Synchronization Analysis For A Kind Of Finance Chaotic Systems On Basis Of Control Theory

Financial system is of an open nonlinear system consisting of many elements, far away off equilibrium points. In this kind of complicated nonlinear system, chaotic state appearing with the change of different parameters is a common phemomenon, due to the unbalanced condition of the system,so , financial synchronization is a practical issue that econormists will confront.This paper made a concise description on synchronization of chaotic systems, and got following new results.(1)Put forward a globally exponentially synchronization method for a kind of chaotic systems with partial state variables as transmission signal. This method is combined with stability theory of differential equation theory, it turns the error system between driving-system and response-system into two different parts, Theory analysis shows the necessary condition of this globally exponentially synchronization method. Applying this method to a kind of financial chaotic system and Chen chaotic system, Numerical simulations show the effectiveness of the method. The results show that partial state variables achieved synchronization can achieve overall index synchronization between driving-system and response-system under certain conditions(2)Based on Lyapunov stable theory, this paper has got a kind of synchronization controller for Liu chaotic systems by using matrix equations and Lipschitz conditions,There are two components of our derived synchronization controller: linear and nonlinear component. Linear component is composed of errors of the state variables between driving-systems and responding-stems, Nonlinear component is a self-adaptive synchronization controller. Theoretical proof and numerical simulation shows the feasibility of the method. The results show that Papers from a theoretical analysis of the feasibility of this approach, and then test by numerical simulation results show that this method is simple and design facilitate, The drive system and response system to achieve synchronization in a short period of time. Therefore, the design of the controller is very effective.