Hopf and Bautin bifurcations in a generalized Lengyel–Epstein system

Abstract

A generalized Lengyel–Epstein oscillating reaction model is proposed and analyzed. The existence of limit cycles is proved using Hopf and Bautin bifurcation theory. We analyze the dynamics of the well known chlorine dioxide–iodine–malonic acid reaction, using a differential equations system. The numerical results are shown and these agree with the experimental data reported in the literature. We found that the oscillatory behavior depends on the stoichiometric coefficients and the reactant concentrations. This work gives valuable information for applications like design, optimization, dynamics and control of the industrial chemical reactors.