Synchronization of multi-phase oscillators: an Axelrod-inspired model |
| |
Authors: | M N Kuperman and D H Zanette |
| |
Institution: | (1) Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Río Negro, Argentina |
| |
Abstract: | Inspired by Axelrod’s model of culture dissemination, we
introduce and analyze a model for a population 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 find 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. |
| |
Keywords: | PACS" target="_blank">PACS 05 45 Xt Synchronization coupled oscillators 87 23 Ge Dynamics of social systems 89 75 Fb Structures and organization in complex systems |
本文献已被 SpringerLink 等数据库收录! |