Dr. Sören von der Gracht, (geb. Schwenker)

Chair of Applied Mathematics

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

Selected Projects

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Publications

Latest Publications

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.

DOI arXiv

Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems

R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).

PDF arXiv

Heteroclinic dynamics in network dynamical systems with higher-order interactions

C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).

DOI arXiv

On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies

R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).

https://math.uni-paderborn.de/en/ag/chair-of-applied-mathematics/research#c919825 arXiv

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).

DOI PDF

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Teaching


Current Courses

  • Wahlpflichtveranstaltung Modellieren und Anwendungen: Dynamische Prozesse (Übung)
  • Wahlpflichtveranstaltung Modellieren und Anwendungen: Dynamische Prozesse
  • Dynamische Systeme im maschinellen Lernen und in Netzwerken (Übung)
  • Dynamische Systeme im maschinellen Lernen und in Netzwerken