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228 Publications
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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2014 | Journal Article | LibreCat-ID: 16597
Flaßkamp, K., Timmermann, J., Ober-Blöbaum, S., & Trächtler, A. (2014). Control strategies on stable manifolds for energy-efficient swing-ups of double pendula. International Journal of Control, 1886–1905. https://doi.org/10.1080/00207179.2014.893450
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2018 | Preprint | LibreCat-ID: 16292 |
Peitz, S. (2018). Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data. ArXiv:1801.06419.
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2008 | Journal Article | LibreCat-ID: 16668
Schütze, O., Laumanns, M., Coello Coello, C. A., Dellnitz, M., & Talbi, E.-G. (2008). Convergence of stochastic search algorithms to finite size pareto set approximations. Journal of Global Optimization, 559–577. https://doi.org/10.1007/s10898-007-9265-7
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2003 | Book Chapter | LibreCat-ID: 16665
Schütze, O., Mostaghim, S., Dellnitz, M., & Teich, J. (2003). Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In Lecture Notes in Computer Science. Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_9
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2005 | Journal Article | LibreCat-ID: 16684
Dellnitz, M., Sch�tze, O., & Hestermeyer, T. (2005). Covering Pareto Sets by Multilevel Subdivision Techniques. Journal of Optimization Theory and Applications, 113–136. https://doi.org/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. (1995). Cycling Chaos. International Journal of Bifurcation and Chaos, 1243–1247. https://doi.org/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. (2020). Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena, 406. https://doi.org/10.1016/j.physd.2020.132416
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, S., Otto, S. E., & Rowley, C. W. (2020). Data-Driven Model Predictive Control using Interpolated Koopman Generators. SIAM Journal on Applied Dynamical Systems, 19(3), 2162–2193. https://doi.org/10.1137/20M1325678
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2018 | Journal Article | LibreCat-ID: 21941
Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., & Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation. Journal of Nonlinear Science, 985–1010. https://doi.org/10.1007/s00332-017-9437-7
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2020 | Journal Article | LibreCat-ID: 16290 |
Bieker, K., Peitz, S., Brunton, S. L., Kutz, J. N., & Dellnitz, M. (2020). Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics, 34, 577–591. https://doi.org/10.1007/s00162-020-00520-4
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2021 | Journal Article | LibreCat-ID: 21337 |
Berkemeier, M. B., & Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications, 26(2). https://doi.org/10.3390/mca26020031
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2005 | Conference Paper | LibreCat-ID: 16631
Li, R., Pottharst, A., Frohieke, N., Becker, J., Witting, K., Dellnitz, M., … Feldmann, R. (2005). 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. https://doi.org/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. (2009). Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach. Engineering Optimization, 155–181. https://doi.org/10.1080/03052150802391734
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2003 | Journal Article | LibreCat-ID: 16600
Froyland, G., & Dellnitz, M. (2003). Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing, 1839–1863. https://doi.org/10.1137/s106482750238911x
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2010 | Conference Paper | LibreCat-ID: 16675
Thiere, B., Ober-Blöbaum, S., & Pergola, P. (2010). Detecting Initial Guesses for Trajectories in the (P)CRTBP. In AIAA/AAS Astrodynamics Specialist Conference. https://doi.org/10.2514/6.2010-7962
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1993 | Journal Article | LibreCat-ID: 16518
Barany, E., Dellnitz, M., & Golubitsky, M. (1993). Detecting the symmetry of attractors. Physica D: Nonlinear Phenomena, 66–87. https://doi.org/10.1016/0167-2789(93)90198-a
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2007 | Journal Article | LibreCat-ID: 16602
Froyland, G., Padberg, K., England, M. H., & Treguier, A. M. (2007). Detection of Coherent Oceanic Structures via Transfer Operators. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.224503
