15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 | 
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.
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| DOI
| Download (ext.)
| arXiv
2025 | Preprint | LibreCat-ID: 58953 |
R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 52726 |
C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.
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| Files available
| DOI
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| arXiv
2024 | Preprint | LibreCat-ID: 44840 |
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
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| arXiv
2024 | Journal Article | LibreCat-ID: 59171 |
S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, 2024, doi: 10.1098/rspa.2023.0945.
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| Files available
| DOI
2023 | Journal Article | LibreCat-ID: 49326
S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 45498
S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320. .
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| arXiv
2022 | Journal Article | LibreCat-ID: 33264
S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120, 2022, doi: 10.1088/1361-6544/ac5463.
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, and K. Zobel, Linear Algebra driven by Data Science. Hamburg Open Online University, 2020.
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2020 | Newspaper Article | LibreCat-ID: 33272 |
E. Nijholt, B. Rink, and S. Schwenker, “Generalised Symmetry in Network Dynamics,” DSWeb, no. April, 2020.
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2020 | Journal Article | LibreCat-ID: 33262
E. Nijholt, B. Rink, and S. Schwenker, “A new algorithm for computing idempotents of ℛ-trivial monoids,” Journal of Algebra and Its Applications, vol. 20, no. 12, 2020, doi: 10.1142/s0219498821502273.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
E. Nijholt, B. W. Rink, and S. Schwenker, “Quiver Representations and Dimension Reduction in Dynamical Systems,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 4, pp. 2428–2468, 2020, doi: 10.1137/20m1345670.
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |
S. Schwenker, Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
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| Download (ext.)
2018 | Journal Article | LibreCat-ID: 33261
S. Schwenker, “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems,” SIAM Journal on Mathematical Analysis, vol. 50, no. 3, pp. 2466–2485, 2018, doi: 10.1137/17m116118x.
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 33260
R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” Dynamical Systems, vol. 32, no. 1, pp. 117–147, 2016, doi: 10.1080/14689367.2016.1219696.
LibreCat
| DOI
| arXiv
15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 |
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.
LibreCat
| DOI
| Download (ext.)
| arXiv
2025 | Preprint | LibreCat-ID: 58953 |
R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
LibreCat
| Files available
| arXiv
2024 | Journal Article | LibreCat-ID: 52726 |
C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2024 | Preprint | LibreCat-ID: 44840 |
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
LibreCat
| Files available
| Download (ext.)
| arXiv
2024 | Journal Article | LibreCat-ID: 59171 |
S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, 2024, doi: 10.1098/rspa.2023.0945.
LibreCat
| Files available
| DOI
2023 | Journal Article | LibreCat-ID: 49326
S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 45498
S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320. .
LibreCat
| Download (ext.)
| arXiv
2022 | Journal Article | LibreCat-ID: 33264
S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120, 2022, doi: 10.1088/1361-6544/ac5463.
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, and K. Zobel, Linear Algebra driven by Data Science. Hamburg Open Online University, 2020.
LibreCat
| Download (ext.)
2020 | Newspaper Article | LibreCat-ID: 33272 |
E. Nijholt, B. Rink, and S. Schwenker, “Generalised Symmetry in Network Dynamics,” DSWeb, no. April, 2020.
LibreCat
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 33262
E. Nijholt, B. Rink, and S. Schwenker, “A new algorithm for computing idempotents of ℛ-trivial monoids,” Journal of Algebra and Its Applications, vol. 20, no. 12, 2020, doi: 10.1142/s0219498821502273.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
E. Nijholt, B. W. Rink, and S. Schwenker, “Quiver Representations and Dimension Reduction in Dynamical Systems,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 4, pp. 2428–2468, 2020, doi: 10.1137/20m1345670.
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |
S. Schwenker, Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
LibreCat
| Download (ext.)
2018 | Journal Article | LibreCat-ID: 33261
S. Schwenker, “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems,” SIAM Journal on Mathematical Analysis, vol. 50, no. 3, pp. 2466–2485, 2018, doi: 10.1137/17m116118x.
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 33260
R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” Dynamical Systems, vol. 32, no. 1, pp. 117–147, 2016, doi: 10.1080/14689367.2016.1219696.
LibreCat
| DOI
| arXiv