Autosolitons in Active Systems with Diffusion

  • B. S. Kerner
  • V. V. Osipov
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 33)

Abstract

The properties of a tremendously great number of physical, chemical and biological systems are described by the following system of nonlinear equations similar to the diffusion ones /1–7/:

$$ \tau _i \partial X_i /\partial t\; = \;\sum\limits_{j = 1}^N {\overrightarrow \nabla } \left({L_{ij} \;\overrightarrow \nabla X_j } \right) - q_i \left( {X_1 ,...,X_i ,...,...,X_n ,A} \right).$$
(1)

Keywords

Soliton Stratification 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • B. S. Kerner
    • 1
  • V. V. Osipov
    • 1
  1. 1.Institute of Radio Engineering, Electronics and AutomaticsMoscowUSSR

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