9 Publications
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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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
2024 | Preprint | LibreCat-ID: 44840 |
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632.
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| arXiv
2021 | Dissertation | LibreCat-ID: 32057 |
Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021, doi:10.17619/UNIPB/1-1278.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., vol. 304, Springer International Publishing, 2020, pp. 66–85, doi:10.1007/978-3-030-51264-4_3.
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2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach, Raphael, et al. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, pp. 705–23, doi:10.1137/19m1247139.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, 2019, pp. 1265–92, doi:10.1137/18m1204395.
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2019 | Preprint | LibreCat-ID: 16711 |
Gerlach, Raphael, et al. “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 |
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.
LibreCat
| DOI
| Download (ext.)
| 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.
LibreCat
| Files available
| arXiv
2024 | Preprint | LibreCat-ID: 44840 |
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632.
LibreCat
| Files available
| Download (ext.)
| arXiv
2021 | Dissertation | LibreCat-ID: 32057 |
Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. 2021, doi:10.17619/UNIPB/1-1278.
LibreCat
| DOI
| Download (ext.)
2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., vol. 304, Springer International Publishing, 2020, pp. 66–85, doi:10.1007/978-3-030-51264-4_3.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
LibreCat
| DOI
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 16710
Gerlach, Raphael, et al. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, pp. 705–23, doi:10.1137/19m1247139.
LibreCat
| DOI
| Download (ext.)
2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, vol. 18, no. 3, 2019, pp. 1265–92, doi:10.1137/18m1204395.
LibreCat
| DOI
| Download (ext.)
2019 | Preprint | LibreCat-ID: 16711 |
Gerlach, Raphael, et al. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.
LibreCat
| Download (ext.)
| arXiv