The Dynamical Analysis Of Duopoly Models For Heterogeneous Products

Based on a comprehensive analysis of oligopoly models, a systematic investigation into the stability and chaos control 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 dissertati-on. The importance of the research of the bifurcation is introduction, the advances and actuality of the research are summarized, and the main contents of the dissertation are reported as well. Chapter 2 is the summary of bifurcation, it is introduction the summar-y of bifurcation of the discrete system, the basic theorem of stability. Chapter 3 analyzes the stability of duopoly models for heterogeneous products in detail, and simulate complex chaotic behavior.