Research Of Chaos Theory And Its Application In Secure Communication

Chaos is a kind of seeming random, chance or irregular movement, which appears in a definiteness system. Great achievement has been gained in theoretical study of chaos over the past several decades since it had been developed in 1970's. After all, it's a new discipline so it isn't mature and need perfecting. The research on chaos theory will have huge theoretical significance and practical application value. With the further research of chaos phenomenon, chaos control and synchronization becomes an advanced research field.This dissertation introduces systematically the development and actuality of chaos, and moreover, the purpose and significance of researching chaos theory is expatiated. A new chaotic system is analyzed particularly. The dynamics behavior is researched. At same time the qualitative character and the effect of controls parameter to this system is analyzed. All the researches provide the theoretic basis of the problem about chaotic secure communication. Then the theory and realization methods about chaotic secure communication are summarized. This paper researches deeply and compared about some kind of chaos synchronization methods by systematical analysis and numerical simulation method, which include Pecora-Carroll synchronization method, feedback synchronization method, couple synchronization method and self-adapt synchronization method. Synchronization system models of some different methods is designed and analyzed. On these bases the chaotic secure communication models are given and simulated. All these validate that the synchronization system models is feasible about used in secure communication.Systemic chaotic theory is given by the above researches and simulations. The new chaotic system analyzed in the paper has abundant dynamics characters, which made it has wide application foreground in chaos researching field. Synchronization system models of some different methods can be applied in secure communication. These researches have a kind of theoretic significance and practical value.