Transition from complete synchronization to spatio-temporal chaos in coupled chaotic systems with nonhyperbolic and hyperbolic attractors

Elena Rybalova; Nadezhda Semenova; Galina Strelkova; Vadim Anishchenko

doi:10.1140/epjst/e2017-70023-1

EPJ

Transition from complete synchronization to spatio-temporal chaos in coupled chaotic systems with nonhyperbolic and hyperbolic attractors

Elena Rybalova, Nadezhda Semenova, Galina Strelkova and Vadim Anishchenko^a

Saratov State University, 83 Astrakhanskaya street, Saratov, 410012, Russia

Received: 30 January 2017
Revised: 9 March 2017
Published online: 21 June 2017

Abstract

We study the transition from coherence (complete synchronization) to incoherence (spatio-temporal chaos) in ensembles of nonlocally coupled chaotic maps with nonhyperbolic and hyperbolic attractors. As basic models of a partial element we use the Henon map and the Lozi map. We show that the transition to incoherence in a ring of coupled Henon maps occurs through the appearance of phase and amplitude chimera states. An ensemble of coupled Lozi maps demonstrates the coherence-incoherence transition via solitary states and no chimera states are observed in this case.