The Simple Application Of Chaotic Dynamics In A Economic Model

ABSTRACT:Based on a comprehensive analysis of main methods and procedures on chaotic dynamics, a systematic investigation into the dynamic conduct of dynamic economy is made with the ordinary mathematic theory. Some important achievements are obtained in this dissertation.The whole paper consists of four chapters. Chapter 1 is an introduction of the disseration, including its background and meaning. Chapter 2 is the summary of major procedures and methods in chaotic analysis,such as stability analysis, the sensitive dependence on initial conditions, the lyapunov index, bifurcation analysis, and so on.Secondly, it gives some dynamic analysis and higher codimension analysis about a few systems.Chapter 3 puts emphasis on the dynamic actions of a ecomomic model, including the stability of equilibrium point, and some phenomenon on bifurcation. Chapter 4 is the summary of the dissertation.