Relationship between Phase Synchronization of Chaotic Oscillators and Time Scale Synchronization.

The relationship between the phase synchronization of chaotic oscillators and their time scale synchronization has been considered, and it is established that the onset of the time scale synchronization depends on the resolving power of the base wavelet. This synchronization usually appears either before or (if said resolving power is insufficient) simultaneously with the onset of phase synchronization. The results are illustrated in the case of one-way coupled Rössler type dynamical systems. © 2005 Pleiades Publishing, Inc. [ABSTRACT FROM AUTHOR]