Application of the parametric representation method to construct bifurcation diagrams for highly non-linear chemical dynamical systems

Abstract

The parametric representation method has been shown to be a useful geometric tool to study tangent and Hopf bifurcations in chemical systems. As an example, we investigate the behaviour of a two-dimensional system of differential equations. This general model includes some known catalytic oxidation models as special cases. The general system can have one or three stationary solutions depending on the parameter values. The parametric representation method is applied to construct bifurcation diagrams for multistationarity and stability.