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Pattern selection in a reaction-diffusion equation |
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| Authors: | Wang Ping Hsieh Din-Yu Tang Shaoqiang |
| Institution: | (1) Department of Mechanics and Engineering Science, Peking University, 100871 Beijing, China;(2) Division of Applied Mathematics, Brown University, Providence, USA;(3) State Key Laboratory for Turbulence Research, Department of Mechanics and Engineering Science, Peking University, 100871 Beijing, China |
| Abstract: | 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. The project supported by Chinese Special Funds for Major State Basic Research Project “Nonlinear Science”, and NSFC (10002002 and 19990510) |
| Keywords: | pattern bifurcation initial profile |
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