Sören von der Gracht

Lehrstuhl für Angewandte Mathematik
soeren.von.der.gracht@uni-paderborn.de
ID
97359

15 Publications

Mark all

[15]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[14]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. In arXiv:2503.07576.
LibreCat | Files available | arXiv
 
[13]
2024 | Journal Article | LibreCat-ID: 52726 | OA
Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2). https://doi.org/10.1093/comnet/cnae009
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. In arXiv:2305.06632.
LibreCat | Files available | Download (ext.) | arXiv
 
[11]
2024 | Journal Article | LibreCat-ID: 59171 | OA
von der Gracht, S., Nijholt, E., & Rink, B. (2024). Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2301). https://doi.org/10.1098/rspa.2023.0945
LibreCat | Files available | DOI
 
[10]
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075
LibreCat | DOI | arXiv
 
[9]
2023 | Preprint | LibreCat-ID: 45498
von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled  oscillator networks. In arXiv:2306.03320.
LibreCat | Download (ext.) | arXiv
 
[8]
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht, S., Nijholt, E., & Rink, B. (2022). Amplified steady state bifurcations in feedforward networks. Nonlinearity, 35(4), 2073–2120. https://doi.org/10.1088/1361-6544/ac5463
LibreCat | DOI | arXiv
 
[7]
2020 | Misc | LibreCat-ID: 33273
Schramm, T., Gasser, I., Schwenker, S., Seiler, R., Lohse, A., & Zobel, K. (2020). Linear Algebra driven by Data Science. Hamburg Open Online University.
LibreCat | Download (ext.)
 
[6]
2020 | Newspaper Article | LibreCat-ID: 33272 | OA
Nijholt, E., Rink, B., & Schwenker, S. (2020). Generalised Symmetry in Network Dynamics. DSWeb, April.
LibreCat | Download (ext.)
 
[5]
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, E., Rink, B., & Schwenker, S. (2020). A new algorithm for computing idempotents of ℛ-trivial monoids. Journal of Algebra and Its Applications, 20(12). https://doi.org/10.1142/s0219498821502273
LibreCat | DOI | arXiv
 
[4]
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, E., Rink, B. W., & Schwenker, S. (2020). Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems, 19(4), 2428–2468. https://doi.org/10.1137/20m1345670
LibreCat | DOI | arXiv
 
[3]
2019 | Dissertation | LibreCat-ID: 33265 | OA
Schwenker, S. (2019). Genericity in Network Dynamics. Universität Hamburg.
LibreCat | Download (ext.)
 
[2]
2018 | Journal Article | LibreCat-ID: 33261
Schwenker, S. (2018). Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. SIAM Journal on Mathematical Analysis, 50(3), 2466–2485. https://doi.org/10.1137/17m116118x
LibreCat | DOI | arXiv
 
[1]
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach, R., & Schwenker, S. (2016). Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems, 32(1), 117–147. https://doi.org/10.1080/14689367.2016.1219696
LibreCat | DOI | arXiv
 
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15 Publications

Mark all

[15]
2025 | Conference Paper | LibreCat-ID: 56298 | OA
Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025). Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility. In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
LibreCat | DOI | Download (ext.) | arXiv
 
[14]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems. In arXiv:2503.07576.
LibreCat | Files available | arXiv
 
[13]
2024 | Journal Article | LibreCat-ID: 52726 | OA
Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network dynamical systems with higher-order interactions. Journal of Complex Networks, 12(2). https://doi.org/10.1093/comnet/cnae009
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies. In arXiv:2305.06632.
LibreCat | Files available | Download (ext.) | arXiv
 
[11]
2024 | Journal Article | LibreCat-ID: 59171 | OA
von der Gracht, S., Nijholt, E., & Rink, B. (2024). Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2301). https://doi.org/10.1098/rspa.2023.0945
LibreCat | Files available | DOI
 
[10]
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075
LibreCat | DOI | arXiv
 
[9]
2023 | Preprint | LibreCat-ID: 45498
von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method for high-order phase reduction in coupled  oscillator networks. In arXiv:2306.03320.
LibreCat | Download (ext.) | arXiv
 
[8]
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht, S., Nijholt, E., & Rink, B. (2022). Amplified steady state bifurcations in feedforward networks. Nonlinearity, 35(4), 2073–2120. https://doi.org/10.1088/1361-6544/ac5463
LibreCat | DOI | arXiv
 
[7]
2020 | Misc | LibreCat-ID: 33273
Schramm, T., Gasser, I., Schwenker, S., Seiler, R., Lohse, A., & Zobel, K. (2020). Linear Algebra driven by Data Science. Hamburg Open Online University.
LibreCat | Download (ext.)
 
[6]
2020 | Newspaper Article | LibreCat-ID: 33272 | OA
Nijholt, E., Rink, B., & Schwenker, S. (2020). Generalised Symmetry in Network Dynamics. DSWeb, April.
LibreCat | Download (ext.)
 
[5]
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, E., Rink, B., & Schwenker, S. (2020). A new algorithm for computing idempotents of ℛ-trivial monoids. Journal of Algebra and Its Applications, 20(12). https://doi.org/10.1142/s0219498821502273
LibreCat | DOI | arXiv
 
[4]
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, E., Rink, B. W., & Schwenker, S. (2020). Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems, 19(4), 2428–2468. https://doi.org/10.1137/20m1345670
LibreCat | DOI | arXiv
 
[3]
2019 | Dissertation | LibreCat-ID: 33265 | OA
Schwenker, S. (2019). Genericity in Network Dynamics. Universität Hamburg.
LibreCat | Download (ext.)
 
[2]
2018 | Journal Article | LibreCat-ID: 33261
Schwenker, S. (2018). Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. SIAM Journal on Mathematical Analysis, 50(3), 2466–2485. https://doi.org/10.1137/17m116118x
LibreCat | DOI | arXiv
 
[1]
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach, R., & Schwenker, S. (2016). Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems, 32(1), 117–147. https://doi.org/10.1080/14689367.2016.1219696
LibreCat | DOI | arXiv
 
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