| In recent years, along with the human exploration of the chaotic attractor phenomenon, gradually understand the dynamics behavior and basic characteristics, people realize that the chaotic signal is not random but seemingly random trajectory, has non periodic, continuous broadband frequency spectrum, noise like, complex and unpredictable characteristics, these characteristics make it has natural concealment, particularly suitable for secure communication as carrier, Therefore, chaotic secure communication has become a hot issue in the field of information security research.However, most of the current research about the method of the key technology of chaotic secure communication in chaos control and synchronization is founded on the boundedness. Chaotic system is bounded, its boundary estimate of chaos control, therefore, This paper focus on the boundedness for a class of nonlinear dynamical systems and synchronization issues conducted an in-depth study and discussion. At the same time, a specific effective method is presented, in order to improve the security performance and better solve the transmission rate. The paper mainly includes the following aspects:In order to complex chaotic systems as a model, we take the product of unified chaotic system with a square term instead of uniform deformation of chaotic systems, By constructing a generalized positive definite radial no Lyapunov function using linear transformation method, combined with the Lagrange function resolves the uniform boundedness problem variant chaotic systems, study of the system of community and got the system ellipsoid-shaped bounded sets, and ultimately positive invariant setvestimated. The results will be applied to chaos synchronization in chaotic systems synchronization method is proposed based on the globally attractive set, design the right system controller makes the system stable chaotic synchronization error to the origin, achieving a the deformation unified chaotic system with unified chaotic system the different structure synchronization. Through the community and the different structure of the unified chaotic system synchronization deformation numerical simulation studies to verify the effectiveness of the chaotic system controller designed to improve the performance of synchronization of chaotic systems show the correctness of the chaotic system synchronization method.The following results in the simulation of chaotic secure communication applications by a pulse synchronization method are founded:Impulsive synchronization of chaotic systems with "time frame" format can overcome some disadvantages of asymptotic synchronization of chaos, with a four-dimensional hyper chaotic system as object for study, criterion of impulsive synchronization system is from the Lyapunov index of view, realized impulsive synchronization of hyper chaotic drive response system. Since the information transmitted with considerable information redundancy, we combine the pulse synchronization with the compressed sensing technology and propose a secure communication scheme based on compressed sensing chaos synchronization pulse. Encrypted information into the launch before compressed sensing information, leaving only some important data and get rid of a lot of the remaining data, The decomposition of the synchronous pulse signal at the receiving end and signal reconstruction, reconstruction of the information and the encrypted information is no difference, then restore the original signal by chaos synchronization. Simulation results indicate that based on compression perception of pulse chaos synchronization confidential communications program not only solve redundant information transmission of the information is wide, channel utilization rate is low problem and so on,but also after the compressed sensing after the encrypted information "be reduced to fragments", even if the theft is difficult to decipher, greatly enhance the confidentiality of the confidential system, it also can reduce the costs of transmission and storage. |
