中文摘要：

This paper studies the pattern selection in a spatially-periodic prob-lem of a simplified reaction-diffusion system described by an evolutionary Duffingequation. Numerical explorations by a pseudo-spectral method reveal the depen-dence of the pattern formation on the initial profile as well as the parameter. Onlypatterns with 2~m humps are found to be meta-stable in the corresponding parameterranges.

英文摘要：

This paper studies the pattern selection in a spatially-periodic problem of a simplified reaction-diffusion system described by an evolutionary Duffing equation. Numerical explorations by a pseudo-spectral method reveal the dependence of the pattern formation on the initial profile as well as the parameter. Only patterns with 2 m humps are found to be meta-stable in the corresponding parameter ranges.