The Circuit Implementation And Synchronous Control Research Of Chaotic And Hyperchaotic System

Chaos is a seemingly irregularity and random phenomenon which happening in deterministic systems, and is very sensitivity to initial value. Hyperchaotic system is developed on the research results of chaotic system, but its structure and dynamic characteristics are more complex, and makes a wide application prospect in some fields such as information science、secure communication and so on. This paper is based on the study of the three order chaotic systems to analyse the chaotic system’s characteristics and design some analog circuits for simulation analysis, which is by the use of the learned circuit knowledge, and with the help of Matlab software and circuit simulation software. The paper also discussed the problem of synchronous control of chaotic system, and select some designed hyperchaotic system to make synchronous control study, then draw some conclusion and verified the results through the software. The full text is mainly divided into six parts.In the base of chaotic system research by the predecessors, the fourth chapter analyzed some classical chaotic system’s dynamic characteristics by using analysis methods which put forward in above paper, and verified chaotic characteristic of the chaotic circuit by designing some corresponding circuit for circuit simulation.the fifth chapter mainly introduced how to design the five order hyperchaotic systems on the base of three order chaotic systems, and how to design the corresponding hyperchaotic circuit. Finally, the sixth chapter used some synchronous control’s methods, and made some synchronous control’s analysis to the hyperchaotic systems which put forward in above paper. By adopting the FSHPS for synchronous control to two different structure five order hyperchaotic system is this paper’s innovation points, and designed corresponding controller, theory and software analysis all have confirmed the feasibility of this method.Circuit implementation which is about to Chaotic systems and hyperchaotic systems provided realistic basis for chaotic systems’ development, its synchronous control method is the important means of practical engineering application, realizing synchronous control study will provide important experimental foundation for chaotic system engineering application.