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228 Publications


2024 | Journal Article | LibreCat-ID: 52726 | OA
Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks 12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 17041
Campos, Cédric M., Sina Ober-Blöbaum, and Emmanuel Trélat. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete & Continuous Dynamical Systems - A 35, no. 9 (2015): 4193–4223. https://doi.org/10.3934/dcds.2015.35.4193.
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2023 | Preprint | LibreCat-ID: 49371
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.
LibreCat | arXiv
 

2008 | Journal Article | LibreCat-ID: 16667
Schütze, Oliver, Carlos A. Coello Coello, Sanaz Mostaghim, El-Ghazali Talbi, and Michael Dellnitz. “Hybridizing Evolutionary Strategies with Continuation Methods for Solving Multi-Objective Problems.” Engineering Optimization, 2008, 383–402. https://doi.org/10.1080/03052150701821328.
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2023 | Journal Article | LibreCat-ID: 49326
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.
LibreCat | DOI | arXiv
 

2018 | Journal Article | LibreCat-ID: 16713
Gölz, Christian, Claudia Voelcker-Rehage, Karin Mora, Eva-Maria Reuter, Ben Godde, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics.” Frontiers in Physiology, 2018. https://doi.org/10.3389/fphys.2018.01540.
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2012 | Journal Article | LibreCat-ID: 16696
Zanzottera, A., G. Mingotti, R. Castelli, and M. Dellnitz. “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, 2012, 832–43. https://doi.org/10.1016/j.cnsns.2011.06.032.
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2021 | Journal Article | LibreCat-ID: 16295 | OA
Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.” Journal of Global Optimization 80 (2021): 3–29. https://doi.org/10.1007/s10898-020-00983-z.
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2020 | Journal Article | LibreCat-ID: 21819 | OA
Klus, Stefan, Feliks Nüske, and Boumediene Hamzi. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” Entropy, 2020. https://doi.org/10.3390/e22070722.
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2022 | Journal Article | LibreCat-ID: 29673 | OA
Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55, no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22.
LibreCat | DOI | Download (ext.) | arXiv
 

2018 | Preprint | LibreCat-ID: 21634 | OA
Hanke, Sören, Sebastian Peitz, Oliver Wallscheid, Stefan Klus, Joachim Böcker, and Michael Dellnitz. “Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives.” ArXiv:1804.00854, 2018.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.
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2007 | Journal Article | LibreCat-ID: 16648
Padberg, Kathrin, Thilo Hauff, Frank Jenko, and Oliver Junge. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” New Journal of Physics, 2007, 400–400. https://doi.org/10.1088/1367-2630/9/11/400.
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2009 | Journal Article | LibreCat-ID: 16649
Padberg, Kathrin, Bianca Thiere, Robert Preis, and Michael Dellnitz. “Local Expansion Concepts for Detecting Transport Barriers in Dynamical Systems.” Communications in Nonlinear Science and Numerical Simulation, 2009, 4176–90. https://doi.org/10.1016/j.cnsns.2009.03.018.
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2013 | Book Chapter | LibreCat-ID: 16599
Froyland, Gary. “Markov Modelling for Random Dynamical Systems.” In Equadiff 99, 2013. https://doi.org/10.1142/9789812792617_0200.
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2017 | Journal Article | LibreCat-ID: 21938
Nüske, Feliks, Hao Wu, Jan-Hendrik Prinz, Christoph Wehmeyer, Cecilia Clementi, and Frank Noé. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.” The Journal of Chemical Physics, 2017. https://doi.org/10.1063/1.4976518.
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1992 | Book Chapter | LibreCat-ID: 16546
Dellnitz, Michael, Martin Golubitsky, and Ian Melbourne. “Mechanisms of Symmetry Creation.” In Bifurcation and Symmetry. Basel, 1992. https://doi.org/10.1007/978-3-0348-7536-3_9.
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2014 | Book Chapter | LibreCat-ID: 16679
Anacker, Harald, Michael Dellnitz, Kathrin Flaßkamp, Stefan Groesbrink, Philip Hartmann, Christian Heinzemann, Christian Horenkamp, et al. “Methods for the Design and Development.” In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg, 2014. https://doi.org/10.1007/978-3-642-45435-6_5.
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” In Mathematics in Industry. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-25100-9_14.
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2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz, Michael, Florian Dignath, Kathrin Flaßkamp, Mirko Hessel-von Molo, Martin Krüger, Robert Timmermann, and Qinghua Zheng. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” In Mathematics in Industry. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-25100-9_14.
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2006 | Conference Paper | LibreCat-ID: 16528
Dell’Aere, Alessandro. “Multi-Objective Optimization in Self-Optimizing Systems.” In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006. https://doi.org/10.1109/iecon.2006.348080.
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2009 | Conference Paper | LibreCat-ID: 16695
Wang, Fang, and Michael Dellnitz. “Multi-Objective Shape Optimization for Piezoceramics.” In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009. https://doi.org/10.1109/spawda.2008.4775823.
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2022 | Preprint | LibreCat-ID: 33150 | OA
Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022.
LibreCat | Download (ext.) | arXiv
 

