monoid representation theory

Homogeneous Coupled Cell Systems with High-dimensional Internal Dynamics
The analysis of network dynamics is oftentimes restricted to networks with one-dimensional internal dynamics. Here, we show how …
Sören von der Gracht, Eddie Nijholt, Bob Rink
PDF arXiv
Genericity in Network Dynamics
This thesis deals with the investigation of dynamical properties – in particular generic synchrony breaking bifurcations – that are …
Sören von der Gracht
PDF Link
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid …
Sören von der Gracht
PDF Cite DOI arXiv