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228 Publications
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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
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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
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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
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| 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
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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
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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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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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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
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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
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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.
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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
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