Sören von der Gracht

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

(2023). Higher order interactions lead to "reluctant" synchrony breaking.

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(2023). On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.

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Reviewed

(2024). Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions. Accepted for publication in Journal of Complex Networks.

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(2023). Hypernetworks: cluster synchronisation is a higher-order effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353.

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(2022). Amplified steady state bifurcations in feedforward networks. Nonlinearity 35.4, pp. 2073–2120.

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(2021). A new algorithm for computing idempotents of $\mathcal{R}$-trivial monoids. Journal of Algebra and Its Applications, 20(12).

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(2020). Quiver Representations and Dimension Reduction in Dynamical Systems. SIAM Journal on Applied Dynamical Systems 19(4), 2428–2468.

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(2017). Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems 32(1), 117–147.

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Other Publications

(2020). Linear Algebra driven by Data Science. Massive Open Online Course, Hamburg Open Online University, 2020 (in German).

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(2020). Generalised Symmetry in Network Dynamics. DSWeb, April 2020.

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