TY - JOUR
T1 - Phase slips and phase synchronization of coupled oscillators
AU - Zheng, Zhigang
AU - Hu, Gang
AU - Hu, Bambi
N1 - This work is supported in part by the Research Grant Council RGC and the Hong Kong Baptist University Faculty Research Grant FRG and in part by the National Natural Science Foundation of China.
PY - 1998/12/14
Y1 - 1998/12/14
N2 - The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the phase-locking state, simultaneous phase slips of all oscillators and quantized phase shifts in these phase slips are observed. By increasing the coupling, a bifurcation tree from high-dimensional quasiperiodicity to chaos to quasiperiodicity and periodicity is found. Different orders of phase synchronizations of chaotic oscillators and chaotic clusters play the key role for constructing this tree structure.
AB - The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the phase-locking state, simultaneous phase slips of all oscillators and quantized phase shifts in these phase slips are observed. By increasing the coupling, a bifurcation tree from high-dimensional quasiperiodicity to chaos to quasiperiodicity and periodicity is found. Different orders of phase synchronizations of chaotic oscillators and chaotic clusters play the key role for constructing this tree structure.
UR - http://www.scopus.com/inward/record.url?scp=4244211549&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.81.5318
DO - 10.1103/PhysRevLett.81.5318
M3 - Journal article
AN - SCOPUS:4244211549
SN - 0031-9007
VL - 81
SP - 5318
EP - 5321
JO - Physical Review Letters
JF - Physical Review Letters
IS - 24
ER -