Publications

Raphael Gerlach, Sören von der Gracht, Michael Dellnitz (2024). On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.

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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, Volume 480, Issue 2301, 20230945.

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Raphael Gerlach, Sören von der Gracht, Christopher Hahn, Jonas Harbig, Peter Kling (2024). Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility. 28th International Conference on Principles of Distributed Systems (OPODIS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 324, pp. 23:1–23:28, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 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 (2023). A parametrisation method for high-order phase reduction in coupled oscillator networks.

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

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

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Sören von der Gracht (2019). Genericity in Network Dynamics. Dissertation, Universität Hamburg, Supervisor: Prof. Dr. Reiner Lauterbach.

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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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