Gebken, B. (2024). A note on the convergence of deterministic gradient sampling in nonsmooth optimization. Computational Optimization and Applications.https://doi.org/10.1007/s10589-024-00552-0 
LibreCat: /record/51208
DOI: 10.1007/s10589-024-00552-0

Sonntag, K., &; Peitz, S. (2024). Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications.https://doi.org/10.1007/s10957-024-02389-3 
LibreCat: /record/46019
DOI: 10.1007/s10957-024-02389-3

Sonntag, K., Gebken, B., Müller, G., Peitz, S., &; Volkwein, S. (2024). A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. In arXiv:2402.06376.
LibreCat: /record/51334
arXiv: 	2402.06376

Bick, C., &; von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2).https://doi.org/10.1093/comnet/cnae009 
LibreCat: /record/52726
DOI: 10.1093/comnet/cnae009
arXiv: 2309.02006

Peitz, S., &; Bieker, K. (2023). On the Universal Transformation of Data-Driven Models to Control Systems. Automatica, 149, Article 110840.https://doi.org/10.1016/j.automatica.2022.110840 
LibreCat: /record/21199
DOI: 10.1016/j.automatica.2022.110840

Gebken, B., Bieker, K., &; Peitz, S. (2023). On the structure of regularization paths for piecewise differentiable regularization terms. Journal of Global Optimization, 85(3), 709–741.https://doi.org/10.1007/s10898-022-01223-2 
LibreCat: /record/27426
DOI: 10.1007/s10898-022-01223-2

von der Gracht, S., Nijholt, E., &; Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled  oscillator networks. In arXiv:2306.03320.
LibreCat: /record/45498
arXiv: 2306.03320

Nüske, F., Peitz, S., Philipp, F., Schaller, M., &; Worthmann, K. (2023). Finite-data error bounds for Koopman-based prediction and control. Journal of Nonlinear Science, 33, Article 14.https://doi.org/10.1007/s00332-022-09862-1 
LibreCat: /record/23428
DOI: 10.1007/s00332-022-09862-1

Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., &; Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement  learning. SIAM Journal on Scientific Computing, 45(2), 9–5.https://doi.org/10.1137/21M1412682 
LibreCat: /record/21600
DOI: 10.1137/21M1412682
arXiv: arXiv:2104.03562

von der Gracht, S., Nijholt, E., &; Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353.https://doi.org/10.1137/23m1561075 
LibreCat: /record/49326
DOI: 10.1137/23m1561075
arXiv: 2302.08974

von der Gracht, S., Nijholt, E., &; Rink, B. (2023). Higher order interactions lead to ctant” synchrony breaking. In arXiv:2311.17186.
LibreCat: /record/49371
arXiv: 2311.17186

Gerlach, R., von der Gracht, S., &; Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. In arXiv:2305.06632.
LibreCat: /record/44840
arXiv: 2305.06632

Sonntag, K., &; Peitz, S. (2023). Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping. In arXiv:2307.00975.
LibreCat: /record/32447
arXiv: 2307.00975

Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., &; Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113.
LibreCat: /record/46578
arXiv: 2308.01113

Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., &; Volkwein, S. (2022). ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation. In H. Michael, H. Roland, K. Christian, U. Michael, &; U. Stefan (Eds.), Non-Smooth and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer.https://doi.org/10.1007/978-3-030-79393-7_3 
LibreCat: /record/16296
DOI: 10.1007/978-3-030-79393-7_3

Peitz, S., Dellnitz, M., &; Bannenberg, S. (2022). Efficient Virtual Design and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, &; V. Schulz (Eds.), German Success Stories in Industrial Mathematics (Vol. 35). Springer International Publishing.https://doi.org/10.1007/978-3-030-81455-7_23 
LibreCat: /record/30294
DOI: 10.1007/978-3-030-81455-7_23

Klus, S., Nüske, F., &; Peitz, S. (2022). Koopman analysis of quantum systems. Journal of Physics A: Mathematical and Theoretical, 55(31), 314002.https://doi.org/10.1088/1751-8121/ac7d22 
LibreCat: /record/29673
DOI: 10.1088/1751-8121/ac7d22
arXiv: 2201.12062

Gebken, B. (2022). Using second-order information in gradient sampling methods for  nonsmooth optimization. In arXiv:2210.04579.
LibreCat: /record/34618
arXiv: 2210.04579

Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective optimization.https://doi.org/10.17619/UNIPB/1-1327 
LibreCat: /record/31556
DOI: 10.17619/UNIPB/1-1327

Berkemeier, M. B., &; Peitz, S. (2022). Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094.
LibreCat: /record/33150
arXiv: 2208.12094

Bieker, K., Gebken, B., &; Peitz, S. (2022). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808.https://doi.org/10.1109/TPAMI.2021.3114962 
LibreCat: /record/20731
DOI: 10.1109/TPAMI.2021.3114962

Nüske, F., Gelß, P., Klus, S., &; Clementi, C. (2021). Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena, Article 133018.https://doi.org/10.1016/j.physd.2021.133018 
LibreCat: /record/24169
DOI: 10.1016/j.physd.2021.133018

Klus, S., Gelß, P., Nüske, F., &; Noé, F. (2021). Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology, Article 045016.https://doi.org/10.1088/2632-2153/ac14ad 
LibreCat: /record/24170
DOI: 10.1088/2632-2153/ac14ad

Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., &; Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics.https://doi.org/10.1007/s11571-020-09656-9 
LibreCat: /record/21195
DOI: 10.1007/s11571-020-09656-9

Berkemeier, M. B., &; Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models. Mathematical and Computational Applications, 26(2).https://doi.org/10.3390/mca26020031 
LibreCat: /record/21337
DOI: 10.3390/mca26020031

Nüske, F., Koltai, P., Boninsegna, L., &; Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy.https://doi.org/10.3390/e23020134 
LibreCat: /record/21820
DOI: 10.3390/e23020134

Gebken, B., &; Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723.https://doi.org/10.1007/s10957-020-01803-w 
LibreCat: /record/16867
DOI: 10.1007/s10957-020-01803-w

Gebken, B., &; Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29.https://doi.org/10.1007/s10898-020-00983-z 
LibreCat: /record/16295
DOI: 10.1007/s10898-020-00983-z

Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems.https://doi.org/10.17619/UNIPB/1-1278 
LibreCat: /record/32057
DOI: 10.17619/UNIPB/1-1278

Ober-Blöbaum, S., &; Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems  with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403.https://doi.org/10.1002/rnc.5281 
LibreCat: /record/16294
DOI: 10.1002/rnc.5281

Flaßkamp, K., Ober-Blöbaum, S., &; Peitz, S. (2020). Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, &; K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation. Cham: Springer.https://doi.org/10.1007/978-3-030-51264-4_9 
LibreCat: /record/17411
DOI: 10.1007/978-3-030-51264-4_9

Klus, S., Nüske, F., &; Hamzi, B. (2020). Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy.https://doi.org/10.3390/e22070722 
LibreCat: /record/21819
DOI: 10.3390/e22070722

