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228 Publications
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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, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering. Vol 26. ; 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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2024 | Preprint | LibreCat-ID: 51334 |
Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published online 2024.
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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. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC). 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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2024 | Journal Article | LibreCat-ID: 51208
Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. Published online 2024. doi:10.1007/s10589-024-00552-0
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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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2023 | Preprint | LibreCat-ID: 45498
von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order phase reduction in coupled oscillator networks. arXiv:230603320.
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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. Published online 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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2013 | Journal Article | LibreCat-ID: 21935
Noé F, Nüske F. A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems. Multiscale Modeling & Simulation. 2013:635-655. doi:10.1137/110858616
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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;188:696-723. 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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2019 | Journal Article | LibreCat-ID: 21944
Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131
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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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2022 | Dissertation | LibreCat-ID: 31556 |
Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327
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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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