SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 2: GROUP NETWORKS

DOI10.1142/S0218127407017641zbMath1141.37392OpenAlexW1969617456MaRDI QIDQ3499166

Fernando Antoneli, I. N. Stewart

Publication date: 28 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127407017641

zbMATH Keywords

network dynamics

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Analytic circuit theory (94C05) Applications of dynamical systems (37N99) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (13)

THE EXISTENCE AND CLASSIFICATION OF SYNCHRONY-BREAKING BIFURCATIONS IN REGULAR HOMOGENEOUS NETWORKS USING LATTICE STRUCTURES ⋮ Overdetermined ODEs and rigid periodic states in network dynamics ⋮ Breaking Indecision in Multiagent, Multioption Dynamics ⋮ Invariant Synchrony Subspaces of Sets of Matrices ⋮ Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics ⋮ SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 3 ⋮ Finite Characterization of the Coarsest Balanced Coloring of a Network ⋮ Exotic Patterns of Synchrony in Planar Lattice Networks ⋮ Bifurcations in dynamical systems with interior symmetry ⋮ Overdetermined constraints and rigid synchrony patterns for network equilibria ⋮ Symmetries of Quotient Networks for Doubly Periodic Patterns on the Hexagonal Lattice ⋮ Balanced Colorings and Bifurcations in Rivalry and Opinion Networks ⋮ Coupled cell networks: Semigroups, Lie algebras and normal forms

Cites Work

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• SYMMETRY AND SYNCHRONY IN COUPLED CELL NETWORKS 1: FIXED-POINT SPACES
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Two-colour patterns of synchrony in lattice dynamical systems
• Patterns of synchrony in lattice dynamical systems

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