Schütze, O., Cuate, O., Martín, A., Peitz, S., &; Dellnitz, M. (2020). Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization, 52(5), 832–855.https://doi.org/10.1080/0305215x.2019.1617286 
LibreCat: /record/10596
DOI: 10.1080/0305215x.2019.1617286

Klus, S., Nüske, F., Peitz, S., Niemann, J.-H., Clementi, C., &; Schütte, C. (2020). Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena, 406.https://doi.org/10.1016/j.physd.2020.132416 
LibreCat: /record/16288
DOI: 10.1016/j.physd.2020.132416

Peitz, S., &; Klus, S. (2020). Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator. In Lecture Notes in Control and Information Sciences (Vol. 484, pp. 257–282). Cham: Springer.https://doi.org/10.1007/978-3-030-35713-9_10 
LibreCat: /record/16289
DOI: 10.1007/978-3-030-35713-9_10

Bieker, K., Peitz, S., Brunton, S. L., Kutz, J. N., &; Dellnitz, M. (2020). Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics, 34, 577–591.https://doi.org/10.1007/s00162-020-00520-4 
LibreCat: /record/16290
DOI: 10.1007/s00162-020-00520-4

Peitz, S., Otto, S. E., &; Rowley, C. W. (2020). Data-Driven Model Predictive Control using Interpolated Koopman  Generators. SIAM Journal on Applied Dynamical Systems, 19(3), 2162–2193.https://doi.org/10.1137/20M1325678 
LibreCat: /record/16309
DOI: 10.1137/20M1325678

Gerlach, R., Ziessler, A., Eckhardt, B., &; Dellnitz, M. (2020). A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems, 705–723.https://doi.org/10.1137/19m1247139 
LibreCat: /record/16710
DOI: 10.1137/19m1247139

Hernández Castellanos, C. I., Ober-Blöbaum, S., &; Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. International Journal of Robust and Nonlinear Control, 30(17), 7593–7618.https://doi.org/10.1002/rnc.5197 
LibreCat: /record/16297
DOI: 10.1002/rnc.5197

Gerlach, R., &; Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, &; K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 66–85). Springer International Publishing.https://doi.org/10.1007/978-3-030-51264-4_3 
LibreCat: /record/17994
DOI: 10.1007/978-3-030-51264-4_3

Dellnitz, M., Gebken, B., Gerlach, R., &; Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215.https://doi.org/10.1080/14689367.2019.1661355 
LibreCat: /record/16712
DOI: 10.1080/14689367.2019.1661355

Nüske, F., Boninsegna, L., &; Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics.https://doi.org/10.1063/1.5100131 
LibreCat: /record/21944
DOI: 10.1063/1.5100131

Sahai, T., Ziessler, A., Klus, S., &; Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics.https://doi.org/10.1007/s11071-019-05092-5 
LibreCat: /record/16709
DOI: 10.1007/s11071-019-05092-5

Peitz, S., &; Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191.https://doi.org/10.1016/j.automatica.2019.05.016 
LibreCat: /record/10593
DOI: 10.1016/j.automatica.2019.05.016

Gebken, B., Peitz, S., &; Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913.https://doi.org/10.1007/s10898-019-00737-6 
LibreCat: /record/10595
DOI: 10.1007/s10898-019-00737-6

Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., &; Dellnitz, M. (2019). Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification. In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE).https://doi.org/10.1109/precede.2019.8753313 
LibreCat: /record/10597
DOI: 10.1109/precede.2019.8753313

Gerlach, R., Koltai, P., &; Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. In arXiv:1902.08824.
LibreCat: /record/16711

Ziessler, A., Dellnitz, M., &; Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 18(3), 1265–1292.https://doi.org/10.1137/18m1204395 
LibreCat: /record/16708
DOI: 10.1137/18m1204395

Hanke, S., Peitz, S., Wallscheid, O., Klus, S., Böcker, J., &; Dellnitz, M. (2018). Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives. ArXiv:1804.00854.
LibreCat: /record/21634

Litzinger, F., Boninsegna, L., Wu, H., Nüske, F., Patel, R., Baraniuk, R.,https://doi.org/10.1021/acs.jctc.8b00089__Clementi, C. (2018). Rapid Calculation of Molecular Kinetics Using Compressed Sensing. Journal of Chemical Theory and Computation, 2771–2783.https://doi.org/10.1021/acs.jctc.8b00089 
LibreCat: /record/21940
DOI: 10.1021/acs.jctc.8b00089

Klus, S., Nüske, F., Koltai, P., Wu, H., Kevrekidis, I., Schütte, C., &; Noé, F. (2018). Data-Driven Model Reduction and Transfer Operator Approximation. Journal of Nonlinear Science, 985–1010.https://doi.org/10.1007/s00332-017-9437-7 
LibreCat: /record/21941
DOI: 10.1007/s00332-017-9437-7

Boninsegna, L., Nüske, F., &; Clementi, C. (2018). Sparse learning of stochastic dynamical equations. The Journal of Chemical Physics.https://doi.org/10.1063/1.5018409 
LibreCat: /record/21942
DOI: 10.1063/1.5018409

Hruska, E., Abella, J. R., Nüske, F., Kavraki, L. E., &; Clementi, C. (2018). Quantitative comparison of adaptive sampling methods for protein dynamics. The Journal of Chemical Physics.https://doi.org/10.1063/1.5053582 
LibreCat: /record/21943
DOI: 10.1063/1.5053582

Gebken, B., Peitz, S., &; Dellnitz, M. (2018). A Descent Method for Equality and Inequality Constrained Multiobjective Optimization Problems. In Numerical and Evolutionary Optimization – NEO 2017. Cham.https://doi.org/10.1007/978-3-319-96104-0_2 
LibreCat: /record/8750
DOI: 10.1007/978-3-319-96104-0_2

Peitz, S., &; Dellnitz, M. (2018). A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction. Mathematical and Computational Applications, 23(2).https://doi.org/10.3390/mca23020030 
LibreCat: /record/8751
DOI: 10.3390/mca23020030

Beermann, D., Dellnitz, M., Peitz, S., &; Volkwein, S. (2018). Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition. In Reduced-Order Modeling (ROM) for Simulation and Optimization (pp. 47–72). Cham.https://doi.org/10.1007/978-3-319-75319-5_3 
LibreCat: /record/8754
DOI: 10.1007/978-3-319-75319-5_3

Klus, S., Gelß, P., Peitz, S., &; Schütte, C. (2018). Tensor-based dynamic mode decomposition. Nonlinearity, 31(7), 3359–3380.https://doi.org/10.1088/1361-6544/aabc8f 
LibreCat: /record/8755
DOI: 10.1088/1361-6544/aabc8f

Beermann, D., Dellnitz, M., Peitz, S., &; Volkwein, S. (2018). POD-based multiobjective optimal control of PDEs with non-smooth objectives. In PAMM (pp. 51–54).https://doi.org/10.1002/pamm.201710015 
LibreCat: /record/8757
DOI: 10.1002/pamm.201710015

