Pattern collapse as a mechanism for the formation of solitary structures

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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4 pages, 5 figures

Scientific paper

We report a new mechanism for the formation of localized states, which takes place without front propagation. Correspondingly, localized structures appear as solitary states, displaying a behavior of single independent cells. The phenomenon is observed in the liquid crystal light-valve experiment and is described by a one-dimensional normal form model. We show that such solitary structures exist when a pattern solution collapses and its ghost remains to influence the phase portrait.

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