Nonhyperbolic Singularities in a Chemical Model

Abstract

A two-dimensional system with four positive parameters is investigated from a dynamical bifurcation point of view. The manifolds where a triple and a double equilibrium exist and the manifold defined by the presence of equilibrium with a double-zero eigenvalue is defined by parametric expressions. Then on the basis of these parametric expressions, we prove in the system the existence of a saddle-node and cusp bifurcation