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 34.2: Talk

Wednesday, April 3, 2019, 15:30–15:45, H17

Spiral wave patterns and their synchronization in lattices of nonlocally coupled discrete-time systems — Andrei Bukh, Galina Strelkova, and •Vadim Anishchenko — Saratov State University, Saratov, Russia

We investigate numerically the spatio-temporal dynamics of a 2D lattice of coupled discrete-time systems with nonlocal interaction. The individual map is given by a universal discrete system (the Nekorkin map) proposed for modeling the neural activity. The network behavior is studied for periodic and open boundary conditions. It is shown that for certain values of the nonlinear coupling parameters, rotating spiral waves and spiral wave chimeras can be observed in the considered lattice. We analyze and compare statistical and dynamical characteristics of the local oscillators from coherence and incoherence clusters of a spiral wave chimera. We also explore the effects of partial and complete synchronization of spiral wave chimeras in two coupled lattices of discrete maps with varying the intercoupling between the networks.