Using Δ-discriminate method to determine the stability and bifurcation of chen chaotic system

Abstract EN

The aim of this paper to found that the stability and bifurcation of Chen System by using a new method which called D- discriminate method as well as we found the stability at the second critical point P + (√(B (2r- σ), √(b (2r- σ)) ) by another method, and we showed that the new method depended on the roots to determent the stability and bifurcation of this system while the previous methods depended on the parameters s, 2r, also we showed the method which used to find the stability at the second critical point depended on the critical value c b and parameter b.

Finally, we get the same previous results but easily method.