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Title: Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems
Authors: Chen, Chao-Nien;Ei, Shin-Ichiro;Lin, Ya-Ping;Kung, Shih-Yin
Contributors: 數學系
Keywords: Anisotropic diffusion;Reaction-diffusion system;Standing wave;Turing pattern
Date: 2011-06
Issue Date: 2013-06-05T07:32:35Z
Publisher: Taylor & Francis Group, LLC
Abstract: An article by Kondo and Asai demonstrated that the pattern formation and change on the skin of tropical fishes can be predicted well by reaction-diffusion models of Turing type. As being observed, a common pattern structure is the rearrangement of stripe pattern, and defect like heteroclinic solution appeared between the patterns with different number of stripes. We consider FitzHugh-Nagumo type reaction-diffusion systems with anisotropic diffusion. Under a sufficient condition in diffusivity, we apply variational arguments to show the existence of standing waves joining with Turing patterns.
Relation: Communications in Partial Differential Equations, 36(6): 998-1015
Appears in Collections:[math] Periodical Articles

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