M. Mazzotti et al., BIFURCATION-ANALYSIS OF THE OREGONATOR MODEL IN THE 3-D SPACE BROMATEMALONIC-ACID STOICHIOMETRIC COEFFICIENT, Journal of physical chemistry, 99(13), 1995, pp. 4501-4511
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.