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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1413-1420.

• 论文 • 上一篇    

A STUDY OF THE STATIC AND GLOBAL BIFURCATIONS FOR DUFFING EQUATION

曹庆杰, 张天德, 李久平   

  1. Department of Mathematics and Physics, Shandong University of Technology, Jinan 250061, P. R. China
  • 收稿日期:1997-12-26 修回日期:1999-02-18 出版日期:1999-12-18 发布日期:1999-12-18
  • 基金资助:
    the National Natural Science Foundation of China(19872041);State Education Committee Foundation of China(98837129);the Natural Science Foundation of Province Shandong (Y98A73016)

A STUDY OF THE STATIC AND GLOBAL BIFURCATIONS FOR DUFFING EQUATION

Cao Qingjie, Zhang Tiande, Li Jiuping   

  1. Department of Mathematics and Physics, Shandong University of Technology, Jinan 250061, P. R. China
  • Received:1997-12-26 Revised:1999-02-18 Online:1999-12-18 Published:1999-12-18
  • Supported by:
    the National Natural Science Foundation of China(19872041);State Education Committee Foundation of China(98837129);the Natural Science Foundation of Province Shandong (Y98A73016)

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摘要： In this paper, the static and global bifurcations of the forced Duffing equation have been studied by means of the averaged system. Bifurcation condition has been obtained in the whole parametric space. The change of the phase plane structure has been investigated.

Abstract: In this paper, the static and global bifurcations of the forced Duffing equation have been studied by means of the averaged system. Bifurcation condition has been obtained in the whole parametric space. The change of the phase plane structure has been investigated.

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