Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1998-12-23
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 5 figures, revtex
Scientific paper
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.
Bishop Alan R.
Kladko Konstantin
Mitkov Igor
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