Dr. S?ren von der Gracht, (geb. Schwenker)
Member - PostDoc
Postdoctoral Researcher
- E-Mail:
- soeren.von.der.gracht@uni-paderborn.de
- Phone:
- +49 5251 60-3774
- ORCID:
- 0000-0002-8054-2058
- Web:
- Homepage
- Office Address:
-
Technologiepark 21
33100 Paderborn - Room:
- TP21.1.17
Dynamical Systems and applications: Network dynamical systems with diadic and higher-order interactions. Structural investigations via algebraic symmetry methods and their generalizations.
Research
Research Interests
- Network Dynamical Systems
- Genericity
- Bifurcation Theory
- Application of Representation Theory
- Connections to Equivariant Dynamics
- Heteroclinic Dynamics
- Higher-Order Interactions
- Applications to Real-World Systems
- Equivariant DynamicsEquivariant Dynamics
- Genericity
- Bifurcation Theory
- Representation Theory
- Decomposition of Representations
- Monoid Representations
- Quiver Representations
- Connections to Networks
Publications
Latest Publications
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
Higher-order interactions lead to ‘reluctant’ synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
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