Open AccessSynchronization of coupled limit-cycle systems
Author(s) -
Zhang Ting-Xian,
Zhaowen Zheng
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.3287
Subject(s) - synchronization (alternating current) , bifurcation , amplitude , limit cycle , limit (mathematics) , physics , phase (matter) , coupling (piping) , monotonic function , phase synchronization , statistical physics , control theory (sociology) , topology (electrical circuits) , mathematics , mathematical analysis , computer science , quantum mechanics , nonlinear system , materials science , combinatorics , metallurgy , control (management) , artificial intelligence
Synchronizations in coupled limitcycle systems are studied. The order parameter does not change monotonically with increasing coupling. Phase synchronization among oscillators shows a treelike bifurcation, and a number of clustered states are experienced. At the onset of synchronization, simultaneous phase slips of all oscillators and quantized phase shifts are observed. The phase synchronization bifurcation is accompanied by a bifurcation process of the amplitudes of oscillators, that is, the synchronization of phases corresponds to an inhomogeneou sprocess of amplitudes.