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Predicted formation of localized superlattices in spatially distributed reaction-diffusion solutions

M. Tlidi*, G. Sonnino, and M. Bachir

  • Faculté des Sciences, Université Libre de Bruxelles (U. L. B.), Service de Physique Mathématique, CP 231, Campus Plaine, B-1050 Bruxelles, Belgium

  • *Fonds de la Recherche Scientifique F.R.S.-FNRS, Belgium.
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Phys. Rev. E 86, 045103(R) – Published 16 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.045103

Abstract

We study numerically the formation of localized superlattices in spatially distributed systems. We predict that in wide regions of the parameter space, stable localized, either bright or dark, superlattices may form in reaction-diffusion systems. Localized superlattices are patterns which consist of a piece of superlattice. Each single ring is surrounded by spots. The number of rings and their spatial distribution are determined by the initial conditions. The peak concentration remains unaltered for fixed values of the parameters.

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Phys. Rev. E 86, 045103(R)– Published 16 October, 2012
  • Received 2 March 2012

©2012 American Physical Society

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