Correlation analysis of the coherence-incoherence transition in a ring of nonlocally coupled logistic maps

Tatiana E Vadivasova; Galina I Strelkova; Sergey A Bogomolov; Vadim S Anishchenko

doi:10.1063/1.4962647

Correlation analysis of the coherence-incoherence transition in a ring of nonlocally coupled logistic maps

Chaos. 2016 Sep;26(9):093108. doi: 10.1063/1.4962647.

Authors

Tatiana E Vadivasova¹, Galina I Strelkova¹, Sergey A Bogomolov¹, Vadim S Anishchenko¹

Affiliation

¹ Department of Physics, Saratov National Research State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.

PMID: 27781464
DOI: 10.1063/1.4962647

Abstract

We present numerical results for a set of bifurcations occurring at the transition from complete chaotic synchronization to spatio-temporal chaos in a ring of nonlocally coupled chaotic logistic maps. The regularities are established for the evolution of cross-correlations of oscillations in the network elements at the bifurcations related to the coupling strength variation. We reveal the distinctive features of cross-correlations for phase and amplitude chimera states. It is also shown that the effect of time intermittency between the amplitude and phase chimeras can be realized in the considered ensemble.