title: Route to noise-induced synchronization in an ensemble of uncoupled chaotic systems.
abstract: 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.
authors.affiliation: School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA.
authors.forename: Yan
authors.initials: Y
authors.lastname: Wang
authors.forename: Ying-Cheng
authors.initials: YC
authors.lastname: Lai
authors.forename: Zhigang
authors.initials: Z
authors.lastname: Zheng