THE EXISTENCE AND CLASSIFICATION OF SYNCHRONY-BREAKING BIFURCATIONS IN REGULAR HOMOGENEOUS NETWORKS USING LATTICE STRUCTURES

DOI10.1142/S0218127409025079zbMath1182.34054MaRDI QIDQ5305152

Hiroko Kamei

Publication date: 19 March 2010

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

zbMATH Keywords

latticecoupled cell networkssynchrony breaking bifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (10)

Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ CONSTRUCTION OF LATTICES OF BALANCED EQUIVALENCE RELATIONS FOR REGULAR HOMOGENEOUS NETWORKS USING LATTICE GENERATORS AND LATTICE INDICES ⋮ Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media ⋮ Synchrony Branching Lemma for Regular Networks ⋮ The steady-state lifting bifurcation problem associated with the valency on networks ⋮ Finite Characterization of the Coarsest Balanced Coloring of a Network ⋮ Overdetermined constraints and rigid synchrony patterns for network equilibria ⋮ Characterization of fundamental networks ⋮ Special Jordan Subspaces and Synchrony Subspaces in Coupled Cell Networks ⋮ Reduced Lattices of Synchrony Subspaces and Their Indices

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