Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Generalized function projective synchronization of chaotic systems for secure communication | Xu EURASIP Journal on Advances in Signal Processing 2011 2011 14 http content 2011 1 14 o EURASIP Journal on Advances in Signal Processing a SpringerOpen Journal RESEARCH Open Access Generalized function projective synchronization of chaotic systems for secure communication Xiaohui Xu Abstract By using the generalized function projective synchronization GFPS method in this paper a new scheme for secure information transmission is proposed. The Liu system is employed to encrypt the information signal. In the transmitter the original information signal is modulated into the system parameter of the chaotic systems. In the receiver we assume that the parameter of receiver system is uncertain. Based on the Lyapunov stability theory the controllers and corresponding parameter update rule are constructed to achieve GFPS between the transmitter and receiver system with uncertain parameters and identify unknown parameters. The original information signal can be recovered successfully through some simple operations by the estimated parameter. Furthermore by means of the proposed method the original information signal can be extracted accurately in the presence of additional noise in communication channel. Numerical results have verified the effectiveness and feasibility of presented method. Mathematics subject classification 2010 68M10 34C28 93a30 93C40 Keywords Generalized function projective synchronization Scaling function factor Liu chaotic system Secure communication Parameter modulation 1 Introduction Chaos is a kind of characteristics for nonlinear systems which is a bounded unstable dynamic behavior that exhibits sensitive dependence on initial conditions and includes infinite unstable periodic motions. Since Pecora and Carroll 1 presented the conception of chaotic synchronization for two identical chaotic systems with different initial conditions many synchronization methods have been proposed such as complete synchronization CS 1 generalized