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, R., Monien, B., & Preis, R. (2002). Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems, 305–320. https://doi.org/10.1007/s00224-002-1056-4
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2012 | Journal Article | LibreCat-ID: 16635
Meyer, A. (2012). Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes, 28–33. https://doi.org/10.3182/20121003-3-mx-4033.00008
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2007 | Conference Paper | LibreCat-ID: 16630
Leyendecker, S., Ober-Blöbaum, S., Marsden, J. E., & Ortiz, M. (2007). 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. https://doi.org/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, T. S., & Weinand, Y. (2015). Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik, 73–123. https://doi.org/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. (2013). Discrete-time model of an IPMSM based on variational integrators. In 2013 International Electric Machines & Drives Conference. https://doi.org/10.1109/iemdc.2013.6556322
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2013 | Conference Paper | LibreCat-ID: 16594
Flasskamp, K., Murphey, T., & Ober-Blobaum, S. (2013). Discretized switching time optimization problems. In 2013 European Control Conference (ECC). https://doi.org/10.23919/ecc.2013.6669577
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2008 | Conference Paper | LibreCat-ID: 16623
Klöpper, B., Podlogar, H., Gausemeier, J., & Witting, K. (2008). 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. https://doi.org/10.1109/dexa.2008.111
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2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682
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| arXiv
2022 | Book Chapter | LibreCat-ID: 30294
Peitz, S., Dellnitz, M., & Bannenberg, S. (2022). Efficient Virtual Design and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, & V. Schulz (Eds.), German Success Stories in Industrial Mathematics (Vol. 35). Springer International Publishing. https://doi.org/10.1007/978-3-030-81455-7_23
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1994 | Book Chapter | LibreCat-ID: 16544
Dellnitz, M., & Scheurle, J. (1994). Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom. In Dynamics, Bifurcation and Symmetry. Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_9
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2021 | Journal Article | LibreCat-ID: 21195
Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., & Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. https://doi.org/10.1007/s11571-020-09656-9
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2012 | Conference Paper | LibreCat-ID: 16589
Flaskamp, K., & Ober-Blobaum, S. (2012). Energy efficient control for mechanical systems based on inherent dynamical structures. In 2012 American Control Conference (ACC). https://doi.org/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. (2006). Energy Management for an Onboard Storage System Based on Multi-Objective Optimization. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. https://doi.org/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. (2009). Energy transfer via linear doubly-fed motor in different operating modes. In 2009 IEEE International Electric Machines and Drives Conference. https://doi.org/10.1109/iemdc.2009.5075267
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, C. I., Ober-Blöbaum, S., & Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty. International Journal of Robust and Nonlinear Control, 30(17), 7593–7618. https://doi.org/10.1002/rnc.5197
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| DOI
2021 | Journal Article | LibreCat-ID: 16294 |
Ober-Blöbaum, S., & Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403. https://doi.org/10.1002/rnc.5281
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1997 | Journal Article | LibreCat-ID: 16552
Dellnitz, M., Hohmann, A., Junge, O., & Rumpf, M. (1997). Exploring invariant sets and invariant measures. Chaos: An Interdisciplinary Journal of Nonlinear Science, 221–228. https://doi.org/10.1063/1.166223
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| DOI
2001 | Book Chapter | LibreCat-ID: 16598
Froyland, G. (2001). Extracting Dynamical Behavior via Markov Models. In Nonlinear Dynamics and Statistics. Boston, MA. https://doi.org/10.1007/978-1-4612-0177-9_12
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 32447 |
Sonntag, K., & Peitz, S. (2023). Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. In arXiv:2307.00975.
