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228 Publications


2024 | Journal Article | LibreCat-ID: 52726 | OA
C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 17041
C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators in the optimal control of mechanical systems,” Discrete & Continuous Dynamical Systems - A, vol. 35, no. 9, pp. 4193–4223, 2015.
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2023 | Preprint | LibreCat-ID: 49371
S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead to ‘reluctant’ synchrony breaking,” arXiv:2311.17186. 2023.
LibreCat | arXiv
 

2008 | Journal Article | LibreCat-ID: 16667
O. Schütze, C. A. Coello Coello, S. Mostaghim, E.-G. Talbi, and M. Dellnitz, “Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems,” Engineering Optimization, pp. 383–402, 2008.
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2023 | Journal Article | LibreCat-ID: 49326
S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.
LibreCat | DOI | arXiv
 

2018 | Journal Article | LibreCat-ID: 16713
C. Gölz et al., “Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics,” Frontiers in Physiology, 2018.
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2012 | Journal Article | LibreCat-ID: 16696
A. Zanzottera, 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, pp. 832–843, 2012.
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2021 | Journal Article | LibreCat-ID: 16295 | OA
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
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2020 | Journal Article | LibreCat-ID: 21819 | OA
S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” Entropy, 2020.
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2022 | Journal Article | LibreCat-ID: 29673 | OA
S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022, doi: 10.1088/1751-8121/ac7d22.
LibreCat | DOI | Download (ext.) | arXiv
 

