Chaotic And Hyperchaotic Systems Synchronization Method And Circuit Experiments

For the practical application, three methods of realizing and improving chaotic synchronization have been researched, and the methods consist of controlling chaotic and hyperchaotic synchronization, impulsive synchronization, rotate coordinates transformation improving synchronization. In the process of discussion, theoretic analysis, numerical calculation and circuit experiment have been integrated and they provide theory and experiment foundation for practical application of chaotic and hyperchaotic synchronization.hi the method of controlling synchronization, pole-placement method of control theory has been applied to analyze controlling synchronization, and the synchronization condition of two dimension and three dimension discrete system has been given. The correctness of theoretic analysis has been proved through numerical calculation in some systems.In the method of impulsive synchronization, both seriate system and discrete system have been discussed. A series of discrete hyperchaos systems that have the lowest dimension have been constructed, and we have achieved the impulsive synchronization of discrete system in circuit. There is no report about circuit experiment of discrete chaotic and hyperchaotic synchronization up to now, so our experiment is innovatory. The impact of outer noise on impulsive synchronization also has been discussed for further practical application, and the result shows that the system is robust.We first advanced the scheme of chaotic and hyperchaotic synchronization system with a scalar transmitted signal through the method of rotate variable of system. This scheme can improve the chaotic and hyperchaotic synchronization, and the system that has been designed on this scheme is more applicative.All the three schemes have achieved perfect result, and they provide abundant theory foundation for the practice application of chaotic and hyperchaotic synchronization, so they have instructive meaning.