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| arXiv
2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, S., & Klus, S. (2020). 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, pp. 257–282). Cham: Springer. https://doi.org/10.1007/978-3-030-35713-9_10
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. (2002). Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis, 167–185. https://doi.org/10.1093/imanum/22.2.167
LibreCat
| DOI
2019 | Conference Paper | LibreCat-ID: 10597
Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019). 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). https://doi.org/10.1109/precede.2019.8753313
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 23428 |
Nüske, F., Peitz, S., Philipp, F., Schaller, M., & Worthmann, K. (2023). Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science, 33, Article 14. https://doi.org/10.1007/s00332-022-09862-1
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1992 | Journal Article | LibreCat-ID: 16548
Dellnitz, M., Melbourne, I., & Marsden, J. E. (1992). Generic bifurcation of Hamiltonian vector fields with symmetry. Nonlinearity, 979–996. https://doi.org/10.1088/0951-7715/5/4/008
LibreCat
| DOI
1992 | Book Chapter | LibreCat-ID: 16547
Dellnitz, M., Marsden, J. E., Melbourne, I., & Scheurle, J. (1992). Generic Bifurcations of Pendula. In Bifurcation and Symmetry. Basel. https://doi.org/10.1007/978-3-0348-7536-3_10
LibreCat
| DOI
1994 | Journal Article | LibreCat-ID: 16541
Dellnitz, M., & Melbourne, I. (1994). Generic movement of eigenvalues for equivariant self-adjoint matrices. Journal of Computational and Applied Mathematics, 249–259. https://doi.org/10.1016/0377-0427(94)90032-9
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 16612
Grüne, L., & Junge, O. (2007). Global Optimal Control of Perturbed Systems. Journal of Optimization Theory and Applications, 411–429. https://doi.org/10.1007/s10957-007-9312-z
LibreCat
| DOI
2004 | Journal Article | LibreCat-ID: 16500
Chaudhuri, I., Sertl, S., Hajnal, Z., Dellnitz, M., & Frauenheim, T. (2004). Global optimization of silicon nanoclusters. Applied Surface Science, 108–113. https://doi.org/10.1016/j.apsusc.2003.11.007
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 16671
Sertl, S., & Dellnitz, M. (2006). Global Optimization using a Dynamical Systems Approach. Journal of Global Optimization, 569–587. https://doi.org/10.1007/s10898-005-4384-5
LibreCat
| DOI
2017 | Conference Paper | LibreCat-ID: 8752
Peitz, S., & Dellnitz, M. (2017). Gradient-Based Multiobjective Optimization with Uncertainties. In NEO 2016 (pp. 159–182). Cham. https://doi.org/10.1007/978-3-319-64063-1_7
LibreCat
| DOI
2006 | Book Chapter | LibreCat-ID: 16559
Dellnitz, M., Molo, M. H., Metzner, P., Preis, R., & Schütte, C. (2006). Graph Algorithms for Dynamical Systems. In Analysis, Modeling and Simulation of Multiscale Problems. https://doi.org/10.1007/3-540-35657-6_23
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16659
Ringkamp, M., Ober-Blöbaum, S., Dellnitz, M., & Schütze, O. (2012). Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization, 1117–1146. https://doi.org/10.1080/0305215x.2011.634407
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 52726 |
Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2). https://doi.org/10.1093/comnet/cnae009
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| arXiv
2015 | Journal Article | LibreCat-ID: 17041
Campos, C. M., Ober-Blöbaum, S., & Trélat, E. (2015). High order variational integrators in the optimal control of mechanical systems. Discrete & Continuous Dynamical Systems - A, 35(9), 4193–4223. https://doi.org/10.3934/dcds.2015.35.4193
LibreCat
| DOI
2008 | Journal Article | LibreCat-ID: 16667
Schütze, O., Coello Coello, C. A., Mostaghim, S., Talbi, E.-G., & Dellnitz, M. (2008). Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems. Engineering Optimization, 383–402. https://doi.org/10.1080/03052150701821328
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075
LibreCat
| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 16713
Gölz, C., Voelcker-Rehage, C., Mora, K., Reuter, E.-M., Godde, B., Dellnitz, M., … Vieluf, S. (2018). Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology. https://doi.org/10.3389/fphys.2018.01540
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16696
Zanzottera, A., Mingotti, G., Castelli, R., & Dellnitz, M. (2012). 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, 832–843. https://doi.org/10.1016/j.cnsns.2011.06.032
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 16295 |
Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/10.1007/s10898-020-00983-z
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2020 | Journal Article | LibreCat-ID: 21819 |
Klus, S., Nüske, F., & Hamzi, B. (2020). Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy. https://doi.org/10.3390/e22070722
