Analysis and comparison the dynamical properties for two hyperchaotic systems

Abstract EN

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,o,o,0) and has two roots form ^ = -b, ^ = -d while has root AX = Q at the points gu , 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.