Control and Synchronization of a New Class of Finance Chaotic Systems

In this paper, a class of improved finance chaotic systems is constructed, which is more in line with actual economic activities. The dynamic behaviors of the new systems are analyzed by bifurcation diagrams, Lyapunov exponent spectrum and system phase diagrams. In addition, both theory and simulation prove that only one adaptive controller can realize control and synchronization of the new systems when the parameters are unknown. Furthermore, composite controllers combining adaptive control and linear feedback control are proposed, which realize control and synchronization of the new class of finance chaotic systems quickly. Finally, simulation results demonstrate the effectiveness of the proposed methods.