A Study Of Control And Synchronization On A New Hyperchaotic System

Recently, chaos was researched widespread and through. Science workers'visual field turned to the search of hyperchaotic system based on lower chaotic system's research is mature day by day. Hyperchaotic system is the chaos which has two or two more positive Lyapunov exponents. Its orbits separate on several directions. It has more complicated dynamical behavior than the lower chaotic system. It is applied extensive in the application area, such as circuit, laser, biology, medical science, engineering and so on. Therefore hyperchaotic system has already received the far-ranging interest of the science workers. Now they have already proposed hyperchaotic Lorenz system, hyperchaotic Chen system, hyperchaotic Rossler system and so on.The complicated hyperchaotic signals can improve the security of the communication. It has important theory meaning and applicational worth, and the security of communication related with its control and synchronization. Therefore, the search on control and synchronization of hyperchaotic system has been paid more attention. A variety of approaches have been proposed for the control of hyperchaotic system, such as linear feedback, pulse control and so on. And the methods of synchronization include nonlinear feedback method, coupling method, status observer method and so on.In this paper, the character of a new hyperchaotic system was analysised by numeral simulation. The running status can be described by the analysis of Lyapunov exponent and bifurcation. The simulation and experiment of the circuit was reserched through circuit designed. The control was reserched by linear feedback control method and differential feedback control method. The synchronization and anti-synchronization were studied by nonlinear feedback method, coupling synchronization method and global control method and status observer method. The conrtollers were proved by numeral simulation.The simple circuit was designed and checked the feasibility by Pspice. The same results of the circuit as numeral simulation were received by oscillograph.The effectiveness of the controllers was verified. In addition, the equivalent synchronizational circuit was designed through the analsis of theory. The questions that the stability of complicated circuit was worse and the application was complex were all avoided. It is very imprtant in application area.