Pattern collapse as a mechanism for the formation of solitary structures

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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.
4 pages, 5 figures

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Pattern Formation and Solitons, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/136912

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3916
 http://arxiv.org/abs/0708.3916

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arXiv