Gölz, C., Voelcker-Rehage, C., Mora, K., Reuter, E.-M., Godde, B., Dellnitz, M.,https://doi.org/10.3389/fphys.2018.01540__Vieluf, S. (2018). Improved Neural Control of Movements Manifests in Expertise-Related Differences in Force Output and Brain Network Dynamics. Frontiers in Physiology.https://doi.org/10.3389/fphys.2018.01540 
LibreCat: /record/16713
DOI: 10.3389/fphys.2018.01540

Vieluf, S., Mora, K., Gölz, C., Reuter, E.-M., Godde, B., Dellnitz, M.,https://doi.org/10.1016/j.neuroscience.2018.07.025__Voelcker-Rehage, C. (2018). Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control. Neuroscience, 203–213.https://doi.org/10.1016/j.neuroscience.2018.07.025 
LibreCat: /record/16714
DOI: 10.1016/j.neuroscience.2018.07.025

Bittracher, A., Koltai, P., Klus, S., Banisch, R., Dellnitz, M., &; Schütte, C. (2018). Transition Manifolds of Complex Metastable Systems. Journal of Nonlinear Science, 28, 471–512.https://doi.org/10.1007/s00332-017-9415-0 
LibreCat: /record/16715
DOI: 10.1007/s00332-017-9415-0

Peitz, S. (2018). Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data. ArXiv:1801.06419.
LibreCat: /record/16292

Klus, S., Peitz, S., &; Schuster, I. (2018). Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions. ArXiv:1805.10118.
LibreCat: /record/16293

Peitz, S., Ober-Blöbaum, S., &; Dellnitz, M. (2018). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae, 161(1), 171–199.https://doi.org/10.1007/s10440-018-0209-7 
LibreCat: /record/8753
DOI: 10.1007/s10440-018-0209-7

Nüske, F., Wu, H., Prinz, J.-H., Wehmeyer, C., Clementi, C., &; Noé, F. (2017). Markov state models from short non-equilibrium simulations—Analysis and correction of estimation bias. The Journal of Chemical Physics.https://doi.org/10.1063/1.4976518 
LibreCat: /record/21938
DOI: 10.1063/1.4976518

Wu, H., Nüske, F., Paul, F., Klus, S., Koltai, P., &; Noé, F. (2017). Variational Koopman models: Slow collective variables and molecular kinetics from short off-equilibrium simulations. The Journal of Chemical Physics.https://doi.org/10.1063/1.4979344 
LibreCat: /record/21939
DOI: 10.1063/1.4979344

Peitz, S., &; Dellnitz, M. (2017). Gradient-Based Multiobjective Optimization with Uncertainties. In NEO 2016 (pp. 159–182). Cham.https://doi.org/10.1007/978-3-319-64063-1_7 
LibreCat: /record/8752
DOI: 10.1007/978-3-319-64063-1_7

Dellnitz, M., &; Klus, S. (2017). Sensing and control in symmetric networks. Dynamical Systems, 61–79.https://doi.org/10.1080/14689367.2016.1215410 
LibreCat: /record/16540
DOI: 10.1080/14689367.2016.1215410

Dellnitz, M., Klus, S., &; Ziessler, A. (2017). A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty. SIAM Journal on Applied Dynamical Systems, 120–138.https://doi.org/10.1137/16m1072735 
LibreCat: /record/16581
DOI: 10.1137/16m1072735

Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., &; Dellnitz, M. (2017). 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). IFAC-PapersOnLine, 8674–8679.https://doi.org/10.1016/j.ifacol.2017.08.1526 
LibreCat: /record/16657
DOI: 10.1016/j.ifacol.2017.08.1526

Peitz, S. (2017).   Exploiting structure in multiobjective optimization and optimal control.https://doi.org/10.17619/UNIPB/1-176 
LibreCat: /record/10594
DOI: 10.17619/UNIPB/1-176

Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., &; Dellnitz, M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles. Proceedings of the 20th World Congress of the International Federation of Automatic Control (IFAC), 50(1), 8674–8679.https://doi.org/10.1016/j.ifacol.2017.08.1526 
LibreCat: /record/8756
DOI: 10.1016/j.ifacol.2017.08.1526

Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U.,https://doi.org/10.1007/978-3-319-23413-7_87__Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Progress in Industrial Mathematics at ECMI (Vol. 22, pp. 633–641). Cham: Springer International Publishing.https://doi.org/10.1007/978-3-319-23413-7_87 
LibreCat: /record/34
DOI: 10.1007/978-3-319-23413-7_87

Nüske, F., Schneider, R., Vitalini, F., &; Noé, F. (2016). Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. The Journal of Chemical Physics.https://doi.org/10.1063/1.4940774 
LibreCat: /record/21937
DOI: 10.1063/1.4940774

Peitz, S., Gräler, M., Henke, C., Molo, M. H., Dellnitz, M., &; Trächtler, A. (2016). Multiobjective Model Predictive Control of an Industrial Laundry. In Procedia Technology (pp. 483–490).https://doi.org/10.1016/j.protcy.2016.08.061 
LibreCat: /record/8759
DOI: 10.1016/j.protcy.2016.08.061

Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler, U.,https://doi.org/10.1007/978-3-319-23413-7_87__Tiemeyer, S. (2016). Multiobjective Optimal Control Methods for the Development of an Intelligent Cruise Control. In Mathematics in Industry. Cham.https://doi.org/10.1007/978-3-319-23413-7_87 
LibreCat: /record/16579
DOI: 10.1007/978-3-319-23413-7_87

Ziessler, A., Molo, M. H.-V., &; Dellnitz, M. (2016). On the computation of attractors for delay differential equations. Journal of Computational Dynamics, 5–5.https://doi.org/10.3934/jcd.2016005 
LibreCat: /record/16580
DOI: 10.3934/jcd.2016005

Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von Molo, M., Ober-Blöbaum, S., &; Dellnitz, M. (2016). A comparison of two predictive approaches to control the longitudinal dynamics of electric vehicles. Procedia Technology, 3rd International Conference on System-Integrated Intelligence: New Challenges for Product and Production Engineering, 26, 465–472.https://doi.org/10.1016/j.protcy.2016.08.059 
LibreCat: /record/8758
DOI: 10.1016/j.protcy.2016.08.059

Peitz, S., &; Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. PAMM, 15(1), 613–614.https://doi.org/10.1002/pamm.201510296 
LibreCat: /record/1774
DOI: 10.1002/pamm.201510296

Peitz, S., &; Dellnitz, M. (2015). Multiobjective Optimization of the Flow Around a Cylinder Using Model Order Reduction. In PAMM (pp. 613–614).https://doi.org/10.1002/pamm.201510296 
LibreCat: /record/8760
DOI: 10.1002/pamm.201510296

Demoures, F., Gay-Balmaz, F., Leyendecker, S., Ober-Blöbaum, S., Ratiu, T. S., &; Weinand, Y. (2015). Discrete variational Lie group formulation of geometrically exact beam dynamics. Numerische Mathematik, 73–123.https://doi.org/10.1007/s00211-014-0659-4 
LibreCat: /record/16582
DOI: 10.1007/s00211-014-0659-4

