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
Reviewed
(2023).
Hypernetworks: cluster synchronisation is a higher-order effect.
To appear in SIAM Journal on Applied Mathematics.
(2022).
Amplified steady state bifurcations in feedforward networks.
Nonlinearity 35.4, pp. 2073–2120.
(2021).
A new algorithm for computing idempotents of $\mathcal{R}$-trivial monoids.
Journal of Algebra and Its Applications, 20(12).
(2020).
Quiver Representations and Dimension Reduction in Dynamical Systems.
SIAM Journal on Applied Dynamical Systems 19(4), 2428–2468.
(2018).
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.
SIAM Journal on Mathematical Analysis 50, 2466–2485.
(2017).
Equivariant bifurcations in four-dimensional fixed point spaces.
Dynamical Systems 32(1), 117–147.
Other Publications
(2020).
Linear Algebra driven by Data Science.
Massive Open Online Course, Hamburg Open Online University, 2020 (in German).
(2020).
Generalised Symmetry in Network Dynamics.
DSWeb, April 2020.
Upcoming Events
Projects
Contact
- soeren.von.der.gracht@uni-paderborn.de
- +49 5251 60-3774
- Technologiepark 21, Paderborn, 33100
- Office TP21.1.17