Sören von der Gracht

PostDoc in Dynamical Systems

Paderborn University - Chair of Applied Mathematics

Research interests

Dynamical Systems and applications: Network dynamical systems with diadic and higher-order interactions. Structural investigations via algebraic symmetry methods and their generalizations.

Publications

Preprints

Raphael Gerlach, Sören von der Gracht, Christopher Hahn, Jonas Harbig, Peter Kling (2024). Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility.

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Sören von der Gracht, Eddie Nijholt, Bob Rink (2023). A parametrisation method for high-order phase reduction in coupled oscillator networks.

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Raphael Gerlach, Sören von der Gracht, Michael Dellnitz (2023). On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.

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Reviewed

Sören von der Gracht, Eddie Nijholt, Bob Rink (2024). Higher order interactions lead to "reluctant" synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, to appear.

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Christian Bick, Sören von der Gracht (2024). Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions. Journal of Complex Networks, Volume 12, Issue 2, April.

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Sören von der Gracht, Eddie Nijholt, Bob Rink (2023). Hypernetworks: cluster synchronisation is a higher-order effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353.

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Sören von der Gracht, Eddie Nijholt, Bob Rink (2022). Amplified steady state bifurcations in feedforward networks. Nonlinearity 35.4, pp. 2073–2120.

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Sören von der Gracht, Eddie Nijholt, Bob Rink (2021). A new algorithm for computing idempotents of $\mathcal{R}$-trivial monoids. Journal of Algebra and Its Applications, 20(12).

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Sören von der Gracht, Eddie Nijholt, Bob Rink (2020). Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems 19(4), 2428–2468.

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Sören von der Gracht (2018). Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. SIAM Journal on Mathematical Analysis 50, 2466–2485.

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Sören von der Gracht, Reiner Lauterbach (2017). Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems 32(1), 117–147.

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Other Publications

Sören von der Gracht, Thomas Schramm, Ingenuin Gasser, Ruedi Seiler, Alexander Lohse, Kay Zobel (2020). Linear Algebra driven by Data Science. Massive Open Online Course, Hamburg Open Online University, 2020 (in German).

Link

Sören von der Gracht, Eddie Nijholt, Bob Rink (2020). Generalised Symmetry in Network Dynamics. DSWeb, April 2020.

Link

Thesis

Genericity in Network Dynamics

Sören von der Gracht

Upcoming Events

Projects

Apr 19, 2023

Algorithms for swarms: Distributed Computing meets Dynamical Systems

Investigation of the capabilities and limitations of local, distributed strategies for swarms of mobile robots using methods from dynamical systems theory.

Apr 19, 2023