Network periodic solutions: patterns of phase-shift synchrony

DOI10.1088/0951-7715/25/4/1045zbMath1245.34043OpenAlexW2159247630MaRDI QIDQ2882657

David Gilman Romano, Martin Golubitsky, Yunjiao Wang

Publication date: 7 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dc7e879f4d9cf887cf325e933bce0fdd7c230354

zbMATH Keywords

symmetrycoupled oscillatorsgroup theory

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (11)

Symmetry types and phase-shift synchrony in networks ⋮ Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ Overdetermined ODEs and rigid periodic states in network dynamics ⋮ Bifurcations on Fully Inhomogeneous Networks ⋮ Stable Synchronous Propagation of Signals by Feedforward 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 ⋮ Hidden Symmetries, Coupled Networks and Equivariant Degrees ⋮ Balanced Colorings and Bifurcations in Rivalry and Opinion Networks

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