Research On Chaotic Synchronization And Its Secure Communication

Chaotic systems are very sensitive to initial conditions,and their chaotic signals are unpredictable,highly random and highly complex.However,the dimensionless mathematical model,initial value and system parameters of the chaotic system are knowable and can be set artificially.These characteristics of chaos make it suitable for application in secure communication field.At present,many achievements have been made in the theoretical research and engineering application of chaos synchronization.However,considering that the study of fractional-order chaotic systems and high-dimensional autonomous dynamical systems is still at the primary stage,there is still a lack of comprehensive understanding of the effects of system parameters on their dynamical properties,and there are still fuzzy concepts about the synchronization of fractional-order chaotic systems.In this paper,the five-dimensional integer-order Pan-like chaotic system and the three-dimensional fractional-order EI-Nino chaotic system are selected as the research objects,and the necessary theoretical analysis and relevant numerical calculation are carried out for their chaotic models.The numerical simulation of the chaotic system is carried out by using Matlab,and the phase diagram and bifurcation diagram of system state variables changing with system parameters are given.Its dynamic characteristics were analyzed in detail.Adaptive chaotic synchronization method,state observer synchronization method and self-synchronization method are used to study the synchronization of integer-order Pan-like chaotic systems.The synchronization of fractional-order EI-Nino chaotic systems is studied by using full state projection synchronization method,mutual coupling synchronization method and feedback linearization synchronization method.Through theoretical derivation and Matlab simulation,the effectiveness of the synchronization method is proved,and on the basis of system synchronization,the research on secure communication is carried out.According to the dimensionless equation of the chaotic system,the circuits of the five-dimensional integer-order Pan-like chaotic system and the three-dimensional fractionalorder EI-Nino chaotic system are built respectively by using Multisim,and the chaotic synchronization circuit is designed and the secure communication simulation is carried out.The ultimate purpose of this paper is to use double chaotic system,using the method of multi-channel random jump to secure communications,in the communication process,the original signal is broken down into multiple signal fragments of random length,and the original signal fragments are allocated to different channels for information transmission.The original signal segment in each transmission channel is encrypted by random jump of chaotic signals from the two systems,which greatly enhances the security strength of the secure communication.