Phase clustering and transition to phase synchronization in a large numberof coupled nonlinear oscillators - art. no. 055201

Citation
Zh. Liu et al., Phase clustering and transition to phase synchronization in a large numberof coupled nonlinear oscillators - art. no. 055201, PHYS REV E, 6305(5), 2001, pp. 5201
Citations number
28
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063-651X → ACNP
Volume
6305
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200105)6305:5<5201:PCATTP>2.0.ZU;2-P
Abstract
The transition to phase synchronization in systems consisting of a large nu mber (N) of coupled nonlinear oscillators via the route of phase clustering (phase synchronization among subsets of oscillators) is investigated. We e lucidate the mechanism for the merger of phase clusters and find an algebra ic scaling between the critical coupling parameter required for phase synch ronization and N. Our result implies that, in realistic situations, phase c lustering may be more prevalent than full phase synchronization.