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2022 | Journal Article | LibreCat-ID: 29673 |
Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical, 55(31), 314002. https://doi.org/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. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives. ArXiv:1804.00854.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 16648
Padberg, K., Hauff, T., Jenko, F., & Junge, O. (2007). Lagrangian structures and transport in turbulent magnetized plasmas. New Journal of Physics, 400–400. https://doi.org/10.1088/1367-2630/9/11/400
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 16649
Padberg, K., Thiere, B., Preis, R., & Dellnitz, M. (2009). Local expansion concepts for detecting transport barriers in dynamical systems. Communications in Nonlinear Science and Numerical Simulation, 4176–4190. https://doi.org/10.1016/j.cnsns.2009.03.018
LibreCat
| DOI
2013 | Book Chapter | LibreCat-ID: 16599
Froyland, G. (2013). Markov modelling for random dynamical systems. In Equadiff 99. https://doi.org/10.1142/9789812792617_0200
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 21938
Nüske, F., Wu, H., Prinz, J.-H., Wehmeyer, C., Clementi, C., & Noé, F. (2017). Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. The Journal of Chemical Physics. https://doi.org/10.1063/1.4976518
LibreCat
| DOI
1992 | Book Chapter | LibreCat-ID: 16546
Dellnitz, M., Golubitsky, M., & Melbourne, I. (1992). Mechanisms of Symmetry Creation. In Bifurcation and Symmetry. Basel. https://doi.org/10.1007/978-3-0348-7536-3_9
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 16679
Anacker, H., Dellnitz, M., Flaßkamp, K., Groesbrink, S., Hartmann, P., Heinzemann, C., … Ziegert, S. (2014). Methods for the Design and Development. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45435-6_5
LibreCat
| DOI
2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., & Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_14
LibreCat
| DOI
2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., & Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_14
LibreCat
| DOI
2006 | Conference Paper | LibreCat-ID: 16528
Dell’Aere, A. (2006). Multi-Objective Optimization in Self-Optimizing Systems. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. https://doi.org/10.1109/iecon.2006.348080
LibreCat
| DOI
2009 | Conference Paper | LibreCat-ID: 16695
Wang, F., & Dellnitz, M. (2009). Multi-objective shape optimization for piezoceramics. In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications. https://doi.org/10.1109/spawda.2008.4775823
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| DOI
2022 | Preprint | LibreCat-ID: 33150 |
Berkemeier, M. B., & Peitz, S. (2022). Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094.
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| arXiv
2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz, M., & Schütze, O. (2012). Multilevel Subdivision Techniques for Scalar Optimization Problems. In Global Analysis of Nonlinear Dynamics. New York, NY. https://doi.org/10.1007/978-1-4614-3128-2_10
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 8759
Peitz, S., Gräler, M., Henke, C., Molo, M. H., Dellnitz, M., & Trächtler, A. (2016). Multiobjective Model Predictive Control of an Industrial Laundry. In Procedia Technology (pp. 483–490). https://doi.org/10.1016/j.protcy.2016.08.061
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Progress in Industrial Mathematics at ECMI (Vol. 22, pp. 633–641). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-23413-7_87
LibreCat
| DOI
2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U., … Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Mathematics in Industry. Cham. https://doi.org/10.1007/978-3-319-23413-7_87
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 8753
Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2018). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae, 161(1), 171–199. https://doi.org/10.1007/s10440-018-0209-7
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum, S., & Padberg-Gehle, K. (2015). Multiobjective optimal control of fluid mixing. PAMM, 639–640. https://doi.org/10.1002/pamm.201510309
LibreCat
| DOI
2009 | Conference Paper | LibreCat-ID: 16524
Blesken, M., Ruckert, U., Steenken, D., Witting, K., & Dellnitz, M. (2009). Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques. In 2009 NORCHIP. https://doi.org/10.1109/norchp.2009.5397800
LibreCat
| DOI
2008 | Journal Article | LibreCat-ID: 16610
Geisler, M. S. J., Witting, D.-M. K., Trächtler, A., & Dellnitz, M. (2008). Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle. IFAC Proceedings Volumes, 4380–4386. https://doi.org/10.3182/20080706-5-kr-1001.00738
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113.
