9 Publications
2025 | Conference Paper | LibreCat-ID: 56298 | 
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.
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2025 | Preprint | LibreCat-ID: 58953 |
R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
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| arXiv
2024 | Preprint | LibreCat-ID: 44840 |
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
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| arXiv
2021 | Dissertation | LibreCat-ID: 32057 |
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021.
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2020 | Book Chapter | LibreCat-ID: 17994
R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 66–85.
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2020 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
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2020 | Journal Article | LibreCat-ID: 16710
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020, doi: 10.1137/19m1247139.
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2019 | Journal Article | LibreCat-ID: 16708
A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, pp. 1265–1292, 2019, doi: 10.1137/18m1204395.
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2019 | Preprint | LibreCat-ID: 16711 |
R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems,” arXiv:1902.08824. 2019.
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| arXiv
9 Publications
2025 | Conference Paper | LibreCat-ID: 56298 |
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.
LibreCat
| DOI
| Download (ext.)
| arXiv
2025 | Preprint | LibreCat-ID: 58953 |
R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
LibreCat
| Files available
| arXiv
2024 | Preprint | LibreCat-ID: 44840 |
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
LibreCat
| Files available
| Download (ext.)
| arXiv
2021 | Dissertation | LibreCat-ID: 32057 |
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021.
LibreCat
| DOI
| Download (ext.)
2020 | Book Chapter | LibreCat-ID: 17994
R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 66–85.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16710
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020, doi: 10.1137/19m1247139.
LibreCat
| DOI
| Download (ext.)
2019 | Journal Article | LibreCat-ID: 16708
A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, pp. 1265–1292, 2019, doi: 10.1137/18m1204395.
LibreCat
| DOI
| Download (ext.)
2019 | Preprint | LibreCat-ID: 16711 |
R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems,” arXiv:1902.08824. 2019.
LibreCat
| Download (ext.)
| arXiv