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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, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 17041
Campos, Cédric M., et al. “High Order Variational Integrators in the Optimal Control of Mechanical Systems.” Discrete & Continuous Dynamical Systems - A, vol. 35, no. 9, 2015, pp. 4193–223, doi:10.3934/dcds.2015.35.4193.
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2023 | Preprint | LibreCat-ID: 49371
von der Gracht, Sören, et al. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.
LibreCat | arXiv
 

2008 | Journal Article | LibreCat-ID: 16667
Schütze, Oliver, et al. “Hybridizing Evolutionary Strategies with Continuation Methods for Solving Multi-Objective Problems.” Engineering Optimization, 2008, pp. 383–402, doi:10.1080/03052150701821328.
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2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.
LibreCat | DOI | arXiv
 

2018 | Journal Article | LibreCat-ID: 16713
Gölz, Christian, et al. “Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics.” Frontiers in Physiology, 2018, doi:10.3389/fphys.2018.01540.
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2012 | Journal Article | LibreCat-ID: 16696
Zanzottera, A., et al. “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, pp. 832–43, doi: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, vol. 80, Springer, 2021, pp. 3–29, doi:10.1007/s10898-020-00983-z.
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2020 | Journal Article | LibreCat-ID: 21819 | OA
Klus, Stefan, et al. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” Entropy, 722, 2020, doi:10.3390/e22070722.
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2022 | Journal Article | LibreCat-ID: 29673 | OA
Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd., 2022, p. 314002, doi:10.1088/1751-8121/ac7d22.
LibreCat | DOI | Download (ext.) | arXiv
 

2018 | Preprint | LibreCat-ID: 21634 | OA
Hanke, Sören, et al. “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, vol. 106, 2019, pp. 184–91, doi:10.1016/j.automatica.2019.05.016.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 16648
Padberg, Kathrin, et al. “Lagrangian Structures and Transport in Turbulent Magnetized Plasmas.” New Journal of Physics, 2007, pp. 400–400, doi:10.1088/1367-2630/9/11/400.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16649
Padberg, Kathrin, et al. “Local Expansion Concepts for Detecting Transport Barriers in Dynamical Systems.” Communications in Nonlinear Science and Numerical Simulation, 2009, pp. 4176–90, doi:10.1016/j.cnsns.2009.03.018.
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16599
Froyland, Gary. “Markov Modelling for Random Dynamical Systems.” Equadiff 99, 2013, doi:10.1142/9789812792617_0200.
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2017 | Journal Article | LibreCat-ID: 21938
Nüske, Feliks, et al. “Markov State Models from Short Non-Equilibrium Simulations—Analysis and Correction of Estimation Bias.” The Journal of Chemical Physics, 094104, 2017, doi:10.1063/1.4976518.
LibreCat | DOI
 

1992 | Book Chapter | LibreCat-ID: 16546
Dellnitz, Michael, et al. “Mechanisms of Symmetry Creation.” Bifurcation and Symmetry, 1992, doi:10.1007/978-3-0348-7536-3_9.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16679
Anacker, Harald, et al. “Methods for the Design and Development.” Lecture Notes in Mechanical Engineering, 2014, doi:10.1007/978-3-642-45435-6_5.
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2012 | Book Chapter | LibreCat-ID: 16576
Dellnitz, Michael, et al. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” Mathematics in Industry, 2012, doi:10.1007/978-3-642-25100-9_14.
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2012 | Book Chapter | LibreCat-ID: 17035
Dellnitz, Michael, et al. “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway.” Mathematics in Industry, 2012, doi: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.” IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006, doi:10.1109/iecon.2006.348080.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16695
Wang, Fang, and Michael Dellnitz. “Multi-Objective Shape Optimization for Piezoceramics.” 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009, doi: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.” Global Analysis of Nonlinear Dynamics, 2012, doi:10.1007/978-1-4614-3128-2_10.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 8759
Peitz, Sebastian, et al. “Multiobjective Model Predictive Control of an Industrial Laundry.” Procedia Technology, 2016, pp. 483–90, doi:10.1016/j.protcy.2016.08.061.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 34
Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” Progress in Industrial Mathematics at ECMI, vol. 22, Springer International Publishing, 2016, pp. 633–41, doi:10.1007/978-3-319-23413-7_87.
LibreCat | DOI
 

