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228 Publications
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2017 | Dissertation | LibreCat-ID: 10594 | 
Peitz, S. (2017). Exploiting structure in multiobjective optimization and optimal control. https://doi.org/10.17619/UNIPB/1-176
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2009 | Journal Article | LibreCat-ID: 16499
Biasco, L., & Di Gregorio, L. (2009). A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis, 303–362. https://doi.org/10.1007/s00205-009-0240-y
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2016 | Conference Paper | LibreCat-ID: 8758
Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., & Dellnitz, M. (2016). A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 26, 465–472. https://doi.org/10.1016/j.protcy.2016.08.059
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, M., Froyland, G., & Sertl, S. (2000). A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In Equadiff 99. https://doi.org/10.1142/9789812792617_0199
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2018 | Conference Paper | LibreCat-ID: 8750
Gebken, B., Peitz, S., & Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham. https://doi.org/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. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In arXiv:2402.06376.
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2007 | Conference Paper | LibreCat-ID: 16666
Schütze, O., Talbi, E., Pulido, G. T., Coello, C. C., & Santana-Quintero, L. V. (2007). A Memetic PSO Algorithm for Scalar Optimization Problems. In 2007 IEEE Swarm Intelligence Symposium. https://doi.org/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. (2009). A multi-objective approach to the design of low thrust space trajectories using optimal control. Celestial Mechanics and Dynamical Astronomy, 33–59. https://doi.org/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. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), 50(1), 8674–8679. https://doi.org/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. (2017). 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, 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526
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2013 | Conference Paper | LibreCat-ID: 16643
Ober-Blöbaum, S., & Seifried, A. (2013). A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In 2013 European Control Conference (ECC). https://doi.org/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. (2008). A new approach for online multiobjective optimization of mechatronic systems. International Journal on Software Tools for Technology Transfer, 223–231. https://doi.org/10.1007/s10009-008-0066-1
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2003 | Book Chapter | LibreCat-ID: 16664
Schütze, O. (2003). A New Data Structure for the Nondominance Problem in Multi-objective Optimization. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_36
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2024 | Journal Article | LibreCat-ID: 51208
Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications. https://doi.org/10.1007/s10589-024-00552-0
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1995 | Journal Article | LibreCat-ID: 16542
Dellnitz, M., & Melbourne, I. (1995). A note on the shadowing lemma and symmetric periodic points. Nonlinearity, 1067–1075. https://doi.org/10.1088/0951-7715/8/6/010
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2023 | Preprint | LibreCat-ID: 45498
von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled oscillator networks. In arXiv:2306.03320.
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2004 | Journal Article | LibreCat-ID: 16527
Day, S., Junge, O., & Mischaikow, K. (2004). A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. SIAM Journal on Applied Dynamical Systems, 117–160. https://doi.org/10.1137/030600210
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2004 | Journal Article | LibreCat-ID: 16619
Junge, O., & Osinga, H. M. (2004). A set oriented approach to global optimal control. ESAIM: Control, Optimisation and Calculus of Variations, 259–270. https://doi.org/10.1051/cocv:2004006
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2005 | Journal Article | LibreCat-ID: 16613
Grüne, L., & Junge, O. (2005). A set oriented approach to optimal feedback stabilization. Systems & Control Letters, 169–180. https://doi.org/10.1016/j.sysconle.2004.08.005
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2017 | Journal Article | LibreCat-ID: 16581
Dellnitz, M., Klus, S., & Ziessler, A. (2017). A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. SIAM Journal on Applied Dynamical Systems, 120–138. https://doi.org/10.1137/16m1072735
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2020 | Journal Article | LibreCat-ID: 16710 |
Gerlach, R., Ziessler, A., Eckhardt, B., & Dellnitz, M. (2020). A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems, 705–723. https://doi.org/10.1137/19m1247139
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, M., & Hohmann, A. (1997). A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik, 75, 293–317. https://doi.org/10.1007/s002110050240
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2005 | Journal Article | LibreCat-ID: 16627
Krauskopf, B., Osinga, H. M., Doedel, E. J., Henderson, M. E., Guckenheimer, J., Vladimirsky, A., … Junge, O. (2005). A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. International Journal of Bifurcation and Chaos, 763–791. https://doi.org/10.1142/s0218127405012533
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2018 | Journal Article | LibreCat-ID: 8751 |
Peitz, S., & Dellnitz, M. (2018). A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications, 23(2). https://doi.org/10.3390/mca23020030
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2013 | Journal Article | LibreCat-ID: 16677
