Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 58: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)
DY 58.9: Talk
Thursday, March 15, 2018, 12:15–12:30, BH-N 128
Synchronization of chimera states in two-layer networks of nonlocally coupled chaotic maps — •Galina Strelkova1, Andrei Bukh1, Eckehard Schöll2, and Vadim Anishchenko1 — 1Saratov State University, Saratov, Russia — 2Technical University of Berlin, Berlin, Germany
We explore numerically synchronization effects and their dynamical and statistical properties in two different two-layer networks of nonlocally coupled chaotic maps. The first network is represented by two coupled one-layer networks of nonlocally coupled identical logistic maps with a control parameter detuning. The second two-layer network we study is made of two coupled one-layer networks of nonlocally coupled chaotic Henon and Lozi maps. We show that both two-layer networks under consideration can demonstrate the phenomena of external and mutual synchronization of various complex spatiotemporal structures, including different chimera states. We quantify the identity of synchronous structures by calculating the cross-correlation coefficient. In the synchronization regime this characteristic is very close to 1. We also show that the synchronization phenomena in the considered two-layer networks are observed within a finite region in the parameter space. To illustrate this we construct the synchronization regions for synchronized chimera structures in the plane of two control parameters of the considered networks.