13 Publications
2024 | Journal Article | LibreCat-ID: 52726 | 
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.
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| arXiv
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.
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| arXiv
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.
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| arXiv
2023 | Preprint | LibreCat-ID: 44840
Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632, n.d.
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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.
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| arXiv
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.
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2020 | Newspaper Article | LibreCat-ID: 33272 |
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “Generalised Symmetry in Network Dynamics.” DSWeb, 2020.
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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.
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| arXiv
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.
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| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |
Schwenker, Sören. Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
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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.
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| arXiv
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.
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13 Publications
2024 | Journal Article | LibreCat-ID: 52726 |
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
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
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
2023 | Preprint | LibreCat-ID: 44840
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
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
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.)
2020 | Newspaper Article | LibreCat-ID: 33272 |
Nijholt, Eddie, Bob Rink, and Sören Schwenker. “Generalised Symmetry in Network Dynamics.” DSWeb, 2020.
LibreCat
| Download (ext.)
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
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
2019 | Dissertation | LibreCat-ID: 33265 |
Schwenker, Sören. Genericity in Network Dynamics. Hamburg: Universität Hamburg, 2019.
LibreCat
| Download (ext.)
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
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