15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 | 
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.
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| arXiv
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.
2025 | Preprint | LibreCat-ID: 58953 |
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
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
2024 | Journal Article | LibreCat-ID: 52726 |
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
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| DOI
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| arXiv
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
2024 | Preprint | LibreCat-ID: 44840 |
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
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| arXiv
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
2024 | Journal Article | LibreCat-ID: 59171 |
Higher-order interactions lead to ‘reluctant’ synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
LibreCat
| Files available
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S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
2023 | Preprint | LibreCat-ID: 45498
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
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| Download (ext.)
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
2022 | Journal Article | LibreCat-ID: 33264
Amplified steady state bifurcations in feedforward networks
S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
2020 | Misc | LibreCat-ID: 33273
Linear Algebra driven by Data Science
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear Algebra Driven by Data Science, Hamburg Open Online University, 2020.
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T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear Algebra Driven by Data Science, Hamburg Open Online University, 2020.
2020 | Newspaper Article | LibreCat-ID: 33272 |
Generalised Symmetry in Network Dynamics
E. Nijholt, B. Rink, S. Schwenker, DSWeb (2020).
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E. Nijholt, B. Rink, S. Schwenker, DSWeb (2020).
2020 | Journal Article | LibreCat-ID: 33262
A new algorithm for computing idempotents of ℛ-trivial monoids
E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications 20 (2020).
LibreCat
| DOI
| arXiv
E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications 20 (2020).
2020 | Journal Article | LibreCat-ID: 33263
Quiver Representations and Dimension Reduction in Dynamical Systems
E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.
LibreCat
| DOI
| arXiv
E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.
2019 | Dissertation | LibreCat-ID: 33265 |
Genericity in Network Dynamics
S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.
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S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.
2018 | Journal Article | LibreCat-ID: 33261
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.
LibreCat
| DOI
| arXiv
S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.
2016 | Journal Article | LibreCat-ID: 33260
Equivariant bifurcations in four-dimensional fixed point spaces
R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.
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| DOI
| arXiv
R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.
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15 Publications
2025 | Conference Paper | LibreCat-ID: 56298 |
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
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.
2025 | Preprint | LibreCat-ID: 58953 |
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
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
2024 | Journal Article | LibreCat-ID: 52726 |
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
2024 | Preprint | LibreCat-ID: 44840 |
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
LibreCat
| Files available
| Download (ext.)
| arXiv
R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
2024 | Journal Article | LibreCat-ID: 59171 |
Higher-order interactions lead to ‘reluctant’ synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
LibreCat
| Files available
| DOI
S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
2023 | Journal Article | LibreCat-ID: 49326
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
2023 | Preprint | LibreCat-ID: 45498
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
LibreCat
| Download (ext.)
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
2022 | Journal Article | LibreCat-ID: 33264
Amplified steady state bifurcations in feedforward networks
S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
LibreCat
| DOI
| arXiv
S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
2020 | Misc | LibreCat-ID: 33273
Linear Algebra driven by Data Science
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear Algebra Driven by Data Science, Hamburg Open Online University, 2020.
LibreCat
| Download (ext.)
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear Algebra Driven by Data Science, Hamburg Open Online University, 2020.
2020 | Newspaper Article | LibreCat-ID: 33272 |
Generalised Symmetry in Network Dynamics
E. Nijholt, B. Rink, S. Schwenker, DSWeb (2020).
LibreCat
| Download (ext.)
E. Nijholt, B. Rink, S. Schwenker, DSWeb (2020).
2020 | Journal Article | LibreCat-ID: 33262
A new algorithm for computing idempotents of ℛ-trivial monoids
E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications 20 (2020).
LibreCat
| DOI
| arXiv
E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications 20 (2020).
2020 | Journal Article | LibreCat-ID: 33263
Quiver Representations and Dimension Reduction in Dynamical Systems
E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.
LibreCat
| DOI
| arXiv
E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.
2019 | Dissertation | LibreCat-ID: 33265 |
Genericity in Network Dynamics
S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.
LibreCat
| Download (ext.)
S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.
2018 | Journal Article | LibreCat-ID: 33261
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.
LibreCat
| DOI
| arXiv
S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.
2016 | Journal Article | LibreCat-ID: 33260
Equivariant bifurcations in four-dimensional fixed point spaces
R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.
LibreCat
| DOI
| arXiv
R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.