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

    Received 28 February 2017; accepted 15 May 2017

    2017, Vol. 13, No. 3, pp.  317-329

    Author(s): Shepelev I. A., Vadivasova T. E.

    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
    Citation: Shepelev I. A., Vadivasova T. E., Solitary states in a 2D lattice of bistable elements with global and close to global interaction, Rus. J. Nonlin. Dyn., 2017, Vol. 13, No. 3, pp.  317-329
    DOI:10.20537/nd1703002


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