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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (11): 1011-1018.

• 论文 • 上一篇    下一篇

HOPF BIFURCATION IN A THREE-DIMENSIONAL SYSTEM

李德明, 黄克累   

  1. Beijing University of Aeronautics and Astronautics, Beijing
  • 收稿日期:1988-04-02 出版日期:1989-11-18 发布日期:1989-11-18
  • 基金资助:

    Project Supported by the National Natural Science Foundation of China

HOPF BIFURCATION IN A THREE-DIMENSIONAL SYSTEM

Li De-ming, Huang Ke-lei   

  1. Beijing University of Aeronautics and Astronautics, Beijing
  • Received:1988-04-02 Online:1989-11-18 Published:1989-11-18
  • Supported by:

    Project Supported by the National Natural Science Foundation of China

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摘要： In this paper,Liapunor-Schmidl reduction and singularity theory are employed to discuss Hopf and degenerate Hopf bifureations in global parametric region in a three-dimensional system x=-βx+y, y=-x-βy(1-kz), z=β[α(1-z)-ky2], The conditions on existence and stability are given.

Abstract: In this paper,Liapunor-Schmidl reduction and singularity theory are employed to discuss Hopf and degenerate Hopf bifureations in global parametric region in a three-dimensional system x=-βx+y, y=-x-βy(1-kz), z=β[α(1-z)-ky2], The conditions on existence and stability are given.

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