BIFURCATION-ANALYSIS OF THE OREGONATOR MODEL IN THE 3-D SPACE BROMATEMALONIC-ACID STOICHIOMETRIC COEFFICIENT

By considering the classical Oregonator model, the effect of the main reactants, i.e., bromate and malonic acid, on the behavior of the Belo usov-Zhabotinskii system is studied. This analysis is a prerequisite f or the understanding of the occurrence and disappearance of oscillatio ns in batch reactors. A parametric analysis of the Oregonator in the t hree-dimensional space spanned by the bromate concentration, the malon ic acid concentration, and the stoichiometric coefficient f is perform ed. Through asymptotic stability analysis the Hopf bifurcation set in the parameter space is determined analytically, whereas its character is defined through normal form analysis. In this study the most plausi ble values of the kinetic parameters, namely the ''Lo'' values propose d by Tyson (Tyson, J. J. In Oscillations and Traveling Waves in Chemic al Systems; Field, R. J., Burger, M., Eds.; Wiley-Interscience: New Yo rk, 1985), are used. The system may exhibit both sub- and supercritica l Hopf bifurcations, and near the latter the phenomenon of canard expl osion has been observed. The results obtained with the ''Hi'' values a re also reported for a comparison with previous studies in the literat ure.