Journal Articles, Conference Proceedings & Preprints
A note on the convergence of deterministic gradient sampling in nonsmooth optimization
B. Gebken, Computational Optimization and Applications (2024).
Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems
K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376 (2024).
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
On the Universal Transformation of Data-Driven Models to Control Systems
S. Peitz, K. Bieker, Automatica 149 (2023).
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.
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
Finite-data error bounds for Koopman-based prediction and control
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear Science 33 (2023).
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
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.
Higher order interactions lead to "reluctant" synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping
K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
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).
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael, H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.
Efficient Virtual Design and Testing of Autonomous Vehicles
S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas, A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics, Springer International Publishing, Cham, 2022.
Koopman analysis of quantum systems
S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical 55 (2022) 314002.
Using second-order information in gradient sampling methods for nonsmooth optimization
B. Gebken, ArXiv:2210.04579 (2022).
Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization
B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
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.
Tensor-based computation of metastable and coherent sets
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry
S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults
C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models
M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
Spectral Properties of Effective Dynamics from Conditional Expectations
F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
An efficient descent method for locally Lipschitz multiobjective optimization problems
B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
Explicit multiobjective model predictive control for nonlinear systems with symmetries
S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31(2) (2021) 380–403.
Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
Pareto Explorer: a global/local exploration tool for many-objective optimization problems
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
Deep model predictive flow control with limited sensor data and online learning
K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
Data-Driven Model Predictive Control using Interpolated Koopman Generators
S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30(17) (2020) 7593–7618.
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
Coarse-graining molecular systems by spectral matching
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
Continuous relaxations for the traveling salesman problem
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
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).
Rapid Calculation of Molecular Kinetics Using Compressed Sensing
F. Litzinger, L. Boninsegna, H. Wu, F. Nüske, R. Patel, R. Baraniuk, F. Noé, C. Clementi, Journal of Chemical Theory and Computation (2018) 2771–2783.
Data-Driven Model Reduction and Transfer Operator Approximation
S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Journal of Nonlinear Science (2018) 985–1010.
Sparse learning of stochastic dynamical equations
L. Boninsegna, F. Nüske, C. Clementi, The Journal of Chemical Physics (2018).
Quantitative comparison of adaptive sampling methods for protein dynamics
E. Hruska, J.R. Abella, F. Nüske, L.E. Kavraki, C. Clementi, The Journal of Chemical Physics (2018).
A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems
B. Gebken, S. Peitz, M. Dellnitz, in: Numerical and Evolutionary Optimization – NEO 2017, Cham, 2018.
A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction
S. Peitz, M. Dellnitz, Mathematical and Computational Applications 23 (2018).
Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition
D. Beermann, M. Dellnitz, S. Peitz, S. Volkwein, in: Reduced-Order Modeling (ROM) for Simulation and Optimization, Cham, 2018, pp. 47–72.
Tensor-based dynamic mode decomposition
S. Klus, P. Gelß, S. Peitz, C. Schütte, Nonlinearity 31 (2018) 3359–3380.
POD-based multiobjective optimal control of PDEs with non-smooth objectives
D. Beermann, M. Dellnitz, S. Peitz, S. Volkwein, in: PAMM, 2018, pp. 51–54.
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).
Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control
S. Vieluf, K. Mora, C. Gölz, E.-M. Reuter, B. Godde, M. Dellnitz, C. Reinsberger, C. Voelcker-Rehage, Neuroscience (2018) 203–213.
Transition Manifolds of Complex Metastable Systems
A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, C. Schütte, Journal of Nonlinear Science 28 (2018) 471–512.
Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data
S. Peitz, ArXiv:1801.06419 (2018).
Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions
S. Klus, S. Peitz, I. Schuster, ArXiv:1805.10118 (2018).
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.
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).
Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations
H. Wu, F. Nüske, F. Paul, S. Klus, P. Koltai, F. Noé, The Journal of Chemical Physics (2017).
Gradient-Based Multiobjective Optimization with Uncertainties
S. Peitz, M. Dellnitz, in: NEO 2016, Cham, 2017, pp. 159–182.
A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty
M. Dellnitz, S. Klus, A. Ziessler, SIAM Journal on Applied Dynamical Systems (2017) 120–138.
A Multiobjective MPC Approach for Autonomously Driven Electric Vehicles * *This research was funded by the German Federal Ministry of Education and Research (BMBF) within the Leading-Edge Cluster Intelligent Technical Systems OstWestfalenLippe (it’s OWL).
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, IFAC-PapersOnLine (2017) 8674–8679.
Exploiting structure in multiobjective optimization and optimal control
S. Peitz, Exploiting Structure in Multiobjective Optimization and Optimal Control, 2017.
A multiobjective MPC approach for autonomously driven electric vehicles
S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz, Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC) 50 (2017) 8674–8679.
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.
Variational tensor approach for approximating the rare-event kinetics of macromolecular systems
F. Nüske, R. Schneider, F. Vitalini, F. Noé, The Journal of Chemical Physics (2016).
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.
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.
On the computation of attractors for delay differential equations
A. Ziessler, M.H.-V. Molo, M. Dellnitz, Journal of Computational Dynamics (2016) 5–5.
A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles
J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 2016, pp. 465–472.
Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction
S. Peitz, M. Dellnitz, PAMM 15 (2015) 613–614.
Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction
S. Peitz, M. Dellnitz, in: PAMM, 2015, pp. 613–614.
Discrete variational Lie group formulation of geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, Y. Weinand, Numerische Mathematik (2015) 73–123.
PFC-control for improved inductor utilization
L. Keuck, N. Frohleke, J. Bocker, A. Ziessler, in: 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe), 2015.
Multiobjective optimal control of fluid mixing
S. Ober-Blöbaum, K. Padberg-Gehle, PAMM (2015) 639–640.
Relaxing mixed integer optimal control problems using a time transformation
M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, PAMM (2015) 27–30.
Symmetry exploiting control of hybrid mechanical systems
K. Flasskamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational Dynamics 2 (2015) 25–50.
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.
Variational Approach to Molecular Kinetics
F. Nüske, B.G. Keller, G. Pérez-Hernández, A.S.J.S. Mey, F. Noé, Journal of Chemical Theory and Computation (2014) 1739–1752.
The Paradigm of Self-optimization
M. Dellnitz, R. Dumitrescu, K. Flaßkamp, J. Gausemeier, P. Hartmann, P. Iwanek, S. Korf, M. Krüger, S. Ober-Blöbaum, M. Porrmann, C. Priesterjahn, K. Stahl, A. Trächtler, M. Vaßholz, in: Lecture Notes in Mechanical Engineering, Berlin, Heidelberg, 2014.
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.
Control strategies on stable manifolds for energy-efficient swing-ups of double pendula
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, A. Trächtler, International Journal of Control (2014) 1886–1905.
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.
The computation of convex invariant sets via Newton's method
R. Baier, M. Dellnitz, M. Hessel-von Molo, S. Sertl, I.G. Kevrekidis, Journal of Computational Dynamics 1 (2014) 39–69.
Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration
T. Leitz, S. Ober-Blöbaum, S. Leyendecker, in: Z. Terze (Ed.), Multibody Dynamics, Springer, Cham, 2014.
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.
Variational formulation and structure-preserving discretization ofnonlinear electric circuits
S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical Theory of Networks and Systems, 2014.
A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems
F. Noé, F. Nüske, Multiscale Modeling & Simulation (2013) 635–655.
Asynchronous variational Lie group integration for geometrically exact beam dynamics
F. Demoures, F. Gay-Balmaz, T. Leitz, S. Leyendecker, S. Ober-Blöbaum, T.S. Ratiu, PAMM (2013) 45–46.
Discretized switching time optimization problems
K. Flasskamp, T. Murphey, S. Ober-Blobaum, in: 2013 European Control Conference (ECC), 2013.
Optimization for discretized switched systems
K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, PAMM (2013) 401–402.
