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This article is cited in 6 scientific papers (total in 6 papers)
NONLINEAR DYNAMICS
Cloning of chimera states in a multiplex network of two-frequency oscillators with linear local couplings
A. S. Dmitricheva, D. S. Shchapina, V. I. Nekorkinba a Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia
b Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
Abstract:
Cloning of chimera states, which is a new effect caused by the short-term interaction in a multiplex network, has been described. This effect is observed when two ring networks of linearly coupled two-frequency (bistable) oscillators are combined into the multiplex network. At certain values of the strength and duration of the inter-ring (multiplex) interaction, a copy of a chimera state with accuracy to phases in the incoherent part is formed in the ring with an initially random phase distribution. It has been shown that the effect is structurally stable and is due to the competition of self-sustained oscillations in individual rings.
Received: 06.07.2018 Revised: 17.09.2018
Citation:
A. S. Dmitrichev, D. S. Shchapin, V. I. Nekorkin, “Cloning of chimera states in a multiplex network of two-frequency oscillators with linear local couplings”, Pis'ma v Zh. Èksper. Teoret. Fiz., 108:8 (2018), 574–579; JETP Letters, 108:8 (2018), 543–547
Linking options:
https://www.mathnet.ru/eng/jetpl5730 https://www.mathnet.ru/eng/jetpl/v108/i8/p574
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Abstract page: | 205 | Full-text PDF : | 16 | References: | 30 | First page: | 6 |
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