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228 Publications


2024 | Journal Article | LibreCat-ID: 52726 | OA
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 17041
High order variational integrators in the optimal control of mechanical systems
C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete & Continuous Dynamical Systems - A 35 (2015) 4193–4223.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 49371
Higher order interactions lead to "reluctant" synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
LibreCat | arXiv
 

2008 | Journal Article | LibreCat-ID: 16667
Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems
O. Schütze, C.A. Coello Coello, S. Mostaghim, E.-G. Talbi, M. Dellnitz, Engineering Optimization (2008) 383–402.
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
LibreCat | DOI | arXiv
 

2018 | Journal Article | LibreCat-ID: 16713
Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics
C. Gölz, C. Voelcker-Rehage, K. Mora, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger, S. Vieluf, Frontiers in Physiology (2018).
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 16696
Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario
A. Zanzottera, G. Mingotti, R. Castelli, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2012) 832–843.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 16295 | OA
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
LibreCat | DOI | Download (ext.)
 

2020 | Journal Article | LibreCat-ID: 21819 | OA
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
LibreCat | DOI | Download (ext.)
 

2022 | Journal Article | LibreCat-ID: 29673 | OA
Koopman analysis of quantum systems
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
LibreCat | DOI | Download (ext.) | arXiv
 

2018 | Preprint | LibreCat-ID: 21634 | OA
Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives
S. Hanke, S. Peitz, O. Wallscheid, S. Klus, J. Böcker, M. Dellnitz, ArXiv:1804.00854 (2018).
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2019 | Journal Article | LibreCat-ID: 10593
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 16648
Lagrangian structures and transport in turbulent magnetized plasmas
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16649
Local expansion concepts for detecting transport barriers in dynamical systems
K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation (2009) 4176–4190.
LibreCat | DOI
 

2013 | Book Chapter | LibreCat-ID: 16599
Markov modelling for random dynamical systems
G. Froyland, in: Equadiff 99, 2013.
LibreCat | DOI
 

2017 | Journal Article | LibreCat-ID: 21938
Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias
F. Nüske, H. Wu, J.-H. Prinz, C. Wehmeyer, C. Clementi, F. Noé, The Journal of Chemical Physics (2017).
LibreCat | DOI
 

1992 | Book Chapter | LibreCat-ID: 16546
Mechanisms of Symmetry Creation
M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry, Basel, 1992.
LibreCat | DOI
 

2014 | Book Chapter | LibreCat-ID: 16679
Methods for the Design and Development
H. Anacker, M. Dellnitz, K. Flaßkamp, S. Groesbrink, P. Hartmann, C. Heinzemann, C. Horenkamp, B. Kleinjohann, L. Kleinjohann, S. Korf, M. Krüger, W. Müller, S. Ober-Blöbaum, S. Oberthür, M. Porrmann, C. Priesterjahn, R. Radkowski, C. Rasche, J. Rieke, M. Ringkamp, K. Stahl, D. Steenken, J. Stöcklein, R. Timmermann, A. Trächtler, K. Witting, T. Xie, S. Ziegert, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16576
Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 17035
Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway
M. Dellnitz, F. Dignath, K. Flaßkamp, M.H. Molo, M. Krüger, R. Timmermann, Q. Zheng, in: Mathematics in Industry, Berlin, Heidelberg, 2012.
LibreCat | DOI
 

2006 | Conference Paper | LibreCat-ID: 16528
Multi-Objective Optimization in Self-Optimizing Systems
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16695
Multi-objective shape optimization for piezoceramics
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
LibreCat | DOI
 

2022 | Preprint | LibreCat-ID: 33150 | OA
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
LibreCat | Download (ext.) | arXiv
 

2012 | Book Chapter | LibreCat-ID: 16681
Multilevel Subdivision Techniques for Scalar Optimization Problems
M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 8759
Multiobjective Model Predictive Control of an Industrial Laundry
S. Peitz, M. Gräler, C. Henke, M.H. Molo, M. Dellnitz, A. Trächtler, in: Procedia Technology, 2016, pp. 483–490.
LibreCat | DOI
 

2016 | Conference Paper | LibreCat-ID: 34
Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics at ECMI, Springer International Publishing, Cham, 2016, pp. 633–641.
LibreCat | DOI
 

