Pattern formation in coupled reaction-diffusion systems

Takeshi Takaishi, Masayasu Mimura, Yasumasa Nishiura

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A simplified coupled reaction-diffusion system is derived from a diffusive membrane coupling of two reaction-diffusion systems of activator-inhibitor type. It is shown that the dynamics of the original decoupled systems persists for weak coupling, while new coupled stationary patterns of alternated type emerge at a critical strength of coupling and become stable for strong coupling independently of the dynamics of the decoupled systems. The approach which we use here is singular perturbation techniques and complementarily numerical methods.

Original languageEnglish
Pages (from-to)385-424
Number of pages40
JournalJapan Journal of Industrial and Applied Mathematics
Volume12
Issue number3
DOIs
Publication statusPublished - 1995 Oct

Keywords

  • Turing pattern
  • computer simulation
  • diffusive coupling
  • reaction-diffusion system
  • singular perturbation method
  • symmetry-breaking bifurcation

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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