This article is cited in 3 scientific papers (total in 3 papers)
Nonlinear physics and mechanics
Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators
A. V. Bukh, G. I. Strelkova, V. S. Anishchenko
Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia
Effects of synchronization of chimera states are studied numerically in a two-layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each layer represents a ring of nonlocally coupled logistic maps in the chaotic mode. A control parameter mismatch is introduced to realize distinct spatiotemporal structures in isolated ensembles. We consider external synchronization of chimeras for unidirectional intercoupling and mutual synchronization in the case of bidirectional intercoupling. Synchronization is quantified by calculating the crosscorrelation coefficient between the symmetric elements of the interacting networks. The same quantity is used to determine finite regions of synchronization inside which the cross-correlation coefficient is equal to 1. The identity of synchronous structures and the existence of finite synchronization regions are necessary and sufficient conditions for establishing the synchronization effect. It is also shown that our results are qualitatively similar to the synchronization of periodic self-sustained oscillations.
multilayer networks, nonlocal coupling, chimera states, synchronization
|Russian Science Foundation
|This work was supported by DFG in the framework of SFB 910, by the Russian Ministry of Education and Science (Project Code 3.8616.2017) and by the Russian Science Foundation (grant No. 16-12-10175).
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MSC: 90B10, 34D06, 35B36
A. V. Bukh, G. I. Strelkova, V. S. Anishchenko, “Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators”, Nelin. Dinam., 14:4 (2018), 419–433
Citation in format AMSBIB
\by A. V. Bukh, G. I. Strelkova, V. S. Anishchenko
\paper Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators
\jour Nelin. Dinam.
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A. V. Bukh, E. Schoell, V. S. Anishchenko, “Synchronization of spiral wave patterns in two-layer 2D lattices of nonlocally coupled discrete oscillators”, Chaos, 29:5 (2019), 053105
M. Mikhaylenko, L. Ramlow, S. Jalan, A. Zakharova, “Weak multiplexing in neural networks: switching between chimera and solitary states”, Chaos, 29:2 (2019), 023122
G. I. Strelkova, V. S. Anishchenko, “Spatio-temporal structures in ensembles of coupled chaotic systems”, Phys. Usp., 63:2 (2020), 145–161
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