Pattern collapse as a mechanism for the formation of solitary structures

U. Bortolozzo; M. G. Clerc; C. Falcón; S. Residori

Pattern collapse as a mechanism for the formation of solitary structures

Pattern Formation and Solitons 2007-08-30 v1 Adaptation and Self-Organizing Systems

Authors: U. Bortolozzo , M. G. Clerc , C. Falcón , S. Residori

Abstract

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.

Keywords

pattern collapse solitary structures localized states liquid crystal light-valve normal form model phase portrait nonlinear dynamics

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@article{arxiv.0708.3916,
  title  = {Pattern collapse as a mechanism for the formation of solitary structures},
  author = {U. Bortolozzo and M. G. Clerc and C. Falcón and S. Residori},
  journal= {arXiv preprint arXiv:0708.3916},
  year   = {2007}
}

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4 pages, 5 figures

Pattern collapse as a mechanism for the formation of solitary structures

Abstract

Keywords

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