High-Order Analysis of Canard Explosion in the Brusselator Equations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Detail(s)

Original languageEnglish
Article number2050078
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume30
Issue number5
Publication statusPublished - Apr 2020

Abstract

The aim of this paper is to obtain a high-order approximation of the canard explosion in the Brusselator equations. This classical chemical system has been extensively studied but, until now, only first-order approximation to the canard explosion has been provided. Here, with the help of the nonlinear time transformation method, we are able to obtain an approximation to any desired order. Our results strongly agree with those obtained by numerical continuation.

Research Area(s)

  • Brusselator, Canard explosion, Hopf bifurcation, nonlinear time transformation, perturbation method