The transition to phase synchronization in systems consisting of a large number (N) of coupled nonlinear oscillators via the route of phase clustering (phase synchronization among subsets of oscillators) is investigated. We elucidate the mechanism for the merger of phase clusters and find an algebraic scaling between the critical coupling parameter required for phase synchronization and N. Our result implies that, in realistic situations, phase clustering may be more prevalent than full phase synchronization.
|Number of pages||4|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - May 2001|
- chaotic oscillators