LOSS OF CHAOS SYNCHRONIZATION THROUGH THE SEQUENCE OF BIFURCATIONS OFSADDLE PERIODIC-ORBITS

In the work we investigate the bifurcational mechanism of the loss of stability of the synchronous chaotic regime in coupled identical syste ms. We show that loss of synchronization is a result of the sequence o f soft bifurcations of saddle periodic orbits which induce the bubblin g and riddling transitions in the system. A bifurcation of a saddle pe riodic orbit embedded in the chaotic attractor determines the bubbling transition. The phenomenon of riddled basins occurs through a bifurca tion of a periodic orbit located outside the symmetric subspace.