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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 9: Symposium: Synchronization Patterns in Complex Dynamical Networks (organized by Jakub Sawicki, Sabine Klapp, Markus Bär and Jens Christian Claussen) (joint session DY/SOE)
SOE 9.3: Hauptvortrag
Freitag, 1. Oktober 2021, 15:00–15:30, ESS
Relay and complete synchronization of chimeras and solitary states in heterogeneous networks of chaotic maps — Elena Rybalova1, Eckehard Schöll2, and •Galina Strelkova1 — 1Institute of Physics, Saratov State University, Astrakhanskaya str. 83, Saratov 410012, Russia — 2Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
In this talk we discuss the phenomena of relay and complete synchronization in a heterogeneous three-layer network of chaotic maps. In the considered network two remote layers are not directly coupled but interact via a relay layer with which they are pairwise and symmetrically coupled. All the three layers represent rings of nonlocally coupled discrete-time oscillators but the relay layer is completely different in its spatiotemporal dynamics from that of the outer layers. We consider the cases when the individual elements of the relay layer and of the outer layers are described by Lozi maps and Henon maps, respectively, and vice versa. We establish and explore relay and complete synchronization of chimera structures and solitary state modes in a heterogeneous multiplex network and analyze the role of the relay layer structure in the resulted synchronous patterns. The results are illustrated by diagrams of desynchronized and synchronous regimes in the “inter-layer coupling - intra-layer coupling of the relay layer” parameter planes.