Controlling Hyperchaos and Chaotic Projective Hybrid Synchronization with Time Delay in a Three Positive Lyapunov Exponents of New Four Dimensions Chen System by Adaptive Control

Abstract

This paper examined chaos and control of hyperchaos for the three positive Lyapunov exponents of the new four dimensions Chen system. By applying numerical results, phase portrait, Lyapunov exponent and power spectrum were manifested and chaotic, hyperchaotic and three positive Lyapunov exponents of chaotic motions were thereby observed. Finally, adaptive control algorithm was used to effectively control chaos and chaos synchronization.