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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1096-1104.

• 论文 • 上一篇    下一篇

BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION

贺天兰   

  1. Institute of Science, Kunming University of Science and Technology, Kunming 650093, P R China
  • 收稿日期:2000-02-22 修回日期:2001-03-25 出版日期:2001-09-18 发布日期:2001-09-18
  • 基金资助:

    the Natural Science Foundation of Yunnan Province of China(1999A0018M)

BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION

HE Tian-lan   

  1. Institute of Science, Kunming University of Science and Technology, Kunming 650093, P R China
  • Received:2000-02-22 Revised:2001-03-25 Online:2001-09-18 Published:2001-09-18
  • Supported by:

    the Natural Science Foundation of Yunnan Province of China(1999A0018M)

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摘要： Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained.

Abstract: Bifurcation of the invariant curves of a difference equation is studied. The system defined by the difference equation is integrable, so the study of the invariant curves of the difference system can become the study of topological classification of the planar phase portraits defined by a planar Hamiltonian system. By strict qualitative analysis, the classification of the invariant curves in parameter space can be obtained.

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