A Study of the Static and Global Bifurcations for Duffing Equation

Cao Qingjie; Zhang Tiande; Li Jiuping

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Cao Qingjie, Zhang Tiande, Li Jiuping. A Study of the Static and Global Bifurcations for Duffing Equation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1309-1316.

Citation:

Cao Qingjie, Zhang Tiande, Li Jiuping. A Study of the Static and Global Bifurcations for Duffing Equation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1309-1316.

Citation:

Cao Qingjie, Zhang Tiande, Li Jiuping. A Study of the Static and Global Bifurcations for Duffing Equation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1309-1316.

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A Study of the Static and Global Bifurcations for Duffing Equation

Department of Mathematics and Physics, Shandong University of Technology, Jinan 250061, P R China

Received Date: 1997-12-26
Rev Recd Date: 1999-02-18
Publish Date: 1999-12-15

Abstract

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.
- ored Duffing equation,
- averaged system,
- bifurcation

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References(4)

References

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[3]	Guckenheimer J,Holmes P.Nonlinear Oscillations,Dynamics,and Bifurcations of Vector Fields[M].New York,Berlin,Heidelberg,Tokyo: Springer-Verlag,1983.
[4]	Golubitsky M,Schaeffer D G.Singularities and Groups in Bifurcation Theory[M].New York,Berlin,Heidelberg,Tokyo: Springer-Verlag,1984.