Keuck, L., Frohleke, N., Bocker, J., &; Ziessler, A. (2015). PFC-control for improved inductor utilization. In 2015 17th European Conference on Power Electronics and Applications (EPE’15 ECCE-Europe).https://doi.org/10.1109/epe.2015.7309373 
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Ober-Blöbaum, S., &; Padberg-Gehle, K. (2015). Multiobjective optimal control of fluid mixing. PAMM, 639–640.https://doi.org/10.1002/pamm.201510309 
LibreCat: /record/16642
DOI: 10.1002/pamm.201510309

Ringkamp, M., Ober-Blöbaum, S., &; Leyendecker, S. (2015). Relaxing mixed integer optimal control problems using a time transformation. PAMM, 27–30.https://doi.org/10.1002/pamm.201510008 
LibreCat: /record/16660
DOI: 10.1002/pamm.201510008

Flasskamp, K., Hage-Packhäuser, S., &; Ober-Blöbaum, S. (2015). Symmetry exploiting control of hybrid mechanical systems. Journal of Computational Dynamics, 2(1), 25–50.https://doi.org/10.3934/jcd.2015.2.25 
LibreCat: /record/17039
DOI: 10.3934/jcd.2015.2.25

Campos, C. M., Ober-Blöbaum, S., &; Trélat, E. (2015). High order variational integrators in the optimal control of mechanical systems. Discrete &; Continuous Dynamical Systems - A, 35(9), 4193–4223.https://doi.org/10.3934/dcds.2015.35.4193 
LibreCat: /record/17041
DOI: 10.3934/dcds.2015.35.4193

Nüske, F., Keller, B. G., Pérez-Hernández, G., Mey, A. S. J. S., &; Noé, F. (2014). Variational Approach to Molecular Kinetics. Journal of Chemical Theory and Computation, 1739–1752.https://doi.org/10.1021/ct4009156 
LibreCat: /record/21936
DOI: 10.1021/ct4009156

Dellnitz, M., Dumitrescu, R., Flaßkamp, K., Gausemeier, J., Hartmann, P., Iwanek, P.,https://doi.org/10.1007/978-3-642-45435-6_1__Vaßholz, M. (2014). The Paradigm of Self-optimization. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-45435-6_1 
LibreCat: /record/16577
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Flasskamp, K., Ober-Blobaum, S., Schneider, T., &; Bocker, J. (2014). Optimal control of a switched reluctance drive by a direct method using a discrete variational principle. In 52nd IEEE Conference on Decision and Control.https://doi.org/10.1109/cdc.2013.6761075 
LibreCat: /record/16596
DOI: 10.1109/cdc.2013.6761075

Flaßkamp, K., Timmermann, J., Ober-Blöbaum, S., &; Trächtler, A. (2014). Control strategies on stable manifolds for energy-efficient swing-ups of double pendula. International Journal of Control, 1886–1905.https://doi.org/10.1080/00207179.2014.893450 
LibreCat: /record/16597
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Anacker, H., Dellnitz, M., Flaßkamp, K., Groesbrink, S., Hartmann, P., Heinzemann, C.,https://doi.org/10.1007/978-3-642-45435-6_5__Ziegert, S. (2014). Methods for the Design and Development. In Lecture Notes in Mechanical Engineering. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-45435-6_5 
LibreCat: /record/16679
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Baier, R., Dellnitz, M., Hessel-von Molo, M., Sertl, S., &; Kevrekidis, I. G. (2014). The computation of convex invariant sets via Newton’s method. Journal of Computational Dynamics, 1(1), 39–69.https://doi.org/10.3934/jcd.2014.1.39 
LibreCat: /record/17043
DOI: 10.3934/jcd.2014.1.39

Leitz, T., Ober-Blöbaum, S., &; Leyendecker, S. (2014). Variational Lie Group Formulation of Geometrically Exact Beam Dynamics: Synchronous and Asynchronous Integration. In Z. Terze (Ed.), Multibody Dynamics. Cham: Springer.https://doi.org/10.1007/978-3-319-07260-9 
LibreCat: /record/17044
DOI: 10.1007/978-3-319-07260-9

Gail, T., Leyendecker, S., &; Ober-Blöbaum, S. (2014). On the role of quadrature rules and system dimensions in variational multirateintegrators. In The 3rdJoint International Conference on Multibody System Dynamics.
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Ober-Blöbaum, S., &; Lindhorst, H. (2014). Variational formulation and structure-preserving discretization ofnonlinear electric circuits. In 21st International Symposium on Mathematical Theory of Networks and Systems.
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Noé, F., &; Nüske, F. (2013). A Variational Approach to Modeling Slow Processes in Stochastic Dynamical Systems. Multiscale Modeling &; Simulation, 635–655.https://doi.org/10.1137/110858616 
LibreCat: /record/21935
DOI: 10.1137/110858616

Demoures, F., Gay-Balmaz, F., Leitz, T., Leyendecker, S., Ober-Blöbaum, S., &; Ratiu, T. S. (2013). Asynchronous variational Lie group integration for geometrically exact beam dynamics. PAMM, 45–46.https://doi.org/10.1002/pamm.201310018 
LibreCat: /record/16583
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Flasskamp, K., Murphey, T., &; Ober-Blobaum, S. (2013). Discretized switching time optimization problems. In 2013 European Control Conference (ECC).https://doi.org/10.23919/ecc.2013.6669577 
LibreCat: /record/16594
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Flaßkamp, K., Murphey, T., &; Ober-Blöbaum, S. (2013). Optimization for discretized switched systems. PAMM, 401–402.https://doi.org/10.1002/pamm.201310196 
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Froyland, G. (2013). Markov modelling for random dynamical systems. In Equadiff 99.https://doi.org/10.1142/9789812792617_0200 
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Gail, T., Leyendecker, S., &; Ober-Blöbaum, S. (2013). Computing time investigations for variational multirate integration. PAMM, 43–44.https://doi.org/10.1002/pamm.201310017 
LibreCat: /record/16608
DOI: 10.1002/pamm.201310017

Ober-Blöbaum, S., &; Seifried, A. (2013). A multiobjective optimization approach for optimal control problems of mechanical systems with uncertainties. In 2013 European Control Conference (ECC).https://doi.org/10.23919/ecc.2013.6669594 
LibreCat: /record/16643
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Schütze, O., Witting, K., Ober-Blöbaum, S., &; Dellnitz, M. (2013). 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.https://doi.org/10.1007/978-3-642-32726-1_5 
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Specht, A., Ober-Blobaum, S., Wallscheid, O., Romaus, C., &; Bocker, J. (2013). Discrete-time model of an IPMSM based on variational integrators. In 2013 International Electric Machines &; Drives Conference.https://doi.org/10.1109/iemdc.2013.6556322 
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Witting, K., Ober-Blöbaum, S., &; Dellnitz, M. (2013). A variational approach to define robustness for parametric multiobjective optimization problems. Journal of Global Optimization, 331–345.https://doi.org/10.1007/s10898-012-9972-6 
LibreCat: /record/16677
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Timmermann, R., &; Dellnitz, M. (2013). Analysis of team and player performance using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
LibreCat: /record/17048

