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Cluster synchronization, switching and spatiotemporal coding in a phase oscillator network
Author(s) -
Orosz Gábor,
Ashwin Peter,
Wordsworth John,
Townley Stuart
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700130
Subject(s) - cluster (spacecraft) , synchronization (alternating current) , singleton , coding (social sciences) , synchronization networks , phase synchronization , topology (electrical circuits) , computer science , phase (matter) , biological system , control theory (sociology) , mathematics , physics , combinatorics , computer network , quantum mechanics , artificial intelligence , control (management) , biology , pregnancy , statistics , genetics
A network of five globally‐coupled identical phase oscillators is considered. Cluster states consisting of two synchronized pairs of oscillators and one singleton are investigated. Forcing the system with non‐uniform constant inputs results in regular switches between cluster states. The resultant cyclic sequences of switches (spatiotemporal codes) are studied for different initial conditions and input configurations. Implications on information coding in neural systems are briefly discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)