Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces

Bi Qinsheng; Chen Yushu; Wu Zhiqiang

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(2): 113-120

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces[J]. Applied Mathematics and Mechanics, 1998, 19(2): 113-120.

Citation:

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces[J]. Applied Mathematics and Mechanics, 1998, 19(2): 113-120.

Citation:

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces[J]. Applied Mathematics and Mechanics, 1998, 19(2): 113-120.

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Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces

Department of Mechanics, Tianjing University, Tianjin 300072, P. R. China

Received Date: 1995-04-15
Rev Recd Date: 1996-06-30
Publish Date: 1998-02-15

Abstract

Abstract

By introducing nonlinear frequency,using Floquel theory and referring to the characteristics of the solution when it passes through the transition bounaries all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitatins as well as the possible ways to chaos are studied in this paper.
- nonlinear frequency,
- Floquet theory,
- bifrucation,
- chaos,
- Duffing system with multi-frequency external periodic forces

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References(18)

References

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