Jakobsmeyer, R., Schnittker, R., Timmermann, R., Zorn, R., Rückert, U., &; Baumeister, J. (2013). Running performance analysis in basketball using recorded trajectory data. In Performance Analysis of Sport IX, Part 8, Routledge.
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Ober-Blöbaum, S., Tao, M., Cheng, M., Owhadi, H., &; Marsden, J. E. (2013). Variational integrators for electric circuits. Journal of Computational Physics, 242, 498–530.https://doi.org/10.1016/j.jcp.2013.02.006 
LibreCat: /record/17050
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Baier, R., &; Molo, M. H. (2012). Newton’s Method and Secant Method for Set-Valued Mappings. In Large-Scale Scientific Computing. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-29843-1_9 
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Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., &; Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-25100-9_14 
LibreCat: /record/16576
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Flaskamp, K., &; Ober-Blobaum, S. (2012). Energy efficient control for mechanical systems based on inherent dynamical structures. In 2012 American Control Conference (ACC).https://doi.org/10.1109/acc.2012.6314820 
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Flasskamp, K., Murphey, T., &; Ober-Blobaum, S. (2012). Switching time optimization in discretized hybrid dynamical systems. In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).https://doi.org/10.1109/cdc.2012.6426414 
LibreCat: /record/16591
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Flaßkamp, K., Ober-Blöbaum, S., &; Kobilarov, M. (2012). Solving Optimal Control Problems by Exploiting Inherent Dynamical Systems Structures. Journal of Nonlinear Science, 599–629.https://doi.org/10.1007/s00332-012-9140-7 
LibreCat: /record/16592
DOI: 10.1007/s00332-012-9140-7

Flaßkamp, K., Timmermann, J., Ober-Blöbaum, S., Dellnitz, M., &; Trächtler, A. (2012). Optimal Control on Stable Manifolds for a Double Pendulum. PAMM, 723–724.https://doi.org/10.1002/pamm.201210350 
LibreCat: /record/16593
DOI: 10.1002/pamm.201210350

Froyland, G., Horenkamp, C., Rossi, V., Santitissadeekorn, N., &; Gupta, A. S. (2012). Three-dimensional characterization and tracking of an Agulhas Ring. Ocean Modelling, 69–75.https://doi.org/10.1016/j.ocemod.2012.05.001 
LibreCat: /record/16603
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Meyer, A. (2012). Discontinuity Induced Bifurcations in Timed Continuous Petri Nets. IFAC Proceedings Volumes, 28–33.https://doi.org/10.3182/20121003-3-mx-4033.00008 
LibreCat: /record/16635
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Meyer, A., &; Silva, M. (2012). Symmetry Reductions in Timed Continuous Petri Nets Under Infinite Server Semantics. IFAC Proceedings Volumes, 153–159.https://doi.org/10.3182/20120606-3-nl-3011.00067 
LibreCat: /record/16638
DOI: 10.3182/20120606-3-nl-3011.00067

Ringkamp, M., Ober-Blöbaum, S., Dellnitz, M., &; Schütze, O. (2012). Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization, 1117–1146.https://doi.org/10.1080/0305215x.2011.634407 
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Dellnitz, M., &; Schütze, O. (2012). Multilevel Subdivision Techniques for Scalar Optimization Problems. In Global Analysis of Nonlinear Dynamics. New York, NY.https://doi.org/10.1007/978-1-4614-3128-2_10 
LibreCat: /record/16681
DOI: 10.1007/978-1-4614-3128-2_10

Zanzottera, A., Mingotti, G., Castelli, R., &; Dellnitz, M. (2012). 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, 832–843.https://doi.org/10.1016/j.cnsns.2011.06.032 
LibreCat: /record/16696
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Dellnitz, M., Dignath, F., Flaßkamp, K., Molo, M. H., Krüger, M., Timmermann, R., &; Zheng, Q. (2012). Modelling and Analysis of the Nonlinear Dynamics of the Transrapid and Its Guideway. In Mathematics in Industry. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-25100-9_14 
LibreCat: /record/17035
DOI: 10.1007/978-3-642-25100-9_14

Flaßkamp, K., &; Ober-Blöbaum, S. (2011). Variational formulation and optimal control of hybrid lagrangian systems. In Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11.https://doi.org/10.1145/1967701.1967736 
LibreCat: /record/16588
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Klus, S., Sahai, T., Liu, C., &; Dellnitz, M. (2011). An efficient algorithm for the parallel solution of high-dimensional differential equations. Journal of Computational and Applied Mathematics, 3053–3062.https://doi.org/10.1016/j.cam.2010.12.026 
LibreCat: /record/16624
DOI: 10.1016/j.cam.2010.12.026

Krüger, M., Witting, K., Trächtler, A., &; Dellnitz, M. (2011). Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. IFAC Proceedings Volumes, 12611–12619.https://doi.org/10.3182/20110828-6-it-1002.02487 
LibreCat: /record/16629
DOI: 10.3182/20110828-6-it-1002.02487

Meyer, A., Dellnitz, M., &; Hessel-von Molo, M. (2011). Symmetries in timed continuous Petri nets. Nonlinear Analysis: Hybrid Systems, 125–135.https://doi.org/10.1016/j.nahs.2010.05.005 
LibreCat: /record/16639
DOI: 10.1016/j.nahs.2010.05.005

Hage-Packhäuser, S., &; Dellnitz, M. (2011). Stabilization via symmetry switching in hybrid dynamical systems. Discrete &; Continuous Dynamical Systems - B, 16(1), 239–263.https://doi.org/10.3934/dcdsb.2011.16.239 
LibreCat: /record/17034
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Dellnitz, M., Padberg, K., Preis, R., &; Thiere, B. (2010). Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In Nonlinear Science and Complexity. Dordrecht.https://doi.org/10.1007/978-90-481-9884-9_12 
LibreCat: /record/16575
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Flaßkamp, K., Ober-Blöbaum, S., &; Kobilarov, M. (2010). Solving optimal control problems by using inherent dynamical properties. PAMM, 577–578.https://doi.org/10.1002/pamm.201010281 
LibreCat: /record/16590
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Tantardini, M., Fantino, E., Ren, Y., Pergola, P., Gómez, G., &; Masdemont, J. J. (2010). Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem. Celestial Mechanics and Dynamical Astronomy, 215–232.https://doi.org/10.1007/s10569-010-9299-x 
LibreCat: /record/16673
DOI: 10.1007/s10569-010-9299-x

Thiere, B., Ober-Blöbaum, S., &; Pergola, P. (2010). Detecting Initial Guesses for Trajectories in the (P)CRTBP. In AIAA/AAS Astrodynamics Specialist Conference.https://doi.org/10.2514/6.2010-7962 
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Biasco, L., &; Di Gregorio, L. (2009). A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis, 303–362.https://doi.org/10.1007/s00205-009-0240-y 
LibreCat: /record/16499
DOI: 10.1007/s00205-009-0240-y

