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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.

Analysis and Comparison the Dynamical Properties for Two Hyperchaotic Systems