Synchronization of multi-phase oscillators

M. N. KUPERMAN; D. H. ZANETTE

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

SPRINGER

Año: 2009 vol. 70 p. 243 - 248

1434-6028

Inspired by Axelrod´s model of culture dissemination, we introduce and analyze a model for apopulation of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The state of each oscillator is represented by a set of phases, and the interaction - which occurs between homologous phases- is weighted by a decreasing function of the distance between individual states. Both ordered arrays and random networks are considered. We nd that the transition between synchronization and incoherent behaviour is mediated by a clustering regime with rich organizational structure, where any two oscillators can be synchronized in some of their phases, while their remain unsynchronized in the others.