Blesken, M., Ruckert, U., Steenken, D., Witting, K., &; Dellnitz, M. (2009). Multiobjective optimization for transistor sizing of CMOS logic standard cells using set-oriented numerical techniques. In 2009 NORCHIP.https://doi.org/10.1109/norchp.2009.5397800 
LibreCat: /record/16524
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Dellnitz, M., &; Witting, K. (2009). Computation of robust Pareto points. International Journal of Computing Science and Mathematics.https://doi.org/10.1504/ijcsm.2009.027876 
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Dellnitz, M., Froyland, G., Horenkamp, C., &; Padberg, K. (2009). On the Approximation of Transport Phenomena - a Dynamical Systems Approach. GAMM-Mitteilungen, 47–60.https://doi.org/10.1002/gamm.200910004 
LibreCat: /record/16572
DOI: 10.1002/gamm.200910004

Dellnitz, M., Froyland, G., Horenkamp, C., Padberg-Gehle, K., &; Sen Gupta, A. (2009). Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators. Nonlinear Processes in Geophysics, 655–663.https://doi.org/10.5194/npg-16-655-2009 
LibreCat: /record/16573
DOI: 10.5194/npg-16-655-2009

Dellnitz, M., Ober-Blöbaum, S., Post, M., Schütze, O., &; Thiere, B. (2009). A multi-objective approach to the design of low thrust space trajectories using optimal control. Celestial Mechanics and Dynamical Astronomy, 33–59.https://doi.org/10.1007/s10569-009-9229-y 
LibreCat: /record/16574
DOI: 10.1007/s10569-009-9229-y

Meyer, A., &; Dellnitz, M. (2009). Symmetries in Timed Continuous Petri Nets. IFAC Proceedings Volumes, 68–73.https://doi.org/10.3182/20090916-3-es-3003.00013 
LibreCat: /record/16636
DOI: 10.3182/20090916-3-es-3003.00013

Padberg, K., Thiere, B., Preis, R., &; Dellnitz, M. (2009). Local expansion concepts for detecting transport barriers in dynamical systems. Communications in Nonlinear Science and Numerical Simulation, 4176–4190.https://doi.org/10.1016/j.cnsns.2009.03.018 
LibreCat: /record/16649
DOI: 10.1016/j.cnsns.2009.03.018

Romaus, C., Bocker, J., Witting, K., Seifried, A., &; Znamenshchykov, O. (2009). Optimal energy management for a hybrid energy storage system combining batteries and double layer capacitors. In 2009 IEEE Energy Conversion Congress and Exposition.https://doi.org/10.1109/ecce.2009.5316428 
LibreCat: /record/16661
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Schneider, T., Schulz, B., Henke, C., Witting, K., Steenken, D., &; Bocker, J. (2009). Energy transfer via linear doubly-fed motor in different operating modes. In 2009 IEEE International Electric Machines and Drives Conference.https://doi.org/10.1109/iemdc.2009.5075267 
LibreCat: /record/16663
DOI: 10.1109/iemdc.2009.5075267

Schütze, O., Vasile, M., Junge, O., Dellnitz, M., &; Izzo, D. (2009). Designing optimal low-thrust gravity-assist trajectories using space pruning and a multi-objective approach. Engineering Optimization, 155–181.https://doi.org/10.1080/03052150802391734 
LibreCat: /record/16669
DOI: 10.1080/03052150802391734

Wang, F., &; Dellnitz, M. (2009). Multi-objective shape optimization for piezoceramics. In 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications.https://doi.org/10.1109/spawda.2008.4775823 
LibreCat: /record/16695
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Geisler, M. S. J., Witting, D.-M. K., Trächtler, A., &; Dellnitz, M. (2008). Multiobjective Optimization of Control Trajectories for the Guidance of a Rail-bound Vehicle. IFAC Proceedings Volumes, 4380–4386.https://doi.org/10.3182/20080706-5-kr-1001.00738 
LibreCat: /record/16610
DOI: 10.3182/20080706-5-kr-1001.00738

Klöpper, B., Podlogar, H., Gausemeier, J., &; Witting, K. (2008). Domain Spanning Search for the Identification of Solution Patterns for the Conceptual Design of Self-Optimizing Systems. In 2008 19th International Conference on Database and Expert Systems Applications.https://doi.org/10.1109/dexa.2008.111 
LibreCat: /record/16623
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Schütze, O., Coello Coello, C. A., Mostaghim, S., Talbi, E.-G., &; Dellnitz, M. (2008). Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems. Engineering Optimization, 383–402.https://doi.org/10.1080/03052150701821328 
LibreCat: /record/16667
DOI: 10.1080/03052150701821328

Schütze, O., Laumanns, M., Coello Coello, C. A., Dellnitz, M., &; Talbi, E.-G. (2008). Convergence of stochastic search algorithms to finite size pareto set approximations. Journal of Global Optimization, 559–577.https://doi.org/10.1007/s10898-007-9265-7 
LibreCat: /record/16668
DOI: 10.1007/s10898-007-9265-7

Witting, K., Schulz, B., Dellnitz, M., Böcker, J., &; Fröhleke, N. (2008). A new approach for online multiobjective optimization of mechatronic systems. International Journal on Software Tools for Technology Transfer, 223–231.https://doi.org/10.1007/s10009-008-0066-1 
LibreCat: /record/16678
DOI: 10.1007/s10009-008-0066-1

Geisler, J., Witting, K., Trächtler, A., &; Dellnitz, M. (2008). Self-Optimization of the Guidance Module of a Rail-bound Vehicle. In 7th International Heinz Nixdorf Symposium: Self-optimizing Mechatronic Systems: Designing the Future.
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Dellnitz, M., Padberg, K., Post, M., &; Thiere, B. (2007). Set Oriented Approximation of Invariant Manifolds: Review of Concepts for Astrodynamical Problems. In AIP Conference Proceedings.https://doi.org/10.1063/1.2710046 
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Froyland, G., Padberg, K., England, M. H., &; Treguier, A. M. (2007). Detection of Coherent Oceanic Structures via Transfer Operators. Physical Review Letters.https://doi.org/10.1103/physrevlett.98.224503 
LibreCat: /record/16602
DOI: 10.1103/physrevlett.98.224503

Grüne, L., &; Junge, O. (2007). Global Optimal Control of Perturbed Systems. Journal of Optimization Theory and Applications, 411–429.https://doi.org/10.1007/s10957-007-9312-z 
LibreCat: /record/16612
DOI: 10.1007/s10957-007-9312-z