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| arXiv
2015 | Journal Article | LibreCat-ID: 1774
Peitz, S., & Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. PAMM, 15(1), 613–614. https://doi.org/10.1002/pamm.201510296
LibreCat
| DOI
2015 | Conference Paper | LibreCat-ID: 8760
Peitz, S., & Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In PAMM (pp. 613–614). https://doi.org/10.1002/pamm.201510296
LibreCat
| DOI
2004 | Journal Article | LibreCat-ID: 16521
Bezrukov, S., Elsässer, R., Monien, B., Preis, R., & Tillich, J.-P. (2004). New spectral lower bounds on the bisection width of graphs. Theoretical Computer Science, 155–174. https://doi.org/10.1016/j.tcs.2004.03.059
LibreCat
| DOI
2012 | Book Chapter | LibreCat-ID: 16516
Baier, R., & Molo, M. H. (2012). Newton’s Method and Secant Method for Set-Valued Mappings. In Large-Scale Scientific Computing. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_9
LibreCat
| DOI
1993 | Journal Article | LibreCat-ID: 16633
Melbourne, I., & Dellnitz, M. (1993). Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group. Mathematical Proceedings of the Cambridge Philosophical Society, 235–268. https://doi.org/10.1017/s0305004100071577
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 16560
Dellnitz, M., Junge, O., Post, M., & Thiere, B. (2006). On target for Venus – set oriented computation of energy efficient low thrust trajectories. Celestial Mechanics and Dynamical Astronomy, 357–370. https://doi.org/10.1007/s10569-006-9008-y
LibreCat
| DOI
1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, M., & Junge, O. (1999). On the Approximation of Complicated Dynamical Behavior. SIAM Journal on Numerical Analysis, 491–515. https://doi.org/10.1137/s0036142996313002
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 16572
Dellnitz, M., Froyland, G., Horenkamp, C., & Padberg, K. (2009). On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen, 47–60. https://doi.org/10.1002/gamm.200910004
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 16580
Ziessler, A., Molo, M. H.-V., & Dellnitz, M. (2016). On the computation of attractors for delay differential equations. Journal of Computational Dynamics, 5–5. https://doi.org/10.3934/jcd.2016005
LibreCat
| DOI
2023 | Preprint | LibreCat-ID: 44840
Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies. In arXiv:2305.06632.
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| arXiv
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
LibreCat
| DOI
2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, M., Froyland, G., & Sertl, S. (2000). On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 1171–1188. https://doi.org/10.1088/0951-7715/13/4/310
LibreCat
| DOI
2014 | Conference Paper | LibreCat-ID: 17045
Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2014). On the role of quadrature rules and system dimensions in variational multirateintegrators. In The 3rdJoint International Conference on Multibody System Dynamics.
LibreCat
2023 | Journal Article | LibreCat-ID: 27426 |
Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
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2022 | Journal Article | LibreCat-ID: 20731 |
Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962
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2023 | Journal Article | LibreCat-ID: 21199 |
Peitz, S., & Bieker, K. (2023). On the Universal Transformation of Data-Driven Models to Control Systems. Automatica, 149, Article 110840. https://doi.org/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. (2014). Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. In 52nd IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.2013.6761075
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16593
Flaßkamp, K., Timmermann, J., Ober-Blöbaum, S., Dellnitz, M., & Trächtler, A. (2012). Optimal Control on Stable Manifolds for a Double Pendulum. PAMM, 723–724. https://doi.org/10.1002/pamm.201210350
LibreCat
| DOI
2004 | Journal Article | LibreCat-ID: 16587
Elsässer, R., Monien, B., Preis, R., & Frommer, A. (2004). Optimal Diffusion Schemes and Load Balancing on Product Graphs. Parallel Processing Letters, 61–73. https://doi.org/10.1142/s0129626404001714
LibreCat
| DOI
2009 | Conference Paper | LibreCat-ID: 16661
Romaus, C., Bocker, J., Witting, K., Seifried, A., & Znamenshchykov, O. (2009). Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors. In 2009 IEEE Energy Conversion Congress and Exposition. https://doi.org/10.1109/ecce.2009.5316428
LibreCat
| DOI
2006 | Conference Paper | LibreCat-ID: 16618
Junge, O., & Ober-Blobaum, S. (2006). Optimal Reconfiguration of Formation Flying Satellites. In Proceedings of the 44th IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.2005.1582132
LibreCat
| DOI
2006 | Conference Paper | LibreCat-ID: 16621
Junge, O., Marsden, J. E., & Ober-Blobaum, S. (2006). Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach. In Proceedings of the 45th IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.2006.376977
LibreCat
| DOI
2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp, K., Murphey, T., & Ober-Blöbaum, S. (2013). Optimization for discretized switched systems. PAMM, 401–402. https://doi.org/10.1002/pamm.201310196
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 16629
Krüger, M., Witting, K., Trächtler, A., & Dellnitz, M. (2011). Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. IFAC Proceedings Volumes, 12611–12619. https://doi.org/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. (2020). Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization, 52(5), 832–855. https://doi.org/10.1080/0305215x.2019.1617286
LibreCat
| DOI
2015 | Conference Paper | LibreCat-ID: 16622
Keuck, L., Frohleke, N., Bocker, J., & Ziessler, A. (2015). PFC-control for improved inductor utilization. In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe). https://doi.org/10.1109/epe.2015.7309373
LibreCat
| DOI
2018 | Conference Paper | LibreCat-ID: 8757
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). POD-based multiobjective optimal control of PDEs with non-smooth objectives. In PAMM (pp. 51–54). https://doi.org/10.1002/pamm.201710015
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| DOI
2018 | Journal Article | LibreCat-ID: 21943
Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., & Clementi, C. (2018). Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics. https://doi.org/10.1063/1.5053582
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| DOI
2018 | Journal Article | LibreCat-ID: 21940
Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R., … Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation, 2771–2783. https://doi.org/10.1021/acs.jctc.8b00089
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 16660
Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2015). Relaxing mixed integer optimal control problems using a time transformation. PAMM, 27–30. https://doi.org/10.1002/pamm.201510008
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| DOI
2006 | Journal Article | LibreCat-ID: 16674
Thiere, B. (2006). Return Time Dynamics as a Tool for Finding Almost Invariant Sets. Annals of the New York Academy of Sciences, 44–54. https://doi.org/10.1196/annals.1370.027
LibreCat
| DOI
2019 | Preprint | LibreCat-ID: 16711 |
Gerlach, R., Koltai, P., & Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems. In arXiv:1902.08824.
