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.
| Original language | English (US) |
|---|---|
| Article number | 036201 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 81 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 3 2010 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Wang, Y., Lai, Y-C., & Zheng, Z. (2010). Route to noise-induced synchronization in an ensemble of uncoupled chaotic systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 81(3), [036201]. https://doi.org/10.1103/PhysRevE.81.036201