Leyendecker, S., Ober-Blöbaum, S., Marsden, J. E., &; Ortiz, M. (2007). Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics. In Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C.https://doi.org/10.1115/detc2007-34574 
LibreCat: /record/16630
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Monien, B., &; Preis, R. (2007). Upper Bounds on the Bisection Width of 3- and 4-Regular Graphs. In Mathematical Foundations of Computer Science 2001. Berlin, Heidelberg.https://doi.org/10.1007/3-540-44683-4_46 
LibreCat: /record/16640
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Padberg, K., Hauff, T., Jenko, F., &; Junge, O. (2007). Lagrangian structures and transport in turbulent magnetized plasmas. New Journal of Physics, 400–400.https://doi.org/10.1088/1367-2630/9/11/400 
LibreCat: /record/16648
DOI: 10.1088/1367-2630/9/11/400

Preis, R., Monien, B., &; Schamberger, S. (2007). Approximation Algorithms for Multilevel Graph Partitioning. In Handbook of Approximation Algorithms and Metaheuristics.https://doi.org/10.1201/9781420010749.ch60 
LibreCat: /record/16658
DOI: 10.1201/9781420010749.ch60

Schütze, O., Talbi, E., Pulido, G. T., Coello, C. C., &; Santana-Quintero, L. V. (2007). A Memetic PSO Algorithm for Scalar Optimization Problems. In 2007 IEEE Swarm Intelligence Symposium.https://doi.org/10.1109/sis.2007.368036 
LibreCat: /record/16666
DOI: 10.1109/sis.2007.368036

Vasile, M., Schütze, O., Junge, O., Radice, G., &; Dellnitz, M. (2007). Spiral Trajectories in Global Optimisation of Interplanetary and Orbital Transfers. European Space Agency.
LibreCat: /record/17028

Dell’Aere, A. (2006). Multi-Objective Optimization in Self-Optimizing Systems. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.https://doi.org/10.1109/iecon.2006.348080 
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DOI: 10.1109/iecon.2006.348080

Dellnitz, M., &; Junge, O. (2006). Set Oriented Numerical Methods in Space Mission Design. In Elsevier Astrodynamics Series.https://doi.org/10.1016/s1874-9305(07)80007-0 
LibreCat: /record/16539
DOI: 10.1016/s1874-9305(07)80007-0

Dellnitz, M., Molo, M. H., Metzner, P., Preis, R., &; Schütte, C. (2006). Graph Algorithms for Dynamical Systems. In Analysis, Modeling and Simulation of Multiscale Problems.https://doi.org/10.1007/3-540-35657-6_23 
LibreCat: /record/16559
DOI: 10.1007/3-540-35657-6_23

Dellnitz, M., Junge, O., Post, M., &; Thiere, B. (2006). On target for Venus – set oriented computation of energy efficient low thrust trajectories. Celestial Mechanics and Dynamical Astronomy, 357–370.https://doi.org/10.1007/s10569-006-9008-y 
LibreCat: /record/16560
DOI: 10.1007/s10569-006-9008-y

Junge, O., &; Ober-Blobaum, S. (2006). Optimal Reconfiguration of Formation Flying Satellites. In Proceedings of the 44th IEEE Conference on Decision and Control.https://doi.org/10.1109/cdc.2005.1582132 
LibreCat: /record/16618
DOI: 10.1109/cdc.2005.1582132

Junge, O., Marsden, J. E., &; Ober-Blobaum, S. (2006). Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach. In Proceedings of the 45th IEEE Conference on Decision and Control.https://doi.org/10.1109/cdc.2006.376977 
LibreCat: /record/16621
DOI: 10.1109/cdc.2006.376977

Knoke, T., Romaus, C., Bocker, J., Dell’Aere, A., &; Witting, K. (2006). Energy Management for an Onboard Storage System Based on Multi-Objective Optimization. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.https://doi.org/10.1109/iecon.2006.347705 
LibreCat: /record/16626
DOI: 10.1109/iecon.2006.347705

Mehta, P. G., Hessel-von Molo, M., &; Dellnitz, M. (2006). Symmetry of attractors and the Perron-Frobenius operator. Journal of Difference Equations and Applications, 1147–1178.https://doi.org/10.1080/10236190601045788 
LibreCat: /record/16632
DOI: 10.1080/10236190601045788

Monien, B., &; Preis, R. (2006). Upper bounds on the Bisection Width of 3- and 4-regular Graphs. Journal of Discrete Algorithms, 475–498.https://doi.org/10.1016/j.jda.2005.12.009 
LibreCat: /record/16641
DOI: 10.1016/j.jda.2005.12.009

Sertl, S., &; Dellnitz, M. (2006). Global Optimization using a Dynamical Systems Approach. Journal of Global Optimization, 569–587.https://doi.org/10.1007/s10898-005-4384-5 
LibreCat: /record/16671
DOI: 10.1007/s10898-005-4384-5

Thiere, B. (2006). Return Time Dynamics as a Tool for Finding Almost Invariant Sets. Annals of the New York Academy of Sciences, 44–54.https://doi.org/10.1196/annals.1370.027 
LibreCat: /record/16674
DOI: 10.1196/annals.1370.027

Day, S., Junge, O., &; Mischaikow, K. (2005). Towards Automated Chaos Verification. In EQUADIFF 2003.https://doi.org/10.1142/9789812702067_0014 
LibreCat: /record/16525
DOI: 10.1142/9789812702067_0014

Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E.,https://doi.org/10.1142/s0218127405012545__Thiere, B. (2005). Transport in Dynamical Astronomy and Multibody Problems. International Journal of Bifurcation and Chaos, 699–727.https://doi.org/10.1142/s0218127405012545 
LibreCat: /record/16557
DOI: 10.1142/s0218127405012545

Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R.,https://doi.org/10.1103/physrevlett.94.231102__Thiere, B. (2005). Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region. Physical Review Letters.https://doi.org/10.1103/physrevlett.94.231102 
LibreCat: /record/16558
DOI: 10.1103/physrevlett.94.231102

Grüne, L., &; Junge, O. (2005). A set oriented approach to optimal feedback stabilization. Systems &; Control Letters, 169–180.https://doi.org/10.1016/j.sysconle.2004.08.005 
LibreCat: /record/16613
DOI: 10.1016/j.sysconle.2004.08.005

Krauskopf, B., Osinga, H. M., Doedel, E. J., Henderson, M. E., Guckenheimer, J., Vladimirsky, A.,https://doi.org/10.1142/s0218127405012533__Junge, O. (2005). A Survey of Methods for Computing (un)stable Manifolds of Vector Fields. International Journal of Bifurcation and Chaos, 763–791.https://doi.org/10.1142/s0218127405012533 
LibreCat: /record/16627
DOI: 10.1142/s0218127405012533

Krishnamurthy, A., &; Preis, R. (2005). Satellite Formation, a Mobile Sensor Network in Space. In 19th IEEE International Parallel and Distributed Processing Symposium.https://doi.org/10.1109/ipdps.2005.387 
LibreCat: /record/16628
DOI: 10.1109/ipdps.2005.387

Li, R., Pottharst, A., Frohieke, N., Becker, J., Witting, K., Dellnitz, M.,https://doi.org/10.1109/apec.2005.1452979__Feldmann, R. (2005). Design and implementation of a hybrid energy supply system for railway vehicles. In Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005.https://doi.org/10.1109/apec.2005.1452979 
LibreCat: /record/16631
DOI: 10.1109/apec.2005.1452979

