The Generation of Hyperchaotic System and its Circuit Implementation

Abstract

Based on the chaos anti-control theory, a new Lorenz hyper chaotic system family is proposed by adding a linear controller to the three dimensional autonomous Lorenz system family in this paper. It has been verified that the systems in the newly proposed family have the possibility of hyper chaos by analyzing their symmetry, dissipation, the stability of their equilibrium points, as well as the Lyapunov exponent spectrum. The circuits of hyper chaotic systems are given, from which hyper chaotic attractors are obtained. Thus the feasibility of this method can be proved.