Computing time investigations for variational multirate integration
T. Gail, S. Leyendecker, S. Ober-Blöbaum, PAMM (2013) 43–44.
A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties
S. Ober-Blöbaum, A. Seifried, in: 2013 European Control Conference (ECC), 2013.
Set Oriented Methods for the Numerical Treatment of Multiobjective Optimization Problems
O. Schütze, K. Witting, S. Ober-Blöbaum, M. Dellnitz, in: EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation, Berlin, Heidelberg, 2013.
Discrete-time model of an IPMSM based on variational integrators
A. Specht, S. Ober-Blobaum, O. Wallscheid, C. Romaus, J. Bocker, in: 2013 International Electric Machines & Drives Conference, 2013.
A variational approach to define robustness for parametric multiobjective optimization problems
K. Witting, S. Ober-Blöbaum, M. Dellnitz, Journal of Global Optimization (2013) 331–345.
Analysis of team and player performance using recorded trajectory data
R. Timmermann, M. Dellnitz, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
Running performance analysis in basketball using recorded trajectory data
R. Jakobsmeyer, R. Schnittker, R. Timmermann, R. Zorn, U. Rückert, J. Baumeister, in: Performance Analysis of Sport IX, Part 8, Routledge, 2013.
Variational integrators for electric circuits
S. Ober-Blöbaum, M. Tao, M. Cheng, H. Owhadi, J.E. Marsden, Journal of Computational Physics 242 (2013) 498–530.
Newton’s Method and Secant Method for Set-Valued Mappings
R. Baier, M.H. Molo, in: Large-Scale Scientific Computing, Berlin, Heidelberg, 2012.
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.
Energy efficient control for mechanical systems based on inherent dynamical structures
K. Flaskamp, S. Ober-Blobaum, in: 2012 American Control Conference (ACC), 2012.
Switching time optimization in discretized hybrid dynamical systems
K. Flasskamp, T. Murphey, S. Ober-Blobaum, in: 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012.
Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, Journal of Nonlinear Science (2012) 599–629.
Optimal Control on Stable Manifolds for a Double Pendulum
K. Flaßkamp, J. Timmermann, S. Ober-Blöbaum, M. Dellnitz, A. Trächtler, PAMM (2012) 723–724.
Three-dimensional characterization and tracking of an Agulhas Ring
G. Froyland, C. Horenkamp, V. Rossi, N. Santitissadeekorn, A.S. Gupta, Ocean Modelling (2012) 69–75.
Discontinuity Induced Bifurcations in Timed Continuous Petri Nets
A. Meyer, IFAC Proceedings Volumes (2012) 28–33.
Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics
A. Meyer, M. Silva, IFAC Proceedings Volumes (2012) 153–159.
Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
M. Ringkamp, S. Ober-Blöbaum, M. Dellnitz, O. Schütze, Engineering Optimization (2012) 1117–1146.
Multilevel Subdivision Techniques for Scalar Optimization Problems
M. Dellnitz, O. Schütze, in: Global Analysis of Nonlinear Dynamics, New York, NY, 2012.
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.
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.
Variational formulation and optimal control of hybrid lagrangian systems
K. Flaßkamp, S. Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.
An efficient algorithm for the parallel solution of high-dimensional differential equations
S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.
Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*
M. Krüger, K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2011) 12611–12619.
Symmetries in timed continuous Petri nets
A. Meyer, M. Dellnitz, M. Hessel-von Molo, Nonlinear Analysis: Hybrid Systems (2011) 125–135.
Stabilization via symmetry switching in hybrid dynamical systems
S. Hage-Packhäuser, M. Dellnitz, Discrete & Continuous Dynamical Systems - B 16 (2011) 239–263.
Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem
M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.
Solving optimal control problems by using inherent dynamical properties
K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, PAMM (2010) 577–578.
Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem
M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, J.J. Masdemont, Celestial Mechanics and Dynamical Astronomy (2010) 215–232.
Detecting Initial Guesses for Trajectories in the (P)CRTBP
B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist Conference, 2010.
A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009) 303–362.
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.
Computation of robust Pareto points
M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics (2009).
On the Approximation of Transport Phenomena - a Dynamical Systems Approach
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009) 47–60.
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear Processes in Geophysics (2009) 655–663.
A multi-objective approach to the design of low thrust space trajectories using optimal control
M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics and Dynamical Astronomy (2009) 33–59.
