Analysis and Comparison the Dynamical Properties for Two Hyperchaotic Systems

Abstract

In this paper , a new four-dimensions hyperchaotic system is proposes based on a three-dimensional Pan system by introducing a nonlinear state feedback controller, and we investigated some basic properties for this system numerically and analytically, we found the parameter c is effective on stability of new system at the point ) 0 , 0 , 0 , 0 ( O and has two roots form d b     2 1 ,   while has root 0 1   at the points 2 , 1 p , and we compare the properties of a new system with properties of another 4D hyperchaotic system and show the difference between them, Finally, an illustrative example is given.