title: Localized structures in nonlinear lattices with diffusive coupling and external driving
abstract: We 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.
authors.affiliation: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.initials: I
authors.lastname: Mitkov
authors.initials: K
authors.lastname: Kladko
authors.initials: AR
authors.lastname: Bishop