TY - JOUR
T1 - Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators
AU - Liu, Z.
AU - Lai, Ying-Cheng
AU - Hoppensteadt, F. C.
PY - 2001
Y1 - 2001
N2 - The transition to phase synchronization in systems consisting of a large number (Formula presented) 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.
AB - The transition to phase synchronization in systems consisting of a large number (Formula presented) 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.
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U2 - 10.1103/PhysRevE.63.055201
DO - 10.1103/PhysRevE.63.055201
M3 - Article
AN - SCOPUS:0035334602
VL - 63
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 5
ER -