2012 | Book Chapter | LibreCat-ID: 16681
Dellnitz, Michael, and Oliver Schütze. “Multilevel Subdivision Techniques for Scalar Optimization Problems.” In Global Analysis of Nonlinear Dynamics. New York, NY, 2012. https://doi.org/10.1007/978-1-4614-3128-2_10.
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2016 | Conference Paper | LibreCat-ID: 8759
Peitz, Sebastian, Manuel Gräler, Christian Henke, Mirko Hessel-von Molo, Michael Dellnitz, and Ansgar Trächtler. “Multiobjective Model Predictive Control of an Industrial Laundry.” In Procedia Technology, 483–90, 2016. https://doi.org/10.1016/j.protcy.2016.08.061.
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2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Progress in Industrial Mathematics at ECMI, 22:633–41. Mathematics in Industry. Cham: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
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2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel, Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” In Mathematics in Industry. Cham, 2016. https://doi.org/10.1007/978-3-319-23413-7_87.
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2018 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae 161, no. 1 (2018): 171–199. https://doi.org/10.1007/s10440-018-0209-7.
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2015 | Journal Article | LibreCat-ID: 16642
Ober-Blöbaum, Sina, and Kathrin Padberg-Gehle. “Multiobjective Optimal Control of Fluid Mixing.” PAMM, 2015, 639–40. https://doi.org/10.1002/pamm.201510309.
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2009 | Conference Paper | LibreCat-ID: 16524
Blesken, Matthias, Ulrich Ruckert, Dominik Steenken, Katrin Witting, and Michael Dellnitz. “Multiobjective Optimization for Transistor Sizing of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” In 2009 NORCHIP, 2009. https://doi.org/10.1109/norchp.2009.5397800.
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2008 | Journal Article | LibreCat-ID: 16610
Geisler, M.Sc. Jens, Dipl.-Math. Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-Bound Vehicle.” IFAC Proceedings Volumes, 2008, 4380–86. https://doi.org/10.3182/20080706-5-kr-1001.00738.
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2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
LibreCat | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 1774
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” PAMM 15, no. 1 (2015): 613–14. https://doi.org/10.1002/pamm.201510296.
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2015 | Conference Paper | LibreCat-ID: 8760
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” In PAMM, 613–14, 2015. https://doi.org/10.1002/pamm.201510296.
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2004 | Journal Article | LibreCat-ID: 16521
Bezrukov, S., R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich. “New Spectral Lower Bounds on the Bisection Width of Graphs.” Theoretical Computer Science, 2004, 155–74. https://doi.org/10.1016/j.tcs.2004.03.059.
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2012 | Book Chapter | LibreCat-ID: 16516
Baier, Robert, and Mirko Hessel-von Molo. “Newton’s Method and Secant Method for Set-Valued Mappings.” In Large-Scale Scientific Computing. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-29843-1_9.
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1993 | Journal Article | LibreCat-ID: 16633
Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian Vector Fields Commuting with the Action of a Compact Lie Group.” Mathematical Proceedings of the Cambridge Philosophical Society, 1993, 235–68. https://doi.org/10.1017/s0305004100071577.
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2006 | Journal Article | LibreCat-ID: 16560
Dellnitz, Michael, Oliver Junge, Marcus Post, and Bianca Thiere. “On Target for Venus – Set Oriented Computation of Energy Efficient Low Thrust Trajectories.” Celestial Mechanics and Dynamical Astronomy, 2006, 357–70. https://doi.org/10.1007/s10569-006-9008-y.
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” SIAM Journal on Numerical Analysis, 1999, 491–515. https://doi.org/10.1137/s0036142996313002.
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2009 | Journal Article | LibreCat-ID: 16572
Dellnitz, Michael, Gary Froyland, Christian Horenkamp, and Kathrin Padberg. “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.” GAMM-Mitteilungen, 2009, 47–60. https://doi.org/10.1002/gamm.200910004.
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2016 | Journal Article | LibreCat-ID: 16580
Ziessler, Adrian, Mirko Hessel-Von Molo, and Michael Dellnitz. “On the Computation of Attractors for Delay Differential Equations.” Journal of Computational Dynamics, 2016, 5–5. https://doi.org/10.3934/jcd.2016005.
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2023 | Preprint | LibreCat-ID: 44840
Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d.
LibreCat | Files available | Download (ext.) | arXiv
 

