Bifurcations from regular quotient networks: A first insight

DOI10.1016/j.physd.2008.10.006zbMath1155.37315OpenAlexW2157540413MaRDI QIDQ1003443

Martin Golubitsky, Maria Da Conceição A. Leite, Manuela A. D. Aguiar, Ana Paula S. Dias

Publication date: 4 March 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.10.006

zbMATH Keywords

bifurcationcoupled cell networkquotient network

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by flows and semiflows (37C10) Directed graphs (digraphs), tournaments (05C20)

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Cites Work

• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Complex networks: structure and dynamics
• Linear equivalence and ODE-equivalence for coupled cell networks
• Homogeneous three-cell networks
• Bifurcations from Synchrony in Homogeneous Networks: Linear Theory
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• COMPLEX NETWORKS: TOPOLOGY, DYNAMICS AND SYNCHRONIZATION
• Minimal coupled cell networks
• Exploring complex networks
• Nonlinear dynamics of networks: the groupoid formalism

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