Isothermal flame balls: Effect of autocatalyst decay

Éva Jakab, Dezso Horváth, John H. Merkin, Stephen K. Scott, Péter L. Simon, Ágota Tóth

Research output: Contribution to journalArticle

6 Citations (Scopus)


The symmetric solutions to the reaction-diffusion equations based on a simple autocatalytic reaction were studied. The steady concentration profile was determined based on the rate of decay of the autocatalyst relative to its autocatalytic production. It was found that a change in the stability appeared when there were multiple solutions, which was through a subcritical Hopf bifurcation.

Original languageEnglish
Article number036210
Pages (from-to)362101-362109
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3 2
Publication statusPublished - Sep 1 2003


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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