2018 | Preprint | LibreCat-ID: 21634 | OA
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, and M. 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
S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
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2007 | Journal Article | LibreCat-ID: 16648
K. Padberg, T. Hauff, F. Jenko, and O. Junge, “Lagrangian structures and transport in turbulent magnetized plasmas,” New Journal of Physics, pp. 400–400, 2007.
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2009 | Journal Article | LibreCat-ID: 16649
K. Padberg, B. Thiere, R. Preis, and M. Dellnitz, “Local expansion concepts for detecting transport barriers in dynamical systems,” Communications in Nonlinear Science and Numerical Simulation, pp. 4176–4190, 2009.
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2013 | Book Chapter | LibreCat-ID: 16599
G. Froyland, “Markov modelling for random dynamical systems,” in Equadiff 99, 2013.
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2017 | Journal Article | LibreCat-ID: 21938
F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, and F. Noé, “Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias,” The Journal of Chemical Physics, 2017.
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1992 | Book Chapter | LibreCat-ID: 16546
M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,” in Bifurcation and Symmetry, Basel, 1992.
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2014 | Book Chapter | LibreCat-ID: 16679
H. Anacker et al., “Methods for the Design and Development,” in Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
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2012 | Book Chapter | LibreCat-ID: 16576
M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
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2012 | Book Chapter | LibreCat-ID: 17035
M. Dellnitz et al., “Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway,” in Mathematics in Industry, Berlin, Heidelberg, 2012.
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2006 | Conference Paper | LibreCat-ID: 16528
A. Dell’Aere, “Multi-Objective Optimization in Self-Optimizing Systems,” in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16695
F. Wang and M. Dellnitz, “Multi-objective shape optimization for piezoceramics,” in 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
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2022 | Preprint | LibreCat-ID: 33150 | OA
M. B. Berkemeier and S. 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
M. Dellnitz and O. Schütze, “Multilevel Subdivision Techniques for Scalar Optimization Problems,” in Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
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2016 | Conference Paper | LibreCat-ID: 8759
S. Peitz, M. Gräler, C. Henke, M. H. Molo, M. Dellnitz, and A. Trächtler, “Multiobjective Model Predictive Control of an Industrial Laundry,” in Procedia Technology, 2016, pp. 483–490.
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2016 | Conference Paper | LibreCat-ID: 34
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in Progress in Industrial Mathematics at ECMI, 2016, vol. 22, pp. 633–641.
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2016 | Book Chapter | LibreCat-ID: 16579
M. Dellnitz et al., “Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control,” in Mathematics in Industry, Cham, 2016.
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2018 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi: 10.1007/s10440-018-0209-7.
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2015 | Journal Article | LibreCat-ID: 16642
S. Ober-Blöbaum and K. Padberg-Gehle, “Multiobjective optimal control of fluid mixing,” PAMM, pp. 639–640, 2015.
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2009 | Conference Paper | LibreCat-ID: 16524
M. Blesken, U. Ruckert, D. Steenken, K. Witting, and M. Dellnitz, “Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques,” in 2009 NORCHIP, 2009.
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2008 | Journal Article | LibreCat-ID: 16610
M. S. J. Geisler, D.-M. K. Witting, A. Trächtler, and M. Dellnitz, “Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle,” IFAC Proceedings Volumes, pp. 4380–4386, 2008.
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2023 | Preprint | LibreCat-ID: 46578 | OA
M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023.
LibreCat | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 1774
S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” PAMM, vol. 15, no. 1, pp. 613–614, 2015.
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2015 | Conference Paper | LibreCat-ID: 8760
S. Peitz and M. Dellnitz, “Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction,” in PAMM, 2015, pp. 613–614.
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2004 | Journal Article | LibreCat-ID: 16521
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich, “New spectral lower bounds on the bisection width of graphs,” Theoretical Computer Science, pp. 155–174, 2004.
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2012 | Book Chapter | LibreCat-ID: 16516
R. Baier and M. H. Molo, “Newton’s Method and Secant Method for Set-Valued Mappings,” in Large-Scale Scientific Computing, Berlin, Heidelberg, 2012.
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1993 | Journal Article | LibreCat-ID: 16633
I. Melbourne and M. Dellnitz, “Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group,” Mathematical Proceedings of the Cambridge Philosophical Society, pp. 235–268, 1993.
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2006 | Journal Article | LibreCat-ID: 16560
M. Dellnitz, O. Junge, M. Post, and B. Thiere, “On target for Venus – set oriented computation of energy efficient low thrust trajectories,” Celestial Mechanics and Dynamical Astronomy, pp. 357–370, 2006.
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1999 | Journal Article | LibreCat-ID: 16537
M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” SIAM Journal on Numerical Analysis, pp. 491–515, 1999.
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2009 | Journal Article | LibreCat-ID: 16572
M. Dellnitz, G. Froyland, C. Horenkamp, and K. Padberg, “On the Approximation of Transport Phenomena - a Dynamical Systems Approach,” GAMM-Mitteilungen, pp. 47–60, 2009.
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2016 | Journal Article | LibreCat-ID: 16580
A. Ziessler, M. H.-V. Molo, and M. Dellnitz, “On the computation of attractors for delay differential equations,” Journal of Computational Dynamics, pp. 5–5, 2016.
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2023 | Preprint | LibreCat-ID: 44840
R. Gerlach, S. von der Gracht, and M. Dellnitz, “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
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
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2019 | Journal Article | LibreCat-ID: 10595
B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913, 2019.
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2000 | Journal Article | LibreCat-ID: 16554
M. Dellnitz, G. Froyland, and S. Sertl, “On the isolated spectrum of the Perron-Frobenius operator,” Nonlinearity, pp. 1171–1188, 2000.
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2014 | Conference Paper | LibreCat-ID: 17045
T. Gail, S. Leyendecker, and S. 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
B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths for piecewise differentiable regularization terms,” Journal of Global Optimization, vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.
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2022 | Journal Article | LibreCat-ID: 20731 | OA
K. Bieker, B. Gebken, and S. Peitz, “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, pp. 7797–7808, 2022, doi: 10.1109/TPAMI.2021.3114962.
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2023 | Journal Article | LibreCat-ID: 21199 | OA
S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” Automatica, vol. 149, Art. no. 110840, 2023, doi: 10.1016/j.automatica.2022.110840.
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2014 | Conference Paper | LibreCat-ID: 16596
K. Flasskamp, S. Ober-Blobaum, T. Schneider, and J. 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.
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