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Эта публикация цитируется в 12 научных статьях (всего в 12 статьях)
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
Аннотация:
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.
Ключевые слова:
multilayer networks, nonlocal coupling, chimera states, synchronization.
Поступила в редакцию: 19.09.2018 Принята в печать: 22.10.2018
Образец цитирования:
A. V. Bukh, G. I. Strelkova, V. S. Anishchenko, “Synchronization of Chimera States in Coupled Networks of Nonlinear Chaotic Oscillators”, Нелинейная динам., 14:4 (2018), 419–433
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd623 https://www.mathnet.ru/rus/nd/v14/i4/p419
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