-123. doi:10.1007/s00211-014-0659-4
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2013 | Conference Paper | LibreCat-ID: 16672
Specht A, Ober-Blobaum S, Wallscheid O, Romaus C, Bocker J. Discrete-time model of an IPMSM based on variational integrators. In: 2013 International Electric Machines & Drives Conference. ; 2013. doi:10.1109/iemdc.2013.6556322
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp K, Murphey T, Ober-Blobaum S. Discretized switching time optimization problems. In: 2013 European Control Conference (ECC). ; 2013. doi:10.23919/ecc.2013.6669577
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper B, Podlogar H, Gausemeier J, Witting K. Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems. In: 2008 19th International Conference on Database and Expert Systems Applications. ; 2008. doi:10.1109/dexa.2008.111
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz M, Scheurle J. Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In: Dynamics, Bifurcation and Symmetry. Dordrecht; 1994. doi:10.1007/978-94-011-0956-7_9
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp K, Ober-Blobaum S. Energy efficient control for mechanical systems based on inherent dynamical structures. In: 2012 American Control Conference (ACC). ; 2012. doi:10.1109/acc.2012.6314820
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2006 | Conference Paper | LibreCat-ID: 16626
Knoke T, Romaus C, Bocker J, Dell’Aere A, Witting K. Energy Management for an Onboard Storage System Based on Multi-Objective Optimization. In: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. ; 2006. doi:10.1109/iecon.2006.347705
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2009 | Conference Paper | LibreCat-ID: 16663
Schneider T, Schulz B, Henke C, Witting K, Steenken D, Bocker J. Energy transfer via linear doubly-fed motor in different operating modes. In: 2009 IEEE International Electric Machines and Drives Conference. ; 2009. doi:10.1109/iemdc.2009.5075267
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos CI, Ober-Blöbaum S, Peitz S. Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. International Journal of Robust and Nonlinear Control. 2020;30(17):7593-7618. doi:10.1002/rnc.5197
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2021 | Journal Article | LibreCat-ID: 16294
Ober-Blöbaum S, Peitz S. Explicit multiobjective model predictive control for nonlinear systems  with symmetries. International Journal of Robust and Nonlinear Control. 2021;31(2):380-403. doi:10.1002/rnc.5281
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz M, Hohmann A, Junge O, Rumpf M. Exploring invariant sets and invariant measures. Chaos: An Interdisciplinary Journal of Nonlinear Science. 1997:221-228. doi:10.1063/1.166223
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland G. Extracting Dynamical Behavior via Markov Models. In: Nonlinear Dynamics and Statistics. Boston, MA; 2001. doi:10.1007/978-1-4612-0177-9_12
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz S, Klus S. Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator. In: Lecture Notes in Control and Information Sciences. Vol 484. Lecture Notes in Control and Information Sciences. Cham: Springer; 2020:257-282. doi:10.1007/978-3-030-35713-9_10
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz M. Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis. 2002:167-185. doi:10.1093/imanum/22.2.167
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke S, Peitz S, Wallscheid O, Böcker J, Dellnitz M. Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification. In: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE). ; 2019. doi:10.1109/precede.2019.8753313
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1992 | Journal Article | LibreCat-ID: 16548
Dellnitz M, Melbourne I, Marsden JE. Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity. 1992:979-996. doi:10.1088/0951-7715/5/4/008
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1992 | Book Chapter | LibreCat-ID: 16547
Dellnitz M, Marsden JE, Melbourne I, Scheurle J. Generic Bifurcations of Pendula. In: Bifurcation and Symmetry. Basel; 1992. doi:10.1007/978-3-0348-7536-3_10
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1994 | Journal Article | LibreCat-ID: 16541
Dellnitz M, Melbourne I. Generic movement of eigenvalues for equivariant self-adjoint matrices. Journal of Computational and Applied Mathematics. 1994:249-259. doi:10.1016/0377-0427(94)90032-9
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2007 | Journal Article | LibreCat-ID: 16612
Grüne L, Junge O. Global Optimal Control of Perturbed Systems. Journal of Optimization Theory and Applications. 2007:411-429. doi:10.1007/s10957-007-9312-z
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2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri I, Sertl S, Hajnal Z, Dellnitz M, Frauenheim T. Global optimization of silicon nanoclusters. Applied Surface Science. 2004:108-113. doi:10.1016/j.apsusc.2003.11.007
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2006 | Journal Article | LibreCat-ID: 16671
Sertl S, Dellnitz M. Global Optimization using a Dynamical Systems Approach. Journal of Global Optimization. 2006:569-587. doi:10.1007/s10898-005-4384-5
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2017 | Conference Paper | LibreCat-ID: 8752
Peitz S, Dellnitz M. Gradient-Based Multiobjective Optimization with Uncertainties. In: NEO 2016. Cham; 2017:159-182. doi:10.1007/978-3-319-64063-1_7
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2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz M, Molo MH, Metzner P, Preis R, Schütte C. Graph Algorithms for Dynamical Systems. In: Analysis, Modeling and Simulation of Multiscale Problems. ; 2006. doi:10.1007/3-540-35657-6_23
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2012 | Journal Article | LibreCat-ID: 16659
Ringkamp M, Ober-Blöbaum S, Dellnitz M, Schütze O. Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization. 2012:1117-1146. doi:10.1080/0305215x.2011.634407
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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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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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2020 | Journal Article | LibreCat-ID: 16295
Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2020. doi:10.1007/s10898-020-00983-z
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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
LibreCat | DOI
 

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
LibreCat | DOI
 

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
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16599
Froyland G. Markov modelling for random dynamical systems. In: Equadiff 99. ; 2013. doi:10.1142/9789812792617_0200
LibreCat | 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
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | 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
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | DOI
 

2019 | 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. 2019;161(1):171–199. doi:10.1007/s10440-018-0209-7
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | DOI
 

2019 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2019:1-19. doi:10.1080/14689367.2019.1661355
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | 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.
LibreCat
 

2020 | Preprint | LibreCat-ID: 20731
Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. arXiv:201207483. 2020.
LibreCat | Download (ext.)
 

