The Complexity Analysis And Control Of A Class Of Chaos Models About Investment Competition

Recently chaos and its control have been active research fields of the nonlinear subject. This new technology promises to have a significant impact on many novel engineering applications. The challenging research field has become a scientific inter-discipline involving many other fields. The emergence of chaos makes us acquaint with the complex nonlinear systems further. In this paper, my dissertation mainly focuses on the complexity analysis and chaos control of a class of chaos economic systems. Also, a very valid method to control the economic system is provided. The main content is depicted as follows:In chapter 1, the chaos system with its control in the research background and study conditions are proceeded very full-scale introduction and summaries.In chapter 2, the primary theories about chaos and its control are introduced.In chapter 3, the complexity of a class of nonlinearity chaos system about economy is studied. Depending on the connection of investment and benefit, not only the investment, a two-dimensional nonlinear dynamic model that is scattered is established on the competition of enterprises. It is used to analyse the phenomenon in period-doubling bifurcation and chaos by stability theory and nonlinear ways. The model reflects the features of a type of the investment and competition models. Also it discusses some complexity actions, because of the infection of the competitor, poised growth and the changes of initial conditions. Otherwise, we simulate its feasibility in the real economic life by digital imitation.In chapter 4, we also study the problem of chaos control for the chaotic system. The adaptive control method is applied to the chaos control of an investment system. The principle of adaptive control method is firstly introduced. Then, it is applied to the simulated control of a two-dimensional nonlinear dynamic model about investment. Besides these, the selection way of control intension is provided. Finally, the control results are explained from the angle of economics, which can provide beneficial theoretical guidance for the investment strategy of enterprise.In chapter 5, summarize my dissertation and outlook my work in the future.