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2001 | Journal Article | LibreCat-ID: 16601
Froyland, G., Junge, O., & Ochs, G. (2001). Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0
LibreCat
| DOI
2000 | Book Chapter | LibreCat-ID: 16616
Junge, O. (2000). Rigorous discretization of subdivision techniques. In Equadiff 99. https://doi.org/10.1142/9789812792617_0178
LibreCat
| DOI
2022 | Book Chapter | LibreCat-ID: 16296 |
Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer. https://doi.org/10.1007/978-3-030-79393-7_3
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer, R., Schnittker, R., Timmermann, R., Zorn, R., Rückert, U., & Baumeister, J. (2013). Running performance analysis in basketball using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
LibreCat
2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy, A., & Preis, R. (2005). Satellite Formation, a Mobile Sensor Network in Space. In 19th IEEE International Parallel and Distributed Processing Symposium. https://doi.org/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. (2009). Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics, 655–663. https://doi.org/10.5194/npg-16-655-2009
LibreCat
| DOI
2008 | Conference Paper | LibreCat-ID: 17031
Geisler, J., Witting, K., Trächtler, A., & Dellnitz, M. (2008). Self-Optimization of the Guidance Module of a Rail-bound Vehicle. In 7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future.
LibreCat
2017 | Journal Article | LibreCat-ID: 16540
Dellnitz, M., & Klus, S. (2017). Sensing and control in symmetric networks. Dynamical Systems, 61–79. https://doi.org/10.1080/14689367.2016.1215410
LibreCat
| DOI
2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz, M., Padberg, K., Post, M., & Thiere, B. (2007). Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems. In AIP Conference Proceedings. https://doi.org/10.1063/1.2710046
LibreCat
| DOI
2013 | Book Chapter | LibreCat-ID: 16670
Schütze, O., Witting, K., Ober-Blöbaum, S., & Dellnitz, M. (2013). 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. https://doi.org/10.1007/978-3-642-32726-1_5
LibreCat
| DOI
2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, M., & Junge, O. (2002). Set Oriented Numerical Methods for Dynamical Systems. In Handbook of Dynamical Systems. https://doi.org/10.1016/s1874-575x(02)80026-1
LibreCat
| DOI
2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz, M., & Junge, O. (2006). Set Oriented Numerical Methods in Space Mission Design. In Elsevier Astrodynamics Series. https://doi.org/10.1016/s1874-9305(07)80007-0
LibreCat
| DOI
2018 | Book Chapter | LibreCat-ID: 8754
Beermann, D., Dellnitz, M., Peitz, S., & Volkwein, S. (2018). Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In Reduced-Order Modeling (ROM) for Simulation and Optimization (pp. 47–72). Cham. https://doi.org/10.1007/978-3-319-75319-5_3
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16592
Flaßkamp, K., Ober-Blöbaum, S., & Kobilarov, M. (2012). Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures. Journal of Nonlinear Science, 599–629. https://doi.org/10.1007/s00332-012-9140-7
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp, K., Ober-Blöbaum, S., & Kobilarov, M. (2010). Solving optimal control problems by using inherent dynamical properties. PAMM, 577–578. https://doi.org/10.1002/pamm.201010281
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 16673
Tantardini, M., Fantino, E., Ren, Y., Pergola, P., Gómez, G., & Masdemont, J. J. (2010). Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem. Celestial Mechanics and Dynamical Astronomy, 215–232. https://doi.org/10.1007/s10569-010-9299-x
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 21942
Boninsegna, L., Nüske, F., & Clementi, C. (2018). Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics. https://doi.org/10.1063/1.5018409
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 21820 |
Nüske, F., Koltai, P., Boninsegna, L., & Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. https://doi.org/10.3390/e23020134
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2007 | Report | LibreCat-ID: 17028
Vasile, M., Schütze, O., Junge, O., Radice, G., & Dellnitz, M. (2007). Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency.
