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[BOEK][B] Dynamics and bifurcation in networks: theory and applications of coupled differential equations
M Golubitsky, I Stewart - 2023 - SIAM
The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
The steady-state lifting bifurcation problem associated with the valency on networks
In this paper we consider homogeneous coupled cell networks with asymmetric inputs—
networks where each cell receives exactly one input of each edge type. The coupled cell …
networks where each cell receives exactly one input of each edge type. The coupled cell …
An in-reachability based classification of invariant synchrony patterns in weighted coupled cell networks
This paper presents an in-reachability based classification of invariant synchrony patterns in
coupled cell networks (CCNs). These patterns are encoded through partitions on the set of …
coupled cell networks (CCNs). These patterns are encoded through partitions on the set of …
An overview of synchrony in coupled cell networks
MAD Aguiar, APS Dias - … , Optimization and Bioeconomics III: DGS IV …, 2018 - Springer
One of the key aspects in the theory of coupled cell networks concerns the existence of
synchrony subspaces. That is, subspaces defined in terms of equalities between cell …
synchrony subspaces. That is, subspaces defined in terms of equalities between cell …
Reduced lattices of synchrony subspaces and their indices
H Kamei, H Ruan - SIAM journal on applied dynamical systems, 2021 - SIAM
For a regular coupled cell network, synchrony subspaces are the polydiagonal subspaces
that are invariant under the network adjacency matrix. The complete lattice of synchrony …
that are invariant under the network adjacency matrix. The complete lattice of synchrony …
[PDF][PDF] An equivariant degree theory for networked dynamical systems
H Ruan - 2016 - math.uni-hamburg.de
We extend the scope of equivariant degree theory and methods to the realm of networked
dynamical systems. Focusing on two types of hidden symmetries of networked systems, we …
dynamical systems. Focusing on two types of hidden symmetries of networked systems, we …