Loss of chaos synchronization in coupled Rossler systems

Abstract

We study process of loss of complete chaos synchronization in interacting oscillators which demonstrates cascade of period—doubling bifurcations. It is shown that bifurcations of main family of saddle cycles embedded in chaotic attractor lead to loss of the synchronous regime robustness and appearance of limit sets located in vicinity of symmetrical subspace. Bifurcations of nonsymmetrical limit sets lead to formation of complex structure of attractor basins. The transition to hyperchaos regime which appears as a result of merge of some chaotic sets completes the loss of chaos synchronization.