Lag synchronization denotes a particular form of synchronization in which the amplitudes of two interacting, nonidentical chaotic oscillators are correlated but there is a characteristic time delay between them. We study transitions to and between different forms of synchronization for the attractors defined as "in-phase" and "out-of-phase" and investigate the processes by which lag synchronization is lost in two coupled Rossler systems. With a small frequency mismatch between the two systems, these processes are related to the occurrence of a peculiar form of basin structure as more and more periodic orbits embedded into the synchronized chaotic state become unstable in a transverse direction.
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 1999|
Bibliographical noteCopyright (1999) by the American Physical Society.
- TRANSVERSE INSTABILITY
- RIDDLED BASINS
- PHASE SYNCHRONIZATION