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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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DOI
arXiv
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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DOI
arXiv
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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DOI
arXiv
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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DOI
arXiv
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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arXiv
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