Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 2: Higher-Dimensional Cells

DOI10.1137/130917636zbMath1347.37042OpenAlexW2024037078MaRDI QIDQ2876663

I. N. Stewart

Publication date: 19 August 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130917636

zbMATH Keywords

networkbifurcationnormal formsynchrony-breaking

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Generic properties, structural stability of dynamical systems (37C20)

Related Items (3)

Bifurcations on Fully Inhomogeneous Networks ⋮ Circulant type formulas for the eigenvalues of linear network maps ⋮ Asymptotic Analysis of Bifurcations in Feedforward Networks

Cites Work

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• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• ELIMINATION OF MULTIPLE ARROWS AND SELF-CONNECTIONS IN COUPLED CELL NETWORKS
• Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: 1-Dimensional Cells
• Nonlinear dynamics of networks: the groupoid formalism
• Enumerative applications of symmetric functions

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