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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/557

Title: Asymmetric patterns for the Gierer-Meinhardt system
Authors: Winter, M
Wei, J
Keywords: Asymmetric patterns; Pattern formation; Mathematical biology; Singular perturbation
Weak Coupling
Publication Date: 2004
Publisher: Elsevier
Citation: J Math Pures Appl 83: 358-390
Abstract: In this paper, we rigorously prove the existence and stability of K-peaked asymmetric patterns for the Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity. We show that given any positive integers k_1,\,k_2 \geq 1 with k_1+k_2=K, there are asymmetric patterns with k_1 large peaks and k_2 small peaks. Most of these asymmetric patterns are shown to be unstable. However, in a narrow range of parameters, asymmetric patterns may be stable (in contrast to the one-dimensional case).
URI: http://www.elsevier.com/wps/find/journaldescription.cws_home/600731/description#description
http://bura.brunel.ac.uk/handle/2438/557
Appears in Collections:Mathematics
School of Information Systems, Computing and Mathematics Research Papers

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