INVESTIGATION OF THE STABILITY AND THE ANTI-SYNCHRONIZATION OF THE BRUSSELATOR CHEMICAL REACTION MODEL

Abstract

We consider the stability and bifurcation of the famous Brusselator chemical reaction-diffusion model. To reveal the mechanism with which the transition between the fast and slow process happens, we employ the slow-fast analysis method. For the stability, it is done through coordinate transformation in order to separate the system into slow and fast subsystems. We will use the integral sliding mode control law to show the anti- synchronization of the model for all initial conditions.