Abstract
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.
Original language | English |
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Journal | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
Volume | 60 |
Issue number | 6 |
Pages (from-to) | 6560-6566 |
ISSN | 1063-651X |
DOIs | |
Publication status | Published - 1999 |
Bibliographical note
Copyright (1999) by the American Physical Society.Keywords
- SADDLE
- INTERMITTENCY
- TRANSITION
- TRANSVERSE INSTABILITY
- MECHANISM
- RIDDLED BASINS
- BIFURCATIONS
- ATTRACTORS
- OSCILLATOR-SYSTEMS
- PHASE SYNCHRONIZATION