High-Order Analysis of Canard Explosion in the Brusselator Equations

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


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