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, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig, and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” In 28th International Conference on Principles of Distributed Systems (OPODIS 2024), edited by Silvia Bonomi, Letterio Galletta, Etienne Rivière, and Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13.
LibreCat | DOI | Download (ext.) | arXiv
 
[14]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems.” ArXiv:2503.07576, 2025.
LibreCat | Files available | arXiv
 
[13]
2024 | Journal Article | LibreCat-ID: 52726 | OA
Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks 12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d.
LibreCat | Files available | Download (ext.) | arXiv
 
[11]
2024 | Journal Article | LibreCat-ID: 59171 | OA
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480, no. 2301 (2024). https://doi.org/10.1098/rspa.2023.0945.
LibreCat | Files available | DOI
 
[10]
2023 | Journal Article | LibreCat-ID: 49326
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.
LibreCat | DOI | arXiv
 
[9]
2023 | Preprint | LibreCat-ID: 45498
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320, n.d.
LibreCat | Download (ext.) | arXiv
 
[8]
2022 | Journal Article | LibreCat-ID: 33264
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity 35, no. 4 (2022): 2073–2120. https://doi.org/10.1088/1361-6544/ac5463.
LibreCat | DOI | arXiv
 
[7]
2020 | Misc | LibreCat-ID: 33273
Schramm, Thomas, Ingenuin Gasser, Sören Schwenker, Ruedi Seiler, Alexander Lohse, and Kay Zobel. Linear Algebra Driven by Data Science. Hamburg Open Online University, 2020.
LibreCat | Download (ext.)
 
[6]
2020 | Newspaper Article | LibreCat-ID: 33272 | OA
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “Generalised Symmetry in Network Dynamics.” DSWeb, 2020.
LibreCat | Download (ext.)
 
[5]
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “A New Algorithm for Computing Idempotents of ℛ-Trivial Monoids.” Journal of Algebra and Its Applications 20, no. 12 (2020). https://doi.org/10.1142/s0219498821502273.
LibreCat | DOI | arXiv
 
[4]
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, Eddie, Bob W. Rink, and Sören Schwenker. “Quiver Representations and Dimension Reduction in Dynamical Systems.” SIAM Journal on Applied Dynamical Systems 19, no. 4 (2020): 2428–68. https://doi.org/10.1137/20m1345670.
LibreCat | DOI | arXiv
 
[3]
2019 | Dissertation | LibreCat-ID: 33265 | OA
Schwenker, Sören. Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
LibreCat | Download (ext.)
 
[2]
2018 | Journal Article | LibreCat-ID: 33261
Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” SIAM Journal on Mathematical Analysis 50, no. 3 (2018): 2466–85. https://doi.org/10.1137/17m116118x.
LibreCat | DOI | arXiv
 
[1]
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” Dynamical Systems 32, no. 1 (2016): 117–47. 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, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig, and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited  Visibility.” In 28th International Conference on Principles of Distributed Systems (OPODIS 2024), edited by Silvia Bonomi, Letterio Galletta, Etienne Rivière, and Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13.
LibreCat | DOI | Download (ext.) | arXiv
 
[14]
2025 | Preprint | LibreCat-ID: 58953 | OA
Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant  Dynamical Systems.” ArXiv:2503.07576, 2025.
LibreCat | Files available | arXiv
 
[13]
2024 | Journal Article | LibreCat-ID: 52726 | OA
Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks 12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 
[12]
2024 | Preprint | LibreCat-ID: 44840 | OA
Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d.
LibreCat | Files available | Download (ext.) | arXiv
 
[11]
2024 | Journal Article | LibreCat-ID: 59171 | OA
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480, no. 2301 (2024). https://doi.org/10.1098/rspa.2023.0945.
LibreCat | Files available | DOI
 
[10]
2023 | Journal Article | LibreCat-ID: 49326
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.
LibreCat | DOI | arXiv
 
[9]
2023 | Preprint | LibreCat-ID: 45498
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320, n.d.
LibreCat | Download (ext.) | arXiv
 
[8]
2022 | Journal Article | LibreCat-ID: 33264
Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity 35, no. 4 (2022): 2073–2120. https://doi.org/10.1088/1361-6544/ac5463.
LibreCat | DOI | arXiv
 
[7]
2020 | Misc | LibreCat-ID: 33273
Schramm, Thomas, Ingenuin Gasser, Sören Schwenker, Ruedi Seiler, Alexander Lohse, and Kay Zobel. Linear Algebra Driven by Data Science. Hamburg Open Online University, 2020.
LibreCat | Download (ext.)
 
[6]
2020 | Newspaper Article | LibreCat-ID: 33272 | OA
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “Generalised Symmetry in Network Dynamics.” DSWeb, 2020.
LibreCat | Download (ext.)
 
[5]
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “A New Algorithm for Computing Idempotents of ℛ-Trivial Monoids.” Journal of Algebra and Its Applications 20, no. 12 (2020). https://doi.org/10.1142/s0219498821502273.
LibreCat | DOI | arXiv
 
[4]
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, Eddie, Bob W. Rink, and Sören Schwenker. “Quiver Representations and Dimension Reduction in Dynamical Systems.” SIAM Journal on Applied Dynamical Systems 19, no. 4 (2020): 2428–68. https://doi.org/10.1137/20m1345670.
LibreCat | DOI | arXiv
 
[3]
2019 | Dissertation | LibreCat-ID: 33265 | OA
Schwenker, Sören. Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
LibreCat | Download (ext.)
 
[2]
2018 | Journal Article | LibreCat-ID: 33261
Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” SIAM Journal on Mathematical Analysis 50, no. 3 (2018): 2466–85. https://doi.org/10.1137/17m116118x.
LibreCat | DOI | arXiv
 
[1]
2016 | Journal Article | LibreCat-ID: 33260
Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” Dynamical Systems 32, no. 1 (2016): 117–47. https://doi.org/10.1080/14689367.2016.1219696.
LibreCat | DOI | arXiv
 
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Citation Style: Chicago

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