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题名: Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel
作者: Chen, Chao-Nien;Ei, Shin-Ichiro;Lin, Ya-Ping
贡献者: 數學系
关键词: Reaction-diffusion system;Turing pattern;Wavefront
日期: 2010
上传时间: 2013-06-05T07:32:33Z
出版者: Society for Industrial and Applied Mathematics
摘要: This paper deals with reaction-diffusion systems on an infinitely long strip in R2. Through a pitchfork bifurcation, spatially heterogeneous patterns exist in a neighborhood of Turing instability. Motivated by the works of Kondo and Asai, we study wavefront solution heteroclinic to Turing patterns. It will be seen that the dynamics of a wavefront can be approximated by a fourth order equation of buckling type. � 2010 Society for Industrial and Applied Mathematics.
關聯: SIAM Journal on Applied Mathematics, 70(8): 2822-2843
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