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.
This work was supported by DFG in the framework of SFB 910 project and by the Russian Ministry of Education and Science (Project Code 3.8616.2017/8.9).
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
\Bibitem{StrVadAni18}
\by Galina I. Strelkova, Tatiana E. Vadivasova, Vadim S. Anishchenko
\paper Synchronization of Chimera States in a Network of Many Unidirectionally Coupled Layers of Discrete Maps
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 7-8
\pages 948--960
\mathnet{http://mi.mathnet.ru/rcd376}
\crossref{https://doi.org/10.1134/S1560354718070092}
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