ELIMINATION OF MULTIPLE ARROWS AND SELF-CONNECTIONS IN COUPLED CELL NETWORKS

DOI10.1142/S0218127407017197zbMath1117.37013OpenAlexW2001775364MaRDI QIDQ5297287

I. N. Stewart

Publication date: 18 July 2007

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

Full work available at URL: https://doi.org/10.1142/s0218127407017197

zbMATH Keywords

directed graphquotient mapmultiple edge

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10) Combinatorial dynamics (types of periodic orbits) (37E15) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items

AN OPTIMAL LIFTING THEOREM FOR COUPLED CELL NETWORKS ⋮ Direct lifts of coupled cell networks ⋮ Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 2: Higher-Dimensional Cells

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
• Nonlinear dynamics of networks: the groupoid formalism