Center Manifolds of Coupled Cell Networks

DOI10.1137/16M106861XzbMath1379.37093arXiv1603.08888OpenAlexW2962846557MaRDI QIDQ4592863

Jan A. Sanders, Eddie Nijholt, Bob Rink

Publication date: 9 November 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08888

zbMATH Keywords

bifurcation theorycenter manifold reductioncoupled cell network

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (11)

Networks beyond pairwise interactions: structure and dynamics ⋮ Amplified steady state bifurcations in feedforward networks ⋮ Bifurcations on Fully Inhomogeneous Networks ⋮ The steady-state lifting bifurcation problem associated with the valency on networks ⋮ Circulant type formulas for the eigenvalues of linear network maps ⋮ Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems ⋮ On fast-slow consensus networks with a dynamic weight ⋮ Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling ⋮ Quiver Representations and Dimension Reduction in Dynamical Systems ⋮ Towards a classification of networks with asymmetric inputs ⋮ A new algorithm for computing idempotents of ℛ-trivial monoids

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