Raphael Gerlach

Lehrstuhl für Angewandte Mathematik
raphael.gerlach@uni-paderborn.de
ID
32655

9 Publications

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[9]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. In arXiv:2503.07576.
LibreCat | Files available | arXiv
 
[7]
2024 | Preprint | LibreCat-ID: 44840 | OA
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 | Files available | Download (ext.) | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. https://doi.org/10.17619/UNIPB/1-1278
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
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 | DOI | Download (ext.)
 
[4]
2020 | Journal Article | LibreCat-ID: 16712
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 | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
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 | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
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 | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
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 | Download (ext.) | arXiv
 
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9 Publications

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[9]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. In arXiv:2503.07576.
LibreCat | Files available | arXiv
 
[7]
2024 | Preprint | LibreCat-ID: 44840 | OA
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 | Files available | Download (ext.) | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
Gerlach, R. (2021). The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems. https://doi.org/10.17619/UNIPB/1-1278
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
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 | DOI | Download (ext.)
 
[4]
2020 | Journal Article | LibreCat-ID: 16712
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 | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
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 | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
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 | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
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 | Download (ext.) | arXiv
 
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