Author(s)

Wenjun Shi, Yanfeng Ding, Qiaoling Chen

Corresponding Author

Wenjun Shi

Abstract

Chaos is a very special subject in nonlinear science and mathematics. Chaotic phenomena were first discovered by Lorenz in 1963 and first given by Li Tianyan in 1975. During the period from 1970 to 1980, the chaos system developed rapidly. In the following decade, more and more scholars in the field of mathematics devoted themselves to the study of chaos theory, and began to try to control and utilize the chaotic financial system. The research done in this paper is not only the innovation in the field of theoretical research, but also the innovation in the field of application, which has great theoretical significance and application price. On the other hand, the superchaotic financial system is not only a very important economic model, but also a very important chaotic model. Since then the system has been discovered and research on the system has never stopped. Based on the control theory of nonlinear system, some new results of the system and its simplified system (chaotic financial system) control and synchronization are obtained.

Keywords

Chaotic Control, Stabilization, Chaotic System Synchronization, Chaotic Inverse Synchronization, Simultaneous and Inverse Synchronization, Introduction to Projection Synchronization