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This article is cited in 30 scientific papers (total in 30 papers)
Synchronization of Chimera States in a Network of Many Unidirectionally Coupled Layers of Discrete Maps
Galina I. Strelkova, Tatiana E. Vadivasova, Vadim S. Anishchenko Department of Physics, Saratov State University,
ul. Astrakhanskaya 83, Saratov, 410012 Russia
Abstract:
We study numerically external synchronization of chimera states in a network of many unidirectionally coupled layers, each representing a ring of nonlocally coupled discretetime systems. The dynamics of each element in the network is described by either the logistic map or the bistable cubic map. We consider two cases: when all $M$ unidirectionally coupled layers are identical and when $(M-1)$ identical layers differ from the first driving layer in their nonlocal coupling parameters. It is shown that the master chimera state in the first layer can be retranslating along the network with small distortions which are defined by a parameter mismatch. We also analyze the dependence of the mean-square deviation of the structure in the ith layer on the nonlocal coupling parameters.
Keywords:
synchronization, many layer network, chimera states, nonlocal coupling, unidirectional coupling.
Received: 09.07.2018 Accepted: 16.08.2018
Citation:
Galina I. Strelkova, Tatiana E. Vadivasova, Vadim S. Anishchenko, “Synchronization of Chimera States in a Network of Many Unidirectionally Coupled Layers of Discrete Maps”, Regul. Chaotic Dyn., 23:7-8 (2018), 948–960
Linking options:
https://www.mathnet.ru/eng/rcd376 https://www.mathnet.ru/eng/rcd/v23/i7/p948
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Abstract page: | 181 | References: | 27 |
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