2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems 35, no. 2 (2020): 197–215. https://doi.org/10.1080/14689367.2019.1661355.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization 73, no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, Michael, Gary Froyland, and Stefan Sertl. “On the Isolated Spectrum of the Perron-Frobenius Operator.” Nonlinearity, 2000, 1171–88. https://doi.org/10.1088/0951-7715/13/4/310.
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2014 | Conference Paper | LibreCat-ID: 17045
Gail, Tobias, Sigrid Leyendecker, and Sina Ober-Blöbaum. “On the Role of Quadrature Rules and System Dimensions in Variational Multirateintegrators.” In The 3rdJoint International Conference on Multibody System Dynamics, 2014.
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2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization 85, no. 3 (2023): 709–41. https://doi.org/10.1007/s10898-022-01223-2.
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2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.
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2023 | Journal Article | LibreCat-ID: 21199 | OA
Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica 149 (2023). https://doi.org/10.1016/j.automatica.2022.110840.
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2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp, Kathrin, Sina Ober-Blobaum, Tobias Schneider, and Joachim Bocker. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” In 52nd IEEE Conference on Decision and Control, 2014. https://doi.org/10.1109/cdc.2013.6761075.
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2012 | Journal Article | LibreCat-ID: 16593
Flaßkamp, Kathrin, Julia Timmermann, Sina Ober-Blöbaum, Michael Dellnitz, and Ansgar Trächtler. “Optimal Control on Stable Manifolds for a Double Pendulum.” PAMM, 2012, 723–24. https://doi.org/10.1002/pamm.201210350.
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2004 | Journal Article | LibreCat-ID: 16587
Elsässer, Robert, Burkhard Monien, Robert Preis, and Andreas Frommer. “Optimal Diffusion Schemes and Load Balancing on Product Graphs.” Parallel Processing Letters, 2004, 61–73. https://doi.org/10.1142/s0129626404001714.
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2009 | Conference Paper | LibreCat-ID: 16661
Romaus, C., J. Bocker, K. Witting, A. Seifried, and O. Znamenshchykov. “Optimal Energy Management for a Hybrid Energy Storage System Combining Batteries and Double Layer Capacitors.” In 2009 IEEE Energy Conversion Congress and Exposition, 2009. https://doi.org/10.1109/ecce.2009.5316428.
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2006 | Conference Paper | LibreCat-ID: 16618
Junge, O., and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Satellites.” In Proceedings of the 44th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2005.1582132.
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2006 | Conference Paper | LibreCat-ID: 16621
Junge, O., J.E. Marsden, and S. Ober-Blobaum. “Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach.” In Proceedings of the 45th IEEE Conference on Decision and Control, 2006. https://doi.org/10.1109/cdc.2006.376977.
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2013 | Journal Article | LibreCat-ID: 16595
Flaßkamp, Kathrin, Todd Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized Switched Systems.” PAMM, 2013, 401–2. https://doi.org/10.1002/pamm.201310196.
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2011 | Journal Article | LibreCat-ID: 16629
Krüger, Martin, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*.” IFAC Proceedings Volumes, 2011, 12611–19. https://doi.org/10.3182/20110828-6-it-1002.02487.
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, Oliver, Oliver Cuate, Adanay Martín, Sebastian Peitz, and Michael Dellnitz. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.” Engineering Optimization 52, no. 5 (2020): 832–55. https://doi.org/10.1080/0305215x.2019.1617286.
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2015 | Conference Paper | LibreCat-ID: 16622
Keuck, L., N. Frohleke, J. Bocker, and A. Ziessler. “PFC-Control for Improved Inductor Utilization.” In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe), 2015. https://doi.org/10.1109/epe.2015.7309373.
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2018 | Conference Paper | LibreCat-ID: 8757
Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.” In PAMM, 51–54, 2018. https://doi.org/10.1002/pamm.201710015.
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2018 | Journal Article | LibreCat-ID: 21943
Hruska, Eugen, Jayvee R. Abella, Feliks Nüske, Lydia E. Kavraki, and Cecilia Clementi. “Quantitative Comparison of Adaptive Sampling Methods for Protein Dynamics.” The Journal of Chemical Physics, 2018. https://doi.org/10.1063/1.5053582.
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2018 | Journal Article | LibreCat-ID: 21940
Litzinger, Florian, Lorenzo Boninsegna, Hao Wu, Feliks Nüske, Raajen Patel, Richard Baraniuk, Frank Noé, and Cecilia Clementi. “Rapid Calculation of Molecular Kinetics Using Compressed Sensing.” Journal of Chemical Theory and Computation, 2018, 2771–83. https://doi.org/10.1021/acs.jctc.8b00089.
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2015 | Journal Article | LibreCat-ID: 16660
Ringkamp, Maik, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Relaxing Mixed Integer Optimal Control Problems Using a Time Transformation.” PAMM, 2015, 27–30. https://doi.org/10.1002/pamm.201510008.
