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

• Articles • Previous Articles    

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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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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