LibreCat
1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, M., Golubitsky, M., Hohmann, A., & Stewart, I. (1995). Spirals in Scalar Reaction–Diffusion Equations. International Journal of Bifurcation and Chaos, 1487–1501. https://doi.org/10.1142/s0218127495001149
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser, S., & Dellnitz, M. (2011). Stabilization via symmetry switching in hybrid dynamical systems. Discrete & Continuous Dynamical Systems - B, 16(1), 239–263. https://doi.org/10.3934/dcdsb.2011.16.239
LibreCat
| DOI
2012 | Conference Paper | LibreCat-ID: 16591
Flasskamp, K., Murphey, T., & Ober-Blobaum, S. (2012). Switching time optimization in discretized hybrid dynamical systems. In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC). https://doi.org/10.1109/cdc.2012.6426414
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24170
Klus, S., Gelß, P., Nüske, F., & Noé, F. (2021). Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology, Article 045016. https://doi.org/10.1088/2632-2153/ac14ad
LibreCat
| DOI
2009 | Journal Article | LibreCat-ID: 16636
Meyer, A., & Dellnitz, M. (2009). Symmetries in Timed Continuous Petri Nets. IFAC Proceedings Volumes, 68–73. https://doi.org/10.3182/20090916-3-es-3003.00013
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 16639
Meyer, A., Dellnitz, M., & Hessel-von Molo, M. (2011). Symmetries in timed continuous Petri nets. Nonlinear Analysis: Hybrid Systems, 125–135. https://doi.org/10.1016/j.nahs.2010.05.005
LibreCat
| DOI
1995 | Journal Article | LibreCat-ID: 16510
Aston, P. J., & Dellnitz, M. (1995). Symmetry Breaking Bifurcations of Chaotic Attractors. International Journal of Bifurcation and Chaos, 1643–1676. https://doi.org/10.1142/s021812749500123x
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 17039
Flasskamp, K., Hage-Packhäuser, S., & Ober-Blöbaum, S. (2015). Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics, 2(1), 25–50. https://doi.org/10.3934/jcd.2015.2.25
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation. Cham: Springer. https://doi.org/10.1007/978-3-030-51264-4_9
LibreCat
| DOI
1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz, M., Golubitsky, M., & Nicol, M. (1994). Symmetry of Attractors and the Karhunen-Loève Decomposition. In Trends and Perspectives in Applied Mathematics. New York, NY. https://doi.org/10.1007/978-1-4612-0859-4_4
LibreCat
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2006 | Journal Article | LibreCat-ID: 16632
Mehta, P. G., Hessel-von Molo, M., & Dellnitz, M. (2006). Symmetry of attractors and the Perron-Frobenius operator. Journal of Difference Equations and Applications, 1147–1178. https://doi.org/10.1080/10236190601045788
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 16638
Meyer, A., & Silva, M. (2012). Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics. IFAC Proceedings Volumes, 153–159. https://doi.org/10.3182/20120606-3-nl-3011.00067
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 24169
Nüske, F., Gelß, P., Klus, S., & Clementi, C. (2021). Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena, Article 133018. https://doi.org/10.1016/j.physd.2021.133018
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 8755
Klus, S., Gelß, P., Peitz, S., & Schütte, C. (2018). Tensor-based dynamic mode decomposition. Nonlinearity, 31(7), 3359–3380. https://doi.org/10.1088/1361-6544/aabc8f
LibreCat
| DOI
2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, M., Froyland, G., & Junge, O. (2001). The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56589-2_7
LibreCat
| DOI
2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3
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