The Control Of Chaos System And Analysis To Complex Financial System

Recently , chaos control has been intensively studied , and it has become a hot topic in the field of economic systems . In this paper, my dissertation mainly focuses on the periodic solution and chaos control of complex financial systems . And combine together with effective economic system, giving a very valid method to control the economic system .The main content is depicted as follows . In the first chapter , the control of chaos system especially economic chaos system in the research background and study conditions are proceeded very full-scale introduction and summaries . In the second chapter , some conceptions and theoretics are introduced . In the third chapter , the existence of periodic solution to a nonlinear financial market model is studied . At first, using Sobolev space norm the estimates of the periodic solution is provided . Then , using variation principle and Schauder fixed point theorem , the existence of the periodic solution is proved . Academic analysis and data simulation both prove the existence of the periodic solution . Combined with the financial market, it is explained the relation between the existence of the periodic solution and stabilazation of financial market diversification . Thereout it is gained the adopting measures against financial crisis and corresponding simulation . In the fourth chapter , by the analysis of Hope bifurcation , a nonlinear financial chaos market model is controlled . Firstly , a sufficient condition for Hope bifurcation is derived on the basis of amplitude of approximate fundamental harmonics . Then , periodical and unvarying exciting force method is used to suppress the chaotic motions of the system . By corresponding simulation , it is proved the celerity and availability of this mothod . And it is known when the system is chaotic , the market is in crisis . Thereout it is gained measures against financial crisis . At last , the possibility and development of chaos in complex financial systems are introduced in brief. And outlook my work in the future .