Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 3, Pages 317–329
DOI: https://doi.org/10.20537/nd1703002 (Mi nd568) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Original papers

Solitary states in a 2D lattice of bistable elements with global and close to global interaction

I. A. Shepelev, T. E. Vadivasova

Saratov National Research State University, ul. Astrahanskaia 83, Saratov, 410012, Russia
Full-text PDF (1257 kB) Citations (8)
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DOI: https://doi.org/10.20537/nd1703002
Abstract: This paper is concerned with the spatiotemporal dynamics of the 2D lattice of cubic maps with nonlocal coupling. Different types of chimera structures have been found. Also, the underexplored regime of solitary states has been found. It is shown that the solitary states are typical of a large coupling radius. The possibility of detecting such a regime increases with the transition to global interaction, while chimera states disappear.
Keywords: oscillator ensemble, 2D lattice, nonlocal interaction, global coupling, spatial structure, chimera state, solitary state.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.8616.2017/БЧ
Received: 28.02.2017
Accepted: 19.05.2017
Bibliographic databases:
Document Type: Article
UDC: 53.043
MSC: 34F05
Language: Russian
Citation: I. A. Shepelev, T. E. Vadivasova, “Solitary states in a 2D lattice of bistable elements with global and close to global interaction”, Nelin. Dinam., 13:3 (2017), 317–329
Citation in format AMSBIB
\Bibitem{SheVad17}
\by I.~A.~Shepelev, T.~E.~Vadivasova
\paper Solitary states in a 2D lattice of bistable elements with global and close to global interaction
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 317--329
\mathnet{http://mi.mathnet.ru/nd568}
\crossref{https://doi.org/10.20537/nd1703002}
\elib{https://elibrary.ru/item.asp?id=29993263}
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  • https://www.mathnet.ru/eng/nd/v13/i3/p317
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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