Dellnitz, M., Schÿfdtze, O., &; Hestermeyer, T. (2005). Covering Pareto Sets by Multilevel Subdivision Techniques. Journal of Optimization Theory and Applications, 113–136.https://doi.org/10.1007/s10957-004-6468-7 
LibreCat: /record/16684
DOI: 10.1007/s10957-004-6468-7

Chaudhuri, I., Sertl, S., Hajnal, Z., Dellnitz, M., &; Frauenheim, T. (2004). Global optimization of silicon nanoclusters. Applied Surface Science, 108–113.https://doi.org/10.1016/j.apsusc.2003.11.007 
LibreCat: /record/16500
DOI: 10.1016/j.apsusc.2003.11.007

Bezrukov, S., Elsässer, R., Monien, B., Preis, R., &; Tillich, J.-P. (2004). New spectral lower bounds on the bisection width of graphs. Theoretical Computer Science, 155–174.https://doi.org/10.1016/j.tcs.2004.03.059 
LibreCat: /record/16521
DOI: 10.1016/j.tcs.2004.03.059

Day, S., Junge, O., &; Mischaikow, K. (2004). A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems. SIAM Journal on Applied Dynamical Systems, 117–160.https://doi.org/10.1137/030600210 
LibreCat: /record/16527
DOI: 10.1137/030600210

Elsässer, R., Monien, B., Preis, R., &; Frommer, A. (2004). Optimal Diffusion Schemes and Load Balancing on Product Graphs. Parallel Processing Letters, 61–73.https://doi.org/10.1142/s0129626404001714 
LibreCat: /record/16587
DOI: 10.1142/s0129626404001714

Junge, O., &; Osinga, H. M. (2004). A set oriented approach to global optimal control. ESAIM: Control, Optimisation and Calculus of Variations, 259–270.https://doi.org/10.1051/cocv:2004006 
LibreCat: /record/16619
DOI: 10.1051/cocv:2004006

Junge, O., Marsden, J. E., &; Mezic, I. (2004). Uncertainty in the dynamics of conservative maps. In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.041).https://doi.org/10.1109/cdc.2004.1430379 
LibreCat: /record/16620
DOI: 10.1109/cdc.2004.1430379

Aston, P. J., &; Dellnitz, M. (2003). Computation of the dominant Lyapunov exponent via spatial integration using matrix norms. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2933–2955.https://doi.org/10.1098/rspa.2003.1143 
LibreCat: /record/16498
DOI: 10.1098/rspa.2003.1143

Dellnitz, M., &; Preis, R. (2003). Congestion and Almost Invariant Sets in Dynamical Systems. In Lecture Notes in Computer Science. Berlin, Heidelberg.https://doi.org/10.1007/3-540-45084-x_8 
LibreCat: /record/16543
DOI: 10.1007/3-540-45084-x_8

Froyland, G., &; Dellnitz, M. (2003). Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing, 1839–1863.https://doi.org/10.1137/s106482750238911x 
LibreCat: /record/16600
DOI: 10.1137/s106482750238911x

Schütze, O. (2003). A New Data Structure for the Nondominance Problem in Multi-objective Optimization. In Lecture Notes in Computer Science. Berlin, Heidelberg.https://doi.org/10.1007/3-540-36970-8_36 
LibreCat: /record/16664
DOI: 10.1007/3-540-36970-8_36

Schütze, O., Mostaghim, S., Dellnitz, M., &; Teich, J. (2003). Covering Pareto Sets by Multilevel Evolutionary Subdivision Techniques. In Lecture Notes in Computer Science. Berlin, Heidelberg.https://doi.org/10.1007/3-540-36970-8_9 
LibreCat: /record/16665
DOI: 10.1007/3-540-36970-8_9

Dellnitz, M., &; Junge, O. (2002). Set Oriented Numerical Methods for Dynamical Systems. In Handbook of Dynamical Systems.https://doi.org/10.1016/s1874-575x(02)80026-1 
LibreCat: /record/16538
DOI: 10.1016/s1874-575x(02)80026-1

Dellnitz, M. (2002). Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis, 167–185.https://doi.org/10.1093/imanum/22.2.167 
LibreCat: /record/16556
DOI: 10.1093/imanum/22.2.167

Elsässer, R., Monien, B., &; Preis, R. (2002). Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems, 305–320.https://doi.org/10.1007/s00224-002-1056-4 
LibreCat: /record/16586
DOI: 10.1007/s00224-002-1056-4

Dellnitz, M., Froyland, G., &; Junge, O. (2001). The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg.https://doi.org/10.1007/978-3-642-56589-2_7 
LibreCat: /record/16555
DOI: 10.1007/978-3-642-56589-2_7

Froyland, G. (2001). Extracting Dynamical Behavior via Markov Models. In Nonlinear Dynamics and Statistics. Boston, MA.https://doi.org/10.1007/978-1-4612-0177-9_12 
LibreCat: /record/16598
DOI: 10.1007/978-1-4612-0177-9_12

Froyland, G., Junge, O., &; Ochs, G. (2001). Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena, 68–84.https://doi.org/10.1016/s0167-2789(01)00216-0 
LibreCat: /record/16601
DOI: 10.1016/s0167-2789(01)00216-0

Junge, O. (2001). An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems, 213–222.https://doi.org/10.1080/14689360109696233 
LibreCat: /record/16617
DOI: 10.1080/14689360109696233

Aston, P. J., &; Dellnitz, M. (2000). The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In Equadiff 99.https://doi.org/10.1142/9789812792617_0196 
LibreCat: /record/16513
DOI: 10.1142/9789812792617_0196

Dellnitz, M., Froyland, G., &; Sertl, S. (2000). A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In Equadiff 99.https://doi.org/10.1142/9789812792617_0199 
LibreCat: /record/16553
DOI: 10.1142/9789812792617_0199

Dellnitz, M., Froyland, G., &; Sertl, S. (2000). On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 1171–1188.https://doi.org/10.1088/0951-7715/13/4/310 
LibreCat: /record/16554
DOI: 10.1088/0951-7715/13/4/310

Junge, O. (2000). Rigorous discretization of subdivision techniques. In Equadiff 99.https://doi.org/10.1142/9789812792617_0178 
LibreCat: /record/16616
DOI: 10.1142/9789812792617_0178

Dellnitz, M., Junge, O., Rumpf, M., &; Strzodka, R. (2000). The computation of an unstable invariant set inside a cylinder containing a knotted flow. In Equadiff 99 (pp. 1053--1059).https://doi.org/10.1142/9789812792617_0204 
LibreCat: /record/17018
DOI: 10.1142/9789812792617_0204

Aston, P. J., &; Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering, 223–237.https://doi.org/10.1016/s0045-7825(98)00196-0 
LibreCat: /record/16511
DOI: 10.1016/s0045-7825(98)00196-0