Stability of Least Energy Patterns of the Shadow System for an Activator-Inhibitor Model

Wei Ming Ni, Izumi Takagi, Eiji Yanagida

研究成果: Article

40 引用 (Scopus)

抜粋

Stability of stationary solutions to the shadow system for the activator-inhibitor system proposed by Gierer and Meinhardt is considered in higher dimensional domains. It is shown that a stationary solution with minimal "energy" is stable in a weak sense if the inhibitor reacts sufficiently fast, while it is unstable whenever the reaction of the inhibitor is slow. Moreover, the loss of stability results in a Hopf bifurcation.

元の言語English
ページ(範囲)259-272
ページ数14
ジャーナルJapan Journal of Industrial and Applied Mathematics
18
発行部数2
DOI
出版物ステータスPublished - 2001 6

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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