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Theory of self-replication and granulation of spike autosolitons

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
222
Issue
6
Identifiers
DOI: 10.1016/s0375-9601(96)00688-3
Keywords
  • Nonlinear Science

Abstract

Abstract Recent experimental and numerical studies have shown that self-replication and granulation of the solitary patterns may lead to labyrinthine patterns or turbulence. We propose mechanisms for self-replication and granulation of one of the basic types of solitary patterns — spike autosolitons. We find the conditions for these effects to occur on the basis of an analytical study of the shape and stability of static spike autosolitons in a reaction-diffusion system. We prove that these effects are related to the buildup of the short-wave perturbations of a certain shape.

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