This paper is devoted to the study of pattern selection problems among two different types of layer-oscillating solutions (in-phase and out-of-phase breathers) of reaction-diffusion systems. εtauUt=epsilon2Uxx+f(u,v), vt =vxx+g(u,v) involving two parameters 0 < ε ≪ 1 and τ > 0. It is shown that the selected pattern, i.e. , stable observable solution, strongly depends on the location of internal layers. Especially for sufficiently small ε, the shift of pattern selection occurs arbitrarily many times from in-phase to out-of-phase, or vice versa, when two layers approach the boundary separately, while the only observable oscillation mode is out-of-phase when two layers come close.
ASJC Scopus subject areas
- Applied Mathematics