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 |
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| Article number | 036201 |
| Number of pages | 7 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 81 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2010 |