Network periodic solutions: full oscillation and rigid synchrony

DOI10.1088/0951-7715/23/12/012zbMath1216.34029OpenAlexW2051685840MaRDI QIDQ3069817

David Gilman Romano, Yunjiao Wang, Martin Golubitsky

Publication date: 20 January 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/19c20f02c38c40afeb6988c6711d78fff3400524

zbMATH Keywords

admissible perturbationsbalanced colouringcoupled ODEsfully oscillatorypolydiagonalrigid synchrony

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

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Symmetry types and phase-shift synchrony in networks ⋮ AN OPTIMAL LIFTING THEOREM FOR COUPLED CELL NETWORKS ⋮ Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks ⋮ Overdetermined ODEs and rigid periodic states in network dynamics ⋮ Bifurcations on Fully Inhomogeneous Networks ⋮ Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics ⋮ Finite Characterization of the Coarsest Balanced Coloring of a Network ⋮ Symmetry methods in mathematical biology ⋮ Overdetermined constraints and rigid synchrony patterns for network equilibria ⋮ Symmetries of Quotient Networks for Doubly Periodic Patterns on the Square Lattice ⋮ Balanced Colorings and Bifurcations in Rivalry and Opinion Networks ⋮ Coupled cell networks: Semigroups, Lie algebras and normal forms

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