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- W2016603088 abstract "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[ varepsilon tau u_t = varepsilon ^2 u_{xx} + f( {u,upsilon } ),quad upsilon _t = upsilon _{xx} + g( {u,upsilon } ) ] involving two parameters $0 < varepsilon ll 1$ and$tau > 0$. It is shown that the selected pattern, i.e., stable observable solution, strongly depends on the location of internal layers. Especially for sufficiently small $varepsilon$, the shift of pattern selection occurs arbitrarily many times from in-phase to out-of-phase, or vice versa, when two layersapproach the boundary separately, while the only observable oscillation mode is out-of-phase when twolayers come close." @default.
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- W2016603088 title "Pattern Selection for Two Breathers" @default.
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- W2016603088 doi "https://doi.org/10.1137/s0036139992237250" @default.
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