Localized Structures in Nonlinear Lattices with Diffusive Coupling and External Driving

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dc.creatorMitkov, Igor
dc.creatorKladko, Konstantin
dc.creatorBishop, A. R.
dc.date1998-12-23
dc.date.accessioned2026-07-07T05:43:28Z
dc.date.available2026-07-07T05:43:28Z
dc.descriptionWe study the stabilization of localized structures by discreteness in one-dimensional lattices of diffusively coupled nonlinear sites. We find that in an external driving field these structures may lose their stability by either relaxing to a homogeneous state or nucleating a pair of oppositely moving fronts. The corresponding bifurcation diagram demonstrates a cusp singularity. The obtained analytic results are in good quantitative agreement with numerical simulations.
dc.description4 pages, 5 figures, revtex
dc.identifierhttps://arxiv.org/abs/patt-sol/9812008
dc.identifierhttp://arxiv.org/abs/patt-sol/9812008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83317
dc.subjectPattern Formation and Solitons
dc.titleLocalized Structures in Nonlinear Lattices with Diffusive Coupling and External Driving
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