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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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. 2019.
LibreCat
 

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
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16616
Junge O. Rigorous discretization of subdivision techniques. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0178
LibreCat | DOI
 

2019 | Preprint | LibreCat-ID: 16296
Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-based multiobjective optimization of elliptic PDEs via numerical  continuation. arXiv:190609075. 2019.
LibreCat | Download (ext.)
 

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.
LibreCat
 

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
LibreCat | 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
LibreCat | 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.
LibreCat
 

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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | 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
LibreCat | DOI
 

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
LibreCat | 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
LibreCat | 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
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
 

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
 

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
LibreCat | 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
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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
 

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. Cham: Springer; 2020:55-85. doi:10.1007/978-3-030-51264-4_3
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz M, Junge O, Rumpf M, Strzodka R. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In: Equadiff 99. ; 2000:1053--1059. doi:10.1142/9789812792617_0204
LibreCat | DOI
 

2014 | Journal Article | LibreCat-ID: 17043
Baier R, Dellnitz M, Hessel-von Molo M, Sertl S, Kevrekidis IG. The computation of convex invariant sets via Newton’s method. Journal of Computational Dynamics. 2014;1(1):39-69. doi:10.3934/jcd.2014.1.39
LibreCat | DOI
 

2000 | Book Chapter | LibreCat-ID: 16513
Aston PJ, Dellnitz M. The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In: Equadiff 99. ; 2000. doi:10.1142/9789812792617_0196
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16511
Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering. 1999:223-237. doi:10.1016/s0045-7825(98)00196-0
LibreCat | DOI
 

1996 | Book Chapter | LibreCat-ID: 16533
Dellnitz M, Hohmann A. The Computation of Unstable Manifolds Using Subdivision and Continuation. In: Nonlinear Dynamical Systems and Chaos. Basel; 1996. doi:10.1007/978-3-0348-7518-9_21
LibreCat | DOI
 

1995 | Book Chapter | LibreCat-ID: 16611
Golubitsky M, Marsden J, Stewart I, Dellnitz M. The constrained Liapunov-Schmidt procedure and periodic orbits. In: Normal Forms and Homoclinic Chaos. Providence, Rhode Island; 1995. doi:10.1090/fic/004/05
LibreCat | DOI
 

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

2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019:1265-1292. doi:10.1137/18m1204395
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16577
Dellnitz M, Dumitrescu R, Flaßkamp K, et al. The Paradigm of Self-optimization. In: Lecture Notes in Mechanical Engineering. Berlin, Heidelberg; 2014. doi:10.1007/978-3-642-45435-6_1
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16634
Melbourne I, Dellnitz M, Golubitsky M. The structure of symmetric attractors. Archive for Rational Mechanics and Analysis. 1993:75-98. doi:10.1007/bf00386369
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16603
Froyland G, Horenkamp C, Rossi V, Santitissadeekorn N, Gupta AS. Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling. 2012:69-75. doi:10.1016/j.ocemod.2012.05.001
LibreCat | DOI
 

2005 | Conference Paper | LibreCat-ID: 16525
Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: EQUADIFF 2003. ; 2005. doi:10.1142/9789812702067_0014
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 16715
Bittracher A, Koltai P, Klus S, Banisch R, Dellnitz M, Schütte C. Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science. 2018;28:471-512. doi:10.1007/s00332-017-9415-0
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16557
Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody Problems. International Journal of Bifurcation and Chaos. 2005:699-727. doi:10.1142/s0218127405012545
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 16558
Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters. 2005. doi:10.1103/physrevlett.94.231102
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2004 | Conference Paper | LibreCat-ID: 16620
Junge O, Marsden JE, Mezic I. Uncertainty in the dynamics of conservative maps. In: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). ; 2004. doi:10.1109/cdc.2004.1430379
LibreCat | DOI
 

2007 | Book Chapter | LibreCat-ID: 16640
Monien B, Preis R. Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In: Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg; 2007. doi:10.1007/3-540-44683-4_46
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16641
Monien B, Preis R. Upper bounds on the Bisection Width of 3- and 4-regular Graphs. Journal of Discrete Algorithms. 2006:475-498. doi:10.1016/j.jda.2005.12.009
LibreCat | DOI
 

2011 | Conference Paper | LibreCat-ID: 16588
Flaßkamp K, Ober-Blöbaum S. Variational formulation and optimal control of hybrid lagrangian systems. In: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11. ; 2011. doi:10.1145/1967701.1967736
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17046
Ober-Blöbaum S, Lindhorst H. Variational formulation and structure-preserving discretization ofnonlinear electric circuits. In: 21st International Symposium on Mathematical Theory of Networks and Systems. ; 2014.
LibreCat
 

2013 | Journal Article | LibreCat-ID: 17050
Ober-Blöbaum S, Tao M, Cheng M, Owhadi H, Marsden JE. Variational integrators for electric circuits. Journal of Computational Physics. 2013;242:498-530. doi:10.1016/j.jcp.2013.02.006
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 17044
Leitz T, Ober-Blöbaum S, Leyendecker S. Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration. In: Terze Z, ed. Multibody Dynamics. Cham: Springer; 2014. doi:10.1007/978-3-319-07260-9
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 17017
Bürkle D, Dellnitz M, Junge O, Rumpf M, Spielberg M. Visualizing Complicated Dynamics. Proceedings of Visualization 99. 1999.
LibreCat
 

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