Symmetries in Timed Continuous Petri Nets
A. Meyer, M. Dellnitz, IFAC Proceedings Volumes (2009) 68–73.
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.
Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors
C. Romaus, J. Bocker, K. Witting, A. Seifried, O. Znamenshchykov, in: 2009 IEEE Energy Conversion Congress and Exposition, 2009.
Energy transfer via linear doubly-fed motor in different operating modes
T. Schneider, B. Schulz, C. Henke, K. Witting, D. Steenken, J. Bocker, in: 2009 IEEE International Electric Machines and Drives Conference, 2009.
Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach
O. Schütze, M. Vasile, O. Junge, M. Dellnitz, D. Izzo, Engineering Optimization (2009) 155–181.
Multi-objective shape optimization for piezoceramics
F. Wang, M. Dellnitz, in: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications, 2009.
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.
Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems
B. Klöpper, H. Podlogar, J. Gausemeier, K. Witting, in: 2008 19th International Conference on Database and Expert Systems Applications, 2008.
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.
Convergence of stochastic search algorithms to finite size pareto set approximations
O. Schütze, M. Laumanns, C.A. Coello Coello, M. Dellnitz, E.-G. Talbi, Journal of Global Optimization (2008) 559–577.
A new approach for online multiobjective optimization of mechatronic systems
K. Witting, B. Schulz, M. Dellnitz, J. Böcker, N. Fröhleke, International Journal on Software Tools for Technology Transfer (2008) 223–231.
Self-Optimization of the Guidance Module of a Rail-bound Vehicle
J. Geisler, K. Witting, A. Trächtler, M. Dellnitz, in: 7th International Heinz Nixdorf Symposium: Self-Optimizing Mechatronic Systems: Designing the Future, 2008.
Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems
M. Dellnitz, K. Padberg, M. Post, B. Thiere, in: AIP Conference Proceedings, 2007.
Detection of Coherent Oceanic Structures via Transfer Operators
G. Froyland, K. Padberg, M.H. England, A.M. Treguier, Physical Review Letters (2007).
Global Optimal Control of Perturbed Systems
L. Grüne, O. Junge, Journal of Optimization Theory and Applications (2007) 411–429.
Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics
S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, in: Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007.
Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs
B. Monien, R. Preis, in: Mathematical Foundations of Computer Science 2001, Berlin, Heidelberg, 2007.
Lagrangian structures and transport in turbulent magnetized plasmas
K. Padberg, T. Hauff, F. Jenko, O. Junge, New Journal of Physics (2007) 400–400.
Approximation Algorithms for Multilevel Graph Partitioning
R. Preis, B. Monien, S. Schamberger, in: Handbook of Approximation Algorithms and Metaheuristics, 2007.
A Memetic PSO Algorithm for Scalar Optimization Problems
O. Schütze, E. Talbi, G.T. Pulido, C.C. Coello, L.V. Santana-Quintero, in: 2007 IEEE Swarm Intelligence Symposium, 2007.
Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers
M. Vasile, O. Schütze, O. Junge, G. Radice, M. Dellnitz, Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers, European Space Agency, 2007.
Multi-Objective Optimization in Self-Optimizing Systems
A. Dell’Aere, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
Set Oriented Numerical Methods in Space Mission Design
M. Dellnitz, O. Junge, in: Elsevier Astrodynamics Series, 2006.
Graph Algorithms for Dynamical Systems
M. Dellnitz, M.H. Molo, P. Metzner, R. Preis, C. Schütte, in: Analysis, Modeling and Simulation of Multiscale Problems, 2006.
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.
Optimal Reconfiguration of Formation Flying Satellites
O. Junge, S. Ober-Blobaum, in: Proceedings of the 44th IEEE Conference on Decision and Control, 2006.
Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach
O. Junge, J.E. Marsden, S. Ober-Blobaum, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
Energy Management for an Onboard Storage System Based on Multi-Objective Optimization
T. Knoke, C. Romaus, J. Bocker, A. Dell’Aere, K. Witting, in: IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, 2006.
Symmetry of attractors and the Perron-Frobenius operator
P.G. Mehta, M. Hessel-von Molo, M. Dellnitz, Journal of Difference Equations and Applications (2006) 1147–1178.
