Criteria of the Existence of Moving Structures in Two-Component Reaction-Diffusion Systems
The conditions of propagating and non-propagating structures in two-component reaction-diffusion systems with τp /τs “ 1 and ℓpℓs ” 1 (where τp,τs are characteristic relaxationtimes, and ℓpℓs 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=ℓp/τp, Vs=ℓs/τs 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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