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233 Publications
2025 | Book Chapter | LibreCat-ID: 60048 | 
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” Lecture Notes in Computer Science, Springer Nature Switzerland, 2025, doi:10.1007/978-3-031-91736-3_19.
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| arXiv
2025 | Conference Paper | LibreCat-ID: 56298 |
Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility.” 28th International Conference on Principles of Distributed Systems (OPODIS 2024), edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.OPODIS.2024.13.
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| arXiv
2025 | Preprint | LibreCat-ID: 58953 |
Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems.” ArXiv:2503.07576, 2025.
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| arXiv
2025 | Journal Article | LibreCat-ID: 57472 |
Bot, Radu Ioan, and Konstantin Sonntag. “Inertial Dynamics with Vanishing Tikhonov Regularization for Multobjective Optimization.” Journal of Mathematical Analysis and Applications, 2025.
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| arXiv
2025 | Preprint | LibreCat-ID: 62003 |
von der Gracht, Sören, et al. “Homogeneous Coupled Cell Systems with High-Dimensional Internal Dynamics.” ArXiv:2510.06740.
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| arXiv
2025 | Dissertation | LibreCat-ID: 62750 |
Sonntag, Konstantin. First-Order Methods and Gradient Dynamical Systems for Multiobjective Optimization. Paderborn University, 2025, doi:10.17619/UNIPB/1-2457.
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2024 | Journal Article | LibreCat-ID: 51208
Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.” Computational Optimization and Applications, Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.
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2024 | Journal Article | LibreCat-ID: 46019 |
Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of Optimization Theory and Applications, Springer, 2024, doi:10.1007/s10957-024-02389-3.
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2024 | Preprint | LibreCat-ID: 51334 |
Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
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| arXiv
2024 | Journal Article | LibreCat-ID: 52726 |
Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
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| arXiv
2024 | Journal Article | LibreCat-ID: 32447
Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” SIAM Journal on Optimization, vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86, doi:10.1137/23M1588512.
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2024 | Journal Article | LibreCat-ID: 59171 |
von der Gracht, Sören, et al. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, The Royal Society, 2024, doi:10.1098/rspa.2023.0945.
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2023 | Journal Article | LibreCat-ID: 21199 |
Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica, vol. 149, 110840, Elsevier, 2023, doi:10.1016/j.automatica.2022.110840.
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2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.
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| arXiv
2023 | Preprint | LibreCat-ID: 46578 |
Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
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| arXiv
2023 | Journal Article | LibreCat-ID: 27426 |
Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal of Global Optimization, vol. 85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
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2023 | Preprint | LibreCat-ID: 45498
von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
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| arXiv
2023 | Journal Article | LibreCat-ID: 23428 |
Nüske, Feliks, et al. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.” Journal of Nonlinear Science, vol. 33, 14, 2023, doi:10.1007/s00332-022-09862-1.
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2023 | Journal Article | LibreCat-ID: 21600
Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
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| arXiv
2022 | Book Chapter | LibreCat-ID: 16296 |
Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022, pp. 43–76, doi:10.1007/978-3-030-79393-7_3.
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