Interaction of Turing and Hopf modes in the superdiffusive Brusselator model

J. C. Tzou, Bernard J Matkowsky*, Vladimir Volpert

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

Long-wave stability of spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model is analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by ∂α / ∂

Original languageEnglish (US)
Pages (from-to)1432-1437
Number of pages6
JournalApplied Mathematics Letters
Volume22
Issue number9
DOIs
StatePublished - Sep 1 2009

Keywords

  • Amplitude equations
  • Brusselator model
  • Superdiffusion
  • Turing-Hopf codimension-2 bifurcation
  • Weakly nonlinear analysis

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Interaction of Turing and Hopf modes in the superdiffusive Brusselator model'. Together they form a unique fingerprint.

  • Cite this