AN OPTIMAL LIFTING THEOREM FOR COUPLED CELL NETWORKS

DOI10.1142/S0218127411029872zbMath1248.37027OpenAlexW2139167587MaRDI QIDQ3165842

I. N. Stewart

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029872

zbMATH Keywords

networkliftingquotienttype matrix

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (1)

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

Cites Work

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• Network architecture and spatio-temporally symmetric dynamics
• Bifurcations from regular quotient networks: A first insight
• Network periodic solutions: full oscillation and rigid synchrony
• Periodic dynamics of coupled cell networks II: cyclic symmetry
• 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
• Nonlinear dynamics of networks: the groupoid formalism

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