SUBCRITICAL HOPF BIFURCATION INGEORGE SYSTEM

Abstract

In this paper we further explore the bifurcation and the stability of a dual system to Lorenz system, called George system. The system has a rich structure, possessing a subcritical Hopf bifurcation and a chaotic attractor. The equilibrium point studied is unstable. Using a rigorous mathematical analysis based on symbolic computations, there are obtained some subtle insights on stability and bifurcation.