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
Highlights
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
Motivated by the above discussions, this paper proposes a new secure communication scheme based on generalized function projective synchronization (GFPS) of uncertain Liu chaotic system and parameter modulation
5 Conclusions In this paper, a novel chaotic secure communication scheme based on GFPS and parameter modulation is proposed
Summary
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. Many studies concentrate on FPS of chaotic systems and its application to secure communication [13,14,15,16,17,18,19,20]. Du et al [15] studied GFPS in coupled chaotic systems and its application in secure communication. In many existing secure communication methods, the information signal is directly added to input of chaotic systems. Motivated by the above discussions, this paper proposes a new secure communication scheme based on GFPS of uncertain Liu chaotic system and parameter modulation. Based on the Lyapunov stability theory, we design the controllers and the parameter update rule to realize GFPS of uncertain Liu chaotic systems and identify the unknown parameter of the receiver system.
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