Global Bifurcation Diagram in Nonlinear Diffusion Systems

Hiroshi Fujii, Yasumasa Nishiura

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This chapter discusses the global phenomena of pattern formation in the systems of reaction–diffusion equations. The system is assumed to possess Turing's diffusion-induced instability, which appears typically in mathematical biology. A key in this chapter is the discovery of singular branches that possess both boundary and interior transition layers and of singular limit points as its consequence. The structure of solutions at the singular-shadow edge seems to play the pole of the organizing centre of the whole global structure.

Original languageEnglish
Pages (from-to)17-35
Number of pages19
JournalNorth-Holland Mathematics Studies
Volume81
Issue numberC
DOIs
Publication statusPublished - 1983 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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