Upper bounds on the Bisection Width of 3- and 4-regular Graphs
B. Monien, R. Preis, Journal of Discrete Algorithms (2006) 475–498.
Global Optimization using a Dynamical Systems Approach
S. Sertl, M. Dellnitz, Journal of Global Optimization (2006) 569–587.
Return Time Dynamics as a Tool for Finding Almost Invariant Sets
B. Thiere, Annals of the New York Academy of Sciences (2006) 44–54.
Transport in Dynamical Astronomy and Multibody Problems
M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos (2005) 699–727.
Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region
M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D. Ross, B. Thiere, Physical Review Letters (2005).
A set oriented approach to optimal feedback stabilization
L. Grüne, O. Junge, Systems & Control Letters (2005) 169–180.
A Survey of Methods for Computing (un)stable Manifolds of Vector Fields
B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, O. Junge, International Journal of Bifurcation and Chaos (2005) 763–791.
Satellite Formation, a Mobile Sensor Network in Space
A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed Processing Symposium, 2005.
Design and implementation of a hybrid energy supply system for railway vehicles
R. Li, A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O. Znamenshchykov, R. Feldmann, in: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005., 2005.
Covering Pareto Sets by Multilevel Subdivision Techniques
M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and Applications (2005) 113–136.
Global optimization of silicon nanoclusters
I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface Science (2004) 108–113.
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.
A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems
S. Day, O. Junge, K. Mischaikow, SIAM Journal on Applied Dynamical Systems (2004) 117–160.
Optimal Diffusion Schemes and Load Balancing on Product Graphs
R. Elsässer, B. Monien, R. Preis, A. Frommer, Parallel Processing Letters (2004) 61–73.
A set oriented approach to global optimal control
O. Junge, H.M. Osinga, ESAIM: Control, Optimisation and Calculus of Variations (2004) 259–270.
Uncertainty in the dynamics of conservative maps
O. Junge, J.E. Marsden, I. Mezic, in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004.
Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
P.J. Aston, M. Dellnitz, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (2003) 2933–2955.
Congestion and Almost Invariant Sets in Dynamical Systems
M. Dellnitz, R. Preis, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
G. Froyland, M. Dellnitz, SIAM Journal on Scientific Computing (2003) 1839–1863.
A New Data Structure for the Nondominance Problem in Multi-objective Optimization
O. Schütze, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques
O. Schütze, S. Mostaghim, M. Dellnitz, J. Teich, in: Lecture Notes in Computer Science, Berlin, Heidelberg, 2003.
Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, O. Junge, in: Handbook of Dynamical Systems, 2002.
Finding zeros by multilevel subdivision techniques
M. Dellnitz, IMA Journal of Numerical Analysis (2002) 167–185.
Diffusion Schemes for Load Balancing on Heterogeneous Networks
R. Elsässer, B. Monien, R. Preis, Theory of Computing Systems (2002) 305–320.
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
M. Dellnitz, G. Froyland, O. Junge, in: Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg, 2001.
Extracting Dynamical Behavior via Markov Models
G. Froyland, in: Nonlinear Dynamics and Statistics, Boston, MA, 2001.
Rigorous computation of topological entropy with respect to a finite partition
G. Froyland, O. Junge, G. Ochs, Physica D: Nonlinear Phenomena (2001) 68–84.
An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence
O. Junge, Dynamical Systems (2001) 213–222.
The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms
P.J. Aston, M. Dellnitz, in: Equadiff 99, 2000.
A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator
M. Dellnitz, G. Froyland, S. Sertl, in: Equadiff 99, 2000.
On the isolated spectrum of the Perron-Frobenius operator
M. Dellnitz, G. Froyland, S. Sertl, Nonlinearity (2000) 1171–1188.
The computation of an unstable invariant set inside a cylinder containing a knotted flow
M. Dellnitz, O. Junge, M. Rumpf, R. Strzodka, in: Equadiff 99, 2000, pp. 1053--1059.
The computation of lyapunov exponents via spatial integration with application to blowout bifurcations
Show all publications
P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.