Geodesic
Solitary states in a 2D lattice of bistable elements with global and close to global interaction
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 317-329

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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.
Mots-clés : oscillator ensemble, nonlocal interaction, spatial structure
Keywords: 2D lattice, global coupling, chimera state, solitary state. 
@article{ND_2017_13_3_a1,
     author = {I. A. Shepelev and T. E. Vadivasova},
     title = {Solitary states in a {2D} lattice of bistable elements with global and close to global interaction},
     journal = {Russian journal of nonlinear dynamics},
     pages = {317--329},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_3_a1/}
}
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I. A. Shepelev; T. E. Vadivasova. Solitary states in a 2D lattice of bistable elements with global and close to global interaction. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 317-329. http://geodesic.mathdoc.fr/item/ND_2017_13_3_a1/