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, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
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| Files available
| DOI
| Download (ext.)
| arXiv
2023 | Preprint | LibreCat-ID: 45498
von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
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| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 44840
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632.
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| arXiv
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:10.1088/1361-6544/ac5463.
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
Schramm, Thomas, et al. Linear Algebra Driven by Data Science. Hamburg Open Online University, 2020.
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2020 | Newspaper Article | LibreCat-ID: 33272 |
Nijholt, Eddie, et al. “Generalised Symmetry in Network Dynamics.” DSWeb, no. April, 2020.
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| Download (ext.)
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, Eddie, et al. “A New Algorithm for Computing Idempotents of ℛ-Trivial Monoids.” Journal of Algebra and Its Applications, vol. 20, no. 12, World Scientific Pub Co Pte Ltd, 2020, doi:10.1142/s0219498821502273.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, Eddie, et al. “Quiver Representations and Dimension Reduction in Dynamical Systems.” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 4, Society for Industrial & Applied Mathematics (SIAM), 2020, pp. 2428–68, doi:10.1137/20m1345670.
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |
Schwenker, Sören. Genericity in Network Dynamics. Universität Hamburg, 2019.
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| 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, vol. 50, no. 3, Society for Industrial & Applied Mathematics (SIAM), 2018, pp. 2466–85, doi: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, vol. 32, no. 1, Informa UK Limited, 2016, pp. 117–47, doi:10.1080/14689367.2016.1219696.
LibreCat
| DOI
| arXiv
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, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
LibreCat
| Files available
| DOI
| Download (ext.)
| arXiv
2023 | Preprint | LibreCat-ID: 45498
von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
LibreCat
| Download (ext.)
| arXiv
2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.
LibreCat
| DOI
| arXiv
2023 | Preprint | LibreCat-ID: 44840
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632.
LibreCat
| Files available
| Download (ext.)
| arXiv
2022 | Journal Article | LibreCat-ID: 33264
von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:10.1088/1361-6544/ac5463.
LibreCat
| DOI
| arXiv
2020 | Misc | LibreCat-ID: 33273
Schramm, Thomas, et al. Linear Algebra Driven by Data Science. Hamburg Open Online University, 2020.
LibreCat
| Download (ext.)
2020 | Newspaper Article | LibreCat-ID: 33272 |
Nijholt, Eddie, et al. “Generalised Symmetry in Network Dynamics.” DSWeb, no. April, 2020.
LibreCat
| Download (ext.)
2020 | Journal Article | LibreCat-ID: 33262
Nijholt, Eddie, et al. “A New Algorithm for Computing Idempotents of ℛ-Trivial Monoids.” Journal of Algebra and Its Applications, vol. 20, no. 12, World Scientific Pub Co Pte Ltd, 2020, doi:10.1142/s0219498821502273.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 33263
Nijholt, Eddie, et al. “Quiver Representations and Dimension Reduction in Dynamical Systems.” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 4, Society for Industrial & Applied Mathematics (SIAM), 2020, pp. 2428–68, doi:10.1137/20m1345670.
LibreCat
| DOI
| arXiv
2019 | Dissertation | LibreCat-ID: 33265 |
Schwenker, Sören. Genericity in Network Dynamics. 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, vol. 50, no. 3, Society for Industrial & Applied Mathematics (SIAM), 2018, pp. 2466–85, doi: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, vol. 32, no. 1, Informa UK Limited, 2016, pp. 117–47, doi:10.1080/14689367.2016.1219696.
LibreCat
| DOI
| arXiv