Witting, K., Ober-Blöbaum, S., & Dellnitz, M. (2013). A variational approach to define robustness for parametric multiobjective optimization problems. Journal of Global Optimization, 331–345. https://doi.org/10.1007/s10898-012-9972-6
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2013 | Journal Article | LibreCat-ID: 21935
Noé, F., & Nüske, F. (2013). A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems. Multiscale Modeling & Simulation, 635–655. https://doi.org/10.1137/110858616
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1995 | Journal Article | LibreCat-ID: 16532
Dellnitz, M., & Heinrich, C. (1995). Admissible symmetry increasing bifurcations. Nonlinearity, 1039–1066. https://doi.org/10.1088/0951-7715/8/6/009
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf, S., Mora, K., Gölz, C., Reuter, E.-M., Godde, B., Dellnitz, M., … Voelcker-Rehage, C. (2018). Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control. Neuroscience, 203–213. https://doi.org/10.1016/j.neuroscience.2018.07.025
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1997 | Journal Article | LibreCat-ID: 16535
Dellnitz, M., & Junge, O. (1997). Almost Invariant Sets in Chua’s Circuit. International Journal of Bifurcation and Chaos, 2475–2485. https://doi.org/10.1142/s0218127497001655
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1997 | Journal Article | LibreCat-ID: 16614
Guder, R., Dellnitz, M., & Kreuzer, E. (1997). An adaptive method for the approximation of the generalized cell mapping. Chaos, Solitons & Fractals, 525–534. https://doi.org/10.1016/s0960-0779(96)00118-x
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, M., & Junge, O. (1998). An adaptive subdivision technique for the approximation of attractors and invariant measures. Computing and Visualization in Science, 63–68. https://doi.org/10.1007/s007910050006
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2001 | Journal Article | LibreCat-ID: 16617
Junge, O. (2001). An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems, 213–222. https://doi.org/10.1080/14689360109696233
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2011 | Journal Article | LibreCat-ID: 16624
Klus, S., Sahai, T., Liu, C., & Dellnitz, M. (2011). An efficient algorithm for the parallel solution of high-dimensional differential equations. Journal of Computational and Applied Mathematics, 3053–3062. https://doi.org/10.1016/j.cam.2010.12.026
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2021 | Journal Article | LibreCat-ID: 16867 |
Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w
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2013 | Conference Paper | LibreCat-ID: 17048
Timmermann, R., & Dellnitz, M. (2013). Analysis of team and player performance using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
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2018 | Preprint | LibreCat-ID: 16293 |
Klus, S., Peitz, S., & Schuster, I. (2018). Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions. ArXiv:1805.10118.
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2007 | Book Chapter | LibreCat-ID: 16658
Preis, R., Monien, B., & Schamberger, S. (2007). Approximation Algorithms for Multilevel Graph Partitioning. In Handbook of Approximation Algorithms and Metaheuristics. https://doi.org/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, T. S. (2013). Asynchronous variational Lie group integration for geometrically exact beam dynamics. PAMM, 45–46. https://doi.org/10.1002/pamm.201310018
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
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1994 | Journal Article | LibreCat-ID: 17014
Dellnitz, M. (1994). Collisions of chaotic attractors. Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität Hamburg, 411–428.
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2022 | Dissertation | LibreCat-ID: 31556 |
Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, P., Dellnitz, M., Junge, O., & Schütte, C. (1999). Computation of Essential Molecular Dynamics by Subdivision Techniques. In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58360-5_5
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2009 | Journal Article | LibreCat-ID: 16545
Dellnitz, M., & Witting, K. (2009). Computation of robust Pareto points. International Journal of Computing Science and Mathematics. https://doi.org/10.1504/ijcsm.2009.027876
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2003 | Journal Article | LibreCat-ID: 16498
Aston, P. J., & Dellnitz, M. (2003). 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, 2933–2955. https://doi.org/10.1098/rspa.2003.1143
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1992 | Journal Article | LibreCat-ID: 17012
Dellnitz, M. (1992). Computational bifurcation of periodic solutions in systems with symmetry. IMA Journal of Numerical Analysis, 12(3), 429–455. https://doi.org/10.1093/imanum/12.3.429
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1989 | Journal Article | LibreCat-ID: 16682
Dellnitz, M., & Werner, B. (1989). Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points. Journal of Computational and Applied Mathematics, 97–123. https://doi.org/10.1016/0377-0427(89)90150-7
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2013 | Journal Article | LibreCat-ID: 16608
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2013). Computing time investigations for variational multirate integration. PAMM, 43–44. https://doi.org/10.1002/pamm.201310017
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2003 | Book Chapter | LibreCat-ID: 16543
Dellnitz, M., & Preis, R. (2003). Congestion and Almost Invariant Sets in Dynamical Systems. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/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. (2010). Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In Nonlinear Science and Complexity. Dordrecht. https://doi.org/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. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
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