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2006 | Journal Article | LibreCat-ID: 16674
Thiere, B. “Return Time Dynamics as a Tool for Finding Almost Invariant Sets.” Annals of the New York Academy of Sciences, 2006, 44–54. https://doi.org/10.1196/annals.1370.027.
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2019 | Preprint | LibreCat-ID: 16711 | OA
Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of  Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.
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2001 | Journal Article | LibreCat-ID: 16601
Froyland, Gary, Oliver Junge, and Gunter Ochs. “Rigorous Computation of Topological Entropy with Respect to a Finite Partition.” Physica D: Nonlinear Phenomena, 2001, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0.
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, Oliver. “Rigorous Discretization of Subdivision Techniques.” In Equadiff 99, 2000. https://doi.org/10.1142/9789812792617_0178.
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2022 | Book Chapter | LibreCat-ID: 16296 | OA
Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” In Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian, Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022. https://doi.org/10.1007/978-3-030-79393-7_3.
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2013 | Conference Paper | LibreCat-ID: 17049
Jakobsmeyer, R., R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, and J. Baumeister. “Running Performance Analysis in Basketball Using Recorded Trajectory Data.” In Performance Analysis of Sport IX, Part 8, Routledge, 2013.
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2005 | Conference Paper | LibreCat-ID: 16628
Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network in Space.” In 19th IEEE International Parallel and Distributed Processing Symposium, 2005. https://doi.org/10.1109/ipdps.2005.387.
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2009 | Journal Article | LibreCat-ID: 16573
Dellnitz, M., G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta. “Seasonal Variability of the Subpolar Gyres in the Southern Ocean: A Numerical Investigation Based on Transfer Operators.” Nonlinear Processes in Geophysics, 2009, 655–63. https://doi.org/10.5194/npg-16-655-2009.
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2008 | Conference Paper | LibreCat-ID: 17031
Geisler, Jens, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Self-Optimization of the Guidance Module of a Rail-Bound Vehicle.” In 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
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2017 | Journal Article | LibreCat-ID: 16540
Dellnitz, Michael, and Stefan Klus. “Sensing and Control in Symmetric Networks.” Dynamical Systems, 2017, 61–79. https://doi.org/10.1080/14689367.2016.1215410.
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2007 | Conference Paper | LibreCat-ID: 16561
Dellnitz, Michael, Kathrin Padberg, Marcus Post, and Bianca Thiere. “Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems.” In AIP Conference Proceedings, 2007. https://doi.org/10.1063/1.2710046.
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2013 | Book Chapter | LibreCat-ID: 16670
Schütze, Oliver, Katrin Witting, Sina Ober-Blöbaum, and Michael Dellnitz. “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, 2013. https://doi.org/10.1007/978-3-642-32726-1_5.
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods for Dynamical Systems.” In Handbook of Dynamical Systems, 2002. https://doi.org/10.1016/s1874-575x(02)80026-1.
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2006 | Book Chapter | LibreCat-ID: 16539
Dellnitz, Michael, and Oliver Junge. “Set Oriented Numerical Methods in Space Mission Design.” In Elsevier Astrodynamics Series, 2006. https://doi.org/10.1016/s1874-9305(07)80007-0.
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2018 | Book Chapter | LibreCat-ID: 8754
Beermann, Dennis, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition.” In Reduced-Order Modeling (ROM) for Simulation and Optimization, 47–72. Cham, 2018. https://doi.org/10.1007/978-3-319-75319-5_3.
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2012 | Journal Article | LibreCat-ID: 16592
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures.” Journal of Nonlinear Science, 2012, 599–629. https://doi.org/10.1007/s00332-012-9140-7.
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2010 | Journal Article | LibreCat-ID: 16590
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal Control Problems by Using Inherent Dynamical Properties.” PAMM, 2010, 577–78. https://doi.org/10.1002/pamm.201010281.
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 16673
Tantardini, Marco, Elena Fantino, Yuan Ren, Pierpaolo Pergola, Gerard Gómez, and Josep J. Masdemont. “Spacecraft Trajectories to the L3 Point of the Sun–Earth Three-Body Problem.” Celestial Mechanics and Dynamical Astronomy, 2010, 215–32. https://doi.org/10.1007/s10569-010-9299-x.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 21942
Boninsegna, Lorenzo, Feliks Nüske, and Cecilia Clementi. “Sparse Learning of Stochastic Dynamical Equations.” The Journal of Chemical Physics, 2018. https://doi.org/10.1063/1.5018409.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 21820 | OA
Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.” Entropy, 2021. https://doi.org/10.3390/e23020134.
LibreCat | DOI | Download (ext.)
 

