TY - JOUR
T1 - Route to noise-induced synchronization in an ensemble of uncoupled chaotic systems
AU - Wang, Yan
AU - Lai, Ying-Cheng
AU - Zheng, Zhigang
PY - 2010/3/3
Y1 - 2010/3/3
N2 - We investigate the route to synchronization in an ensemble of uncoupled chaotic oscillators under common noise. Previous works have demonstrated that, as the common-noise amplitude is increased, both chaotic phase synchronization and complete synchronization can occur. Our study reveals an intermediate state of synchronization in between these two types of synchronization. A statistical measure is introduced to characterize this noise-induced synchronization state and the dynamical origin of the transition to it is elucidated based on the Lyapunov dimension of the set formed by all oscillator states.
AB - We investigate the route to synchronization in an ensemble of uncoupled chaotic oscillators under common noise. Previous works have demonstrated that, as the common-noise amplitude is increased, both chaotic phase synchronization and complete synchronization can occur. Our study reveals an intermediate state of synchronization in between these two types of synchronization. A statistical measure is introduced to characterize this noise-induced synchronization state and the dynamical origin of the transition to it is elucidated based on the Lyapunov dimension of the set formed by all oscillator states.
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U2 - 10.1103/PhysRevE.81.036201
DO - 10.1103/PhysRevE.81.036201
M3 - Article
AN - SCOPUS:77749249048
VL - 81
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 3
M1 - 036201
ER -