Local Bifurcation Analysis