2007 | Report | LibreCat-ID: 17028
Vasile, Massimiliano, Oliver Schütze, Oliver Junge, Gimbardo Radice, and Michael Dellnitz. Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency, 2007.
LibreCat
 

1995 | Journal Article | LibreCat-ID: 16551
Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart. “Spirals in Scalar Reaction–Diffusion Equations.” International Journal of Bifurcation and Chaos, 1995, 1487–1501. https://doi.org/10.1142/s0218127495001149.
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 17034
Hage-Packhäuser, Sebastian, and Michael Dellnitz. “Stabilization via Symmetry Switching in Hybrid Dynamical Systems.” Discrete & Continuous Dynamical Systems - B 16, no. 1 (2011): 239–63. https://doi.org/10.3934/dcdsb.2011.16.239.
LibreCat | DOI
 

2012 | Conference Paper | LibreCat-ID: 16591
Flasskamp, Kathrin, Todd Murphey, and Sina Ober-Blobaum. “Switching Time Optimization in Discretized Hybrid Dynamical Systems.” In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012. https://doi.org/10.1109/cdc.2012.6426414.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 24170
Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.” Machine Learning: Science and Technology, 2021. https://doi.org/10.1088/2632-2153/ac14ad.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16636
Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.” IFAC Proceedings Volumes, 2009, 68–73. https://doi.org/10.3182/20090916-3-es-3003.00013.
LibreCat | DOI
 

2011 | Journal Article | LibreCat-ID: 16639
Meyer, A., M. Dellnitz, and M. Hessel-von Molo. “Symmetries in Timed Continuous Petri Nets.” Nonlinear Analysis: Hybrid Systems, 2011, 125–35. https://doi.org/10.1016/j.nahs.2010.05.005.
LibreCat | DOI
 

1995 | Journal Article | LibreCat-ID: 16510
Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of Chaotic Attractors.” International Journal of Bifurcation and Chaos, 1995, 1643–76. https://doi.org/10.1142/s021812749500123x.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 17039
Flasskamp, Kathrin, Sebastian Hage-Packhäuser, and Sina Ober-Blöbaum. “Symmetry Exploiting Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics 2, no. 1 (2015): 25–50. https://doi.org/10.3934/jcd.2015.2.25.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-51264-4_9.
LibreCat | DOI
 

1994 | Book Chapter | LibreCat-ID: 16549
Dellnitz, Michael, Martin Golubitsky, and Matthew Nicol. “Symmetry of Attractors and the Karhunen-Loève Decomposition.” In Trends and Perspectives in Applied Mathematics. New York, NY, 1994. https://doi.org/10.1007/978-1-4612-0859-4_4.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16632
Mehta, Prashant G., Mirko Hessel-von Molo, and Michael Dellnitz. “Symmetry of Attractors and the Perron-Frobenius Operator.” Journal of Difference Equations and Applications, 2006, 1147–78. https://doi.org/10.1080/10236190601045788.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16638
Meyer, A., and M. Silva. “Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics.” IFAC Proceedings Volumes, 2012, 153–59. https://doi.org/10.3182/20120606-3-nl-3011.00067.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 24169
Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based Computation of Metastable and Coherent Sets.” Physica D: Nonlinear Phenomena, 2021. https://doi.org/10.1016/j.physd.2021.133018.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8755
Klus, Stefan, Patrick Gelß, Sebastian Peitz, and Christof Schütte. “Tensor-Based Dynamic Mode Decomposition.” Nonlinearity 31, no. 7 (2018): 3359–80. https://doi.org/10.1088/1361-6544/aabc8f.
LibreCat | DOI
 

2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, Michael, Gary Froyland, and Oliver Junge. “The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems.” In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg, 2001. https://doi.org/10.1007/978-3-642-56589-2_7.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.
LibreCat | DOI | Download (ext.)
 

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