Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 34: Dynamics of Multilayer Networks II (Focus Session SOE/DY/BP) (joint session SOE/BP/DY)
DY 34.5: Talk
Wednesday, April 3, 2019, 16:15–16:30, H17
Synchronization of chimera states in multilayer heterogeneous network of nonlocally coupled maps — •Elena Rybalova1, Galina Strelkova1, Tatiana Vadivasova1, and Anna Zakharova2 — 1Saratov State University, Saratov, Russia — 2Technical University, Berlin, Germany
We present numerical results on the study of a complex network composed of many asymmetrically coupled heterogeneous layers of nonlocally coupled logistic maps. Transmission and synchronization of chimera states realized in the first (master) layer is considered for mutual and unidirectional inter-coupling between the layers. It is shown that there is a threshold of the forced synchronization, which is different for various chimeras (phase and amplitude) in the master layer. It is established that the presence of feedback (backward) inter-coupling is a significant obstacle for global synchronization across the network. We also analyze and compare the role of heterogeneity in control and coupling parameters on the degree of forced synchronization.