Criteria of the Existence of Moving Structures in Two-Component Reaction-Diffusion Systems

  • Yu. D. Kalafati
  • Yu. A. Rzhanov
Part of the Research Reports in Physics book series (RESREPORTS)


The conditions of propagating and non-propagating structures in two-component reaction-diffusion systems with τps “ 1 and ℓps ” 1 (where τps are characteristic relaxationtimes, and ℓps are cha characteristic diffusion lengths of subsystems) are considered theoretically. The model with piece-wise linear sources was used to show that ratio Vp/Vs (where Vp=ℓpp, Vs=ℓss are characteristic velocities of subsystems) is a bifurcation parameter, which determines whether propagating or non-proapgating structures exist or not. In this model stable non-propagating structures occur only if vp /vs < 1. Otherwise (vp/vs > 1) the propagating stable structures arise and the non-propagating ones loose their stability.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Yu. D. Kalafati
    • 1
  • Yu. A. Rzhanov
    • 1
  1. 1.Institute of RadioelectronicsUSSR Academy of SciencesMoscowUSSR

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