Control And Synchronization Of A New Hyperchaotic System

Chaos, as one of important parts of the nonlinear, it reveals the natural world and human society are prevalent in the complex nature of the unity of order and disorder, uncertainty and randomness of the unity of the people's vision to broaden and deepen the understanding of the objective world. In recent years, chaos control and synchronization, and become the basis of the current study the natural sciences, one of the most popular topics. In this paper, nonlinear dynamic system around the hyperchaotic synchronization control and an in depth study and discussion. Mainly include the following content.Firstly, control and synchronization of chaos and hyperchaos in the research background and study conditions are introduced, systematically discussed hyperchaos and chaos the definition of the basic characteristics of the control and synchronization of the kinetic theory.Second, we primarily study the problem of the stability of equilibrium point in the hyperchaos system for a new hyperchaotic system. Introduced the dynamic behavior of the system. Analysis of the hyperchaotic system in the stability of its equilibrium point, and the use of Routh-Hurwitz theorem is proved that the system only in its unstable equilibrinm point.Once again, discussed the hyperchaotic system control and synchronization problem. First of all, the use of linear feedback method, the system control to unstable equilibrium point of the sufficient condition. Finally, the use of nonlinear feedback method, a sufficient condition for a synchronization. Theory and simulation results prove the effectiveness of two methods above.Finally, we summarize the whole dissertation and the further research in the future.