15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 |

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
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| DOI
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| arXiv
2025 | Preprint | LibreCat-ID: 58953 |

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
2024 | Journal Article | LibreCat-ID: 52726 |

Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks. 2024;12(2). doi:10.1093/comnet/cnae009
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| arXiv
2024 | Preprint | LibreCat-ID: 44840 |

Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies. arXiv:230506632.
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| arXiv
2024 | Journal Article | LibreCat-ID: 59171 |

von der Gracht S, Nijholt E, Rink B. Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024;480(2301). doi:10.1098/rspa.2023.0945
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2023 | Journal Article | LibreCat-ID: 49326
von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 45498
von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order phase reduction in coupled oscillator networks. arXiv:230603320.
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| arXiv
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in feedforward networks. Nonlinearity. 2022;35(4):2073-2120. doi:10.1088/1361-6544/ac5463
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
Schramm T, Gasser I, Schwenker S, Seiler R, Lohse A, Zobel K. Linear Algebra Driven by Data Science. Hamburg Open Online University; 2020.
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2020 | Newspaper Article | LibreCat-ID: 33272 |

Nijholt E, Rink B, Schwenker S. Generalised Symmetry in Network Dynamics. DSWeb. 2020.
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| Download (ext.)
2020 | Journal Article | LibreCat-ID: 33262
Nijholt E, Rink B, Schwenker S. A new algorithm for computing idempotents of ℛ-trivial monoids. Journal of Algebra and Its Applications. 2020;20(12). doi:10.1142/s0219498821502273
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
Nijholt E, Rink BW, Schwenker S. Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems. 2020;19(4):2428-2468. doi:10.1137/20m1345670
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |

Schwenker S. Genericity in Network Dynamics. Universität Hamburg; 2019.
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2018 | Journal Article | LibreCat-ID: 33261
Schwenker S. Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. SIAM Journal on Mathematical Analysis. 2018;50(3):2466-2485. doi:10.1137/17m116118x
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach R, Schwenker S. Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems. 2016;32(1):117-147. doi:10.1080/14689367.2016.1219696
LibreCat
| DOI
| arXiv
15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 |

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
2025 | Preprint | LibreCat-ID: 58953 |

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
2024 | Journal Article | LibreCat-ID: 52726 |

Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks. 2024;12(2). doi:10.1093/comnet/cnae009
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2024 | Preprint | LibreCat-ID: 44840 |

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
2024 | Journal Article | LibreCat-ID: 59171 |

von der Gracht S, Nijholt E, Rink B. Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024;480(2301). doi:10.1098/rspa.2023.0945
LibreCat
| Files available
| DOI
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 45498
von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order phase reduction in coupled oscillator networks. arXiv:230603320.
LibreCat
| Download (ext.)
| arXiv
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht S, Nijholt E, Rink B. Amplified steady state bifurcations in feedforward networks. Nonlinearity. 2022;35(4):2073-2120. doi:10.1088/1361-6544/ac5463
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
Schramm T, Gasser I, Schwenker S, Seiler R, Lohse A, Zobel K. Linear Algebra Driven by Data Science. Hamburg Open Online University; 2020.
LibreCat
| Download (ext.)
2020 | Newspaper Article | LibreCat-ID: 33272 |

Nijholt E, Rink B, Schwenker S. Generalised Symmetry in Network Dynamics. DSWeb. 2020.
LibreCat
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 33262
Nijholt E, Rink B, Schwenker S. A new algorithm for computing idempotents of ℛ-trivial monoids. Journal of Algebra and Its Applications. 2020;20(12). doi:10.1142/s0219498821502273
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
Nijholt E, Rink BW, Schwenker S. Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems. 2020;19(4):2428-2468. doi:10.1137/20m1345670
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |

Schwenker S. Genericity in Network Dynamics. Universität Hamburg; 2019.
LibreCat
| Download (ext.)
2018 | Journal Article | LibreCat-ID: 33261
Schwenker S. Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. SIAM Journal on Mathematical Analysis. 2018;50(3):2466-2485. doi:10.1137/17m116118x
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach R, Schwenker S. Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems. 2016;32(1):117-147. doi:10.1080/14689367.2016.1219696
LibreCat
| DOI
| arXiv