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228 Publications


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
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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
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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
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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
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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
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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
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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
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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
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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
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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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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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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
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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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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
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2019 | Preprint | LibreCat-ID: 16711 | OA
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
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, O. (2000). Rigorous discretization of subdivision techniques. In Equadiff 99. https://doi.org/10.1142/9789812792617_0178
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2022 | Book Chapter | LibreCat-ID: 16296 | OA
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.
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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
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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
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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2021 | Journal Article | LibreCat-ID: 21820 | OA
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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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