Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1375-1382.

• 论文 • 上一篇    下一篇

STUDY FOR THE BIFURCATION TOPOLOGICAL STRUCTURE AND THE GLOBAL COMPLICATED CHARACTER OF A KIND OF NONLINEAR FINANCE SYSTEM(Ⅱ)

马军海1, 陈予恕2   

  1. 1. School of Management, Tianjin University, Tianjin 300072, P. R. China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2000-08-30 修回日期:2001-04-26 出版日期:2001-12-18 发布日期:2001-12-18
  • 基金资助:

    the National Natural Science Foundation of China(19990510)

STUDY FOR THE BIFURCATION TOPOLOGICAL STRUCTURE AND THE GLOBAL COMPLICATED CHARACTER OF A KIND OF NONLINEAR FINANCE SYSTEM(Ⅱ)

MA Jun-hai1, CHEN Yu-shu 2   

  1. 1. School of Management, Tianjin University, Tianjin 300072, P. R. China;
    2. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Received:2000-08-30 Revised:2001-04-26 Online:2001-12-18 Published:2001-12-18
  • Supported by:

    the National Natural Science Foundation of China(19990510)

摘要:

Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation of our country’s macro-financial system: balance, stable periodic, fractal, Hopf-bifurcation, the relationship between parameters and Hopf-bifurcation, and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro-economic policies and adjustment of some parameter on the whole financial system behavior have been analyzed. This study will deepen people’s understanding of the lever function of all kinds of financial policies.

Abstract:

Based on the work discussed on the former study, this article first starts from the mathematical model of a kind of complicated financial system, and analyses all possible things that the model shows in the operation of our country’s macro-financial system: balance, stable periodic, fractal, Hopf-bifurcation, the relationship between parameters and Hopf-bifurcation, and chaotic motion etc. By the changes of parameters of all economic meanings, the conditions on which the complicated behaviors occur in such a financial system, and the influence of the adjustment of the macro-economic policies and adjustment of some parameter on the whole financial system behavior have been analyzed. This study will deepen people’s understanding of the lever function of all kinds of financial policies.

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