Chaos Synchronization Of Complex Networks And Its Application To Secure Communication

Recently, study on complex networks has become the focus of attention, and chaotic secure communication of complex networks has received ever increasing attention. Chaotic signal has the aperiodic continuous bandwidth spectrum, noise-like and the sensitivity on initial value. These properties make the chaos signal be fit for applying in secure communication and information encrypting. But now chaotic signal can be used as a carrier and transmitted together with an information signal to a receiver. At the receiver end chaos synchronization is employed to recover the information signal. The security of secure communication is relatively low. In this paper, we conducted encryption of many times for information, can greatly improve the security of secure communication. In this dissertation, the main contributions are as follows:1、Describes the basic theory of complex networks, chaos and the definition of chaotic synchronization. The status and development trend of chaotic secure communication of complex networks are mentioned. Meanwhile, the writing arrangements are given.2、Based on the Lorenz system、Chen system and Liu system, chaos synchronization of complex networks with identical nodes and different structures chaotic systems are investigated.3、Based on Lyapunov stability theorem, study the asymptotic synchronization of globally coupled network, a method is proposed for a global chaos synchronization. The chaos synchronization method of single variables bidirectional coupled and multivariate bidirectional coupled in complex networks are investigated. Take the different structure chaotic systems as nodes to construct complex networks. The methods for synchronization of chaotic with different node structure of complex networks are proposed and the coupling function of complex networks are given.4、Study on chaotic secure communication of complex networks, conducted encryption of many times for the signal which transmitted in the networks through chaotic masking. By the transmission of continuous signals and discrete signals, the efficiency of the communication system could be demonstrated. In consideration of noise interfering, the results of encoding and decoding are simulated and analyzed under the noise resistance. Analyzes the characteristics of noise and then presents a de-noising method using wavelet transform.5、Improved chaotic secure communication systems of complex networks with two nodes, propose a new scheme of chaotic secure communication. Conducted multiple encryption for secure communication system with two nodes, and increase the difficulty of deciphering. The chaotic secure communication of complex networks with identical nodes is extended to different node structures of complex networks, and it can enhance the security of signal transmission. Meanwhile, we give the security analysis for the information.