The Study On Theory Of Function Projective Synchronization In Chaotic Systems With Perturbation

Since twenty-first Century, with the rapid development of science and technology around the world, people are able to communicate instantly accessible,information is also able to communicate with the network and other means to spread.Because the information is encrypted and transmitted in the dissemination process,hence the problem of synchronization, chaotic synchronization can greatly enhance the security of communications. Chaos as a major research direction of nonlinear science, the class system is deterministic random phenomenon. In recent years, due to the chaos and chaos synchronization application development very quickly, and because the chaotic signal have similar noise, continuous broadband spectrum sensitive to the nature of the initial value has been widely used in the field of secure communications, image processing, and has been at home and abroad scientists and researchers attention.Since most of the current synchronization of chaotic systems are based on fully synchronized research, there is now a new synchronization method gradually been extensively studied synchronization method that is a function of the projector. In secure communication due to join the function matrix enables the complexity of chaotic systems to further increase, which also makes the signal more difficult to decipher. At present, most chaotic synchronization of chaotic systems are targeted to achieve the ideal state, but in reality the process of information dissemination will inevitably encounter interference that random noise or unknown parameters,therefore, to study how to achieve the disturbed system realization function projective synchronization has a very important practical applications. Contents of this paper is organized as follows:First, this paper describes the development of the situation at home and abroad in recent decades of chaotic systems theory and its application, and a brief introduction to some common attractor chaotic system and its characteristics, and gives the Lorenz attractor and the detailed description analysis. Also it introduced several important chaotic synchronization method, and compare their advantages and disadvantages.Secondly, taking into account the reality of chaos in the system inevitably disturbed were the chaotic system function within the system parameters from interference and external interference projection synchronization problem, and taking into account the system parameters are known and unknown parameters case design method estimates unknown parameters and controller, and by Matlab simulation to validate the algorithm real and effective.Finally, the problem of chaotic systems are studied based noise function projective synchronization of chaotic system adaptive control, consider the unknown parameters, and gives estimates of the unknown parameters and controller design, the use of Matlab simulation shows algorithm for real and effective.