Control And Synchronization Of 4-D Nonlinear Hyperchaos System

Chaos control and synchronization have been intensively studied in recent years, and they have become a hot topic in the research field of chaos. The challenging research field has become a scientific inter-discipline involving many other fields, and have significant impact on many novel engineering applications. Althrough people have done a lot of things to study this, but there was not enough consider on synchronization of hyperchaos of nonlinear system .The thesis mainly focuses on the control of chaos and synchronization of hyperchaos of nonlinear system. The main content is depicted as follows:Firstly, in first two chapters, control and synchronization of chaos and hyperchaos in the research background and study conditions are introduced, and the basic theory of chaos dynamics is presented.In the third chapter, we primarily study the problem of Qi hyperchaotic system . We realize synchronization of between hyperchaotic Qi systems by choosing the proper controllers and parameters. And based on the Lyapunov stability theory and adaptive control, numerical simulations show the effectiveness of the proposed hyperchaos control and synchronization schemes.The forth chapter discusses the control and synchronization of a new L-S hyperchaotic system. We utilize nonlinear control and adaptive control to achieve control and synchronizations between hyperchaotic Qi system and generalized L-S system. Last, numerical simulations are given to prove its effective.