bifurcation theory

Hypernetworks: cluster synchronisation is a higher-order effect
Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can …
Sören von der Gracht, Eddie Nijholt, Bob Rink
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Amplified steady state bifurcations in feedforward networks
We investigate bifurcations in feedforward coupled cell networks. Feedforward structure (the absence of feedback) can be defined by a …
Sören von der Gracht, Eddie Nijholt, Bob Rink
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Quiver Representations and Dimension Reduction in Dynamical Systems
Dynamical systems often admit geometric properties that must be taken into account when studying their behavior. We show that many such …
Sören von der Gracht, Eddie Nijholt, Bob Rink
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Generalised Symmetry in Network Dynamics
Sören von der Gracht, Eddie Nijholt, Bob Rink
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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
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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
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Equivariant bifurcations in four-dimensional fixed point spaces
In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we …
Sören von der Gracht, Reiner Lauterbach
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