2016 | Book Chapter | LibreCat-ID: 16579
Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control
M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler, S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Mathematics in Industry, Cham, 2016.
LibreCat | DOI
 

2018 | Journal Article | LibreCat-ID: 8753
Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.
LibreCat | DOI
 

2015 | Journal Article | LibreCat-ID: 16642
Multiobjective optimal control of fluid mixing
S. Ober-Blöbaum, K. Padberg-Gehle, PAMM (2015) 639–640.
LibreCat | DOI
 

2009 | Conference Paper | LibreCat-ID: 16524
Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques
M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP, 2009.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 16610
Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle
M.S.J. Geisler, D.-M.K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2008) 4380–4386.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 46578 | OA
Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023).
LibreCat | Download (ext.) | arXiv
 

2015 | Journal Article | LibreCat-ID: 1774
Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction
S. Peitz, M. Dellnitz, PAMM 15 (2015) 613–614.
LibreCat | DOI
 

2015 | Conference Paper | LibreCat-ID: 8760
Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction
S. Peitz, M. Dellnitz, in: PAMM, 2015, pp. 613–614.
LibreCat | DOI
 

2004 | Journal Article | LibreCat-ID: 16521
New spectral lower bounds on the bisection width of graphs
S. Bezrukov, R. Elsässer, B. Monien, R. Preis, J.-P. Tillich, Theoretical Computer Science (2004) 155–174.
LibreCat | DOI
 

2012 | Book Chapter | LibreCat-ID: 16516
Newton’s Method and Secant Method for Set-Valued Mappings
R. Baier, M.H. Molo, in: Large-Scale Scientific Computing, Berlin, Heidelberg, 2012.
LibreCat | DOI
 

1993 | Journal Article | LibreCat-ID: 16633
Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group
I. Melbourne, M. Dellnitz, Mathematical Proceedings of the Cambridge Philosophical Society (1993) 235–268.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 16560
On target for Venus – set oriented computation of energy efficient low thrust trajectories
M. Dellnitz, O. Junge, M. Post, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2006) 357–370.
LibreCat | DOI
 

1999 | Journal Article | LibreCat-ID: 16537
On the Approximation of Complicated Dynamical Behavior
M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.
LibreCat | DOI
 

2009 | Journal Article | LibreCat-ID: 16572
On the Approximation of Transport Phenomena - a Dynamical Systems Approach
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009) 47–60.
LibreCat | DOI
 

2016 | Journal Article | LibreCat-ID: 16580
On the computation of attractors for delay differential equations
A. Ziessler, M.H.-V. Molo, M. Dellnitz, Journal of Computational Dynamics (2016) 5–5.
LibreCat | DOI
 

2023 | Preprint | LibreCat-ID: 44840
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
LibreCat | Files available | Download (ext.) | arXiv
 

2020 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
LibreCat | DOI | Download (ext.)
 

2019 | Journal Article | LibreCat-ID: 10595
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
LibreCat | DOI
 

2000 | Journal Article | LibreCat-ID: 16554
On the isolated spectrum of the Perron-Frobenius operator
M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
LibreCat | DOI
 

2014 | Conference Paper | LibreCat-ID: 17045
On the role of quadrature rules and system dimensions in variational multirateintegrators
T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: The 3rdJoint International Conference on Multibody System Dynamics, 2014.
LibreCat
 

2023 | Journal Article | LibreCat-ID: 27426 | OA
On the structure of regularization paths for piecewise differentiable regularization terms
B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023) 709–741.
LibreCat | DOI | Download (ext.)
 

2022 | Journal Article | LibreCat-ID: 20731 | OA
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation
K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (2022) 7797–7808.
LibreCat | Files available | DOI | Download (ext.)
 

2023 | Journal Article | LibreCat-ID: 21199 | OA
On the Universal Transformation of Data-Driven Models to Control Systems
S. Peitz, K. Bieker, Automatica 149 (2023).
LibreCat | DOI | Download (ext.)
 

2014 | Conference Paper | LibreCat-ID: 16596
Optimal control of a switched reluctance drive by a direct method using a discrete variational principle
K. Flasskamp, S. Ober-Blobaum, T. Schneider, J. Bocker, in: 52nd IEEE Conference on Decision and Control, 2014.
LibreCat | DOI
 

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