Raphael Gerlach

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

9 Publications

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[9]
2025 | Book Chapter | LibreCat-ID: 60048 | OA
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
LibreCat | DOI | Download (ext.) | arXiv
 
[7]
2025 | Preprint | LibreCat-ID: 58953 | OA
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
LibreCat | Files available | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
LibreCat | DOI | Download (ext.)
 
[4]
2020 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
LibreCat | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
LibreCat | Download (ext.) | arXiv
 
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9 Publications

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[9]
2025 | Book Chapter | LibreCat-ID: 60048 | OA
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.
LibreCat | DOI | Download (ext.) | arXiv
 
[8]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
LibreCat | DOI | Download (ext.) | arXiv
 
[7]
2025 | Preprint | LibreCat-ID: 58953 | OA
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
LibreCat | Files available | arXiv
 
[6]
2021 | Dissertation | LibreCat-ID: 32057 | OA
The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems
R. Gerlach, The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.
LibreCat | DOI | Download (ext.)
 
[5]
2020 | Book Chapter | LibreCat-ID: 17994
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.
LibreCat | DOI | Download (ext.)
 
[4]
2020 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.
LibreCat | DOI | Download (ext.)
 
[3]
2020 | Journal Article | LibreCat-ID: 16710
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
LibreCat | DOI | Download (ext.)
 
[2]
2019 | Journal Article | LibreCat-ID: 16708
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.
LibreCat | DOI | Download (ext.)
 
[1]
2019 | Preprint | LibreCat-ID: 16711 | OA
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
LibreCat | Download (ext.) | arXiv
 
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