The Stability and Bifurcation of Liu chaotic system

Abstract

In this paper, a three dimensional autonomous chaotic system is considered (Liu system) which is discovered by the scientist Liu in 2004, we begin to study the new system with a rich structure, we obtained some information on stability and bifurcation. We show that this system is unstable at origin while has asymptotically stable under the condition at the other critical points where a,b,c are a positive parameters of this system . The system possesses a Hopf bifurcation, finally an illustrative example is given .