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Correlation analysis of the coherence-incoherence transition in a ring of nonlocally coupled logistic maps
Tatiana E Vadivasova1, Galina I Strelkova1, Sergey A Bogomolov1
1Department of Physics, Saratov National Research State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
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.
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