2016 | Book Chapter | LibreCat-ID: 16579
Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control.” Mathematics in Industry, 2016, doi:10.1007/978-3-319-23413-7_87.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8753
Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae, vol. 161, no. 1, 2018, pp. 171–199, doi: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, pp. 639–40, doi:10.1002/pamm.201510309.
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2009 | Conference Paper | LibreCat-ID: 16524
Blesken, Matthias, et al. “Multiobjective Optimization for Transistor Sizing of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” 2009 NORCHIP, 2009, doi:10.1109/norchp.2009.5397800.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16610
Geisler, M. Sc. Jens, et al. “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-Bound Vehicle.” IFAC Proceedings Volumes, 2008, pp. 4380–86, doi:10.3182/20080706-5-kr-1001.00738.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 46578 | OA
Bernreuther, Marco, et al. “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, vol. 15, no. 1, WILEY-VCH Verlag, 2015, pp. 613–14, doi:10.1002/pamm.201510296.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760
Peitz, Sebastian, and Michael Dellnitz. “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction.” PAMM, 2015, pp. 613–14, doi:10.1002/pamm.201510296.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16521
Bezrukov, S., et al. “New Spectral Lower Bounds on the Bisection Width of Graphs.” Theoretical Computer Science, 2004, pp. 155–74, doi:10.1016/j.tcs.2004.03.059.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16516
Baier, Robert, and Mirko Hessel-von Molo. “Newton’s Method and Secant Method for Set-Valued Mappings.” Large-Scale Scientific Computing, 2012, doi:10.1007/978-3-642-29843-1_9.
LibreCat | DOI
 

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, pp. 235–68, doi:10.1017/s0305004100071577.
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2006 | Journal Article | LibreCat-ID: 16560
Dellnitz, Michael, et al. “On Target for Venus – Set Oriented Computation of Energy Efficient Low Thrust Trajectories.” Celestial Mechanics and Dynamical Astronomy, 2006, pp. 357–70, doi: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, pp. 491–515, doi:10.1137/s0036142996313002.
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2009 | Journal Article | LibreCat-ID: 16572
Dellnitz, Michael, et al. “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.” GAMM-Mitteilungen, 2009, pp. 47–60, doi:10.1002/gamm.200910004.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 16580
Ziessler, Adrian, et al. “On the Computation of Attractors for Delay Differential Equations.” Journal of Computational Dynamics, 2016, pp. 5–5, doi:10.3934/jcd.2016005.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 44840
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632.
LibreCat | Files available | Download (ext.) | arXiv
 

2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
LibreCat | DOI
 

2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, Michael, et al. “On the Isolated Spectrum of the Perron-Frobenius Operator.” Nonlinearity, 2000, pp. 1171–88, doi:10.1088/0951-7715/13/4/310.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17045
Gail, Tobias, et al. “On the Role of Quadrature Rules and System Dimensions in Variational Multirateintegrators.” The 3rdJoint International Conference on Multibody System Dynamics, 2014.
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2023 | Journal Article | LibreCat-ID: 27426 | OA
Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization, vol. 85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
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2022 | Journal Article | LibreCat-ID: 20731 | OA
Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808, doi:10.1109/TPAMI.2021.3114962.
LibreCat | Files available | DOI | Download (ext.)
 

2023 | Journal Article | LibreCat-ID: 21199 | OA
Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica, vol. 149, 110840, Elsevier, 2023, doi:10.1016/j.automatica.2022.110840.
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2014 | Conference Paper | LibreCat-ID: 16596
Flasskamp, Kathrin, et al. “Optimal Control of a Switched Reluctance Drive by a Direct Method Using a Discrete Variational Principle.” 52nd IEEE Conference on Decision and Control, 2014, doi:10.1109/cdc.2013.6761075.
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