Raphael Gerlach

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

9 Publications

Mark all

[9]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In: Bonomi S, Galletta L, Rivière Etienne, Schiavoni Valerio, eds. 28th International Conference on Principles of Distributed Systems (OPODIS 2024). Vol 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach R, von der Gracht S. Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. arXiv:250307576. Published online 2025.
LibreCat | Files available | arXiv
 
[7]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. arXiv:230506632.
LibreCat | Files available | Download (ext.) | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
Gerlach R. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems.; 2021. doi:10.17619/UNIPB/1-1278
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Vol 304. Studies in Systems, Decision and Control. Springer International Publishing; 2020:66-85. doi: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. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
Gerlach R, Ziessler A, Eckhardt B, Dellnitz M. A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems. Published online 2020:705-723. doi:10.1137/19m1247139
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019;18(3):1265-1292. doi:10.1137/18m1204395
LibreCat | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. arXiv:190208824. Published online 2019.
LibreCat | Download (ext.) | arXiv
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: AMA

Export / Embed

9 Publications

Mark all

[9]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In: Bonomi S, Galletta L, Rivière Etienne, Schiavoni Valerio, eds. 28th International Conference on Principles of Distributed Systems (OPODIS 2024). Vol 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach R, von der Gracht S. Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. arXiv:250307576. Published online 2025.
LibreCat | Files available | arXiv
 
[7]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. arXiv:230506632.
LibreCat | Files available | Download (ext.) | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
Gerlach R. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems.; 2021. doi:10.17619/UNIPB/1-1278
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Vol 304. Studies in Systems, Decision and Control. Springer International Publishing; 2020:66-85. doi: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. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
Gerlach R, Ziessler A, Eckhardt B, Dellnitz M. A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems. Published online 2020:705-723. doi:10.1137/19m1247139
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019;18(3):1265-1292. doi:10.1137/18m1204395
LibreCat | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. arXiv:190208824. Published online 2019.
LibreCat | Download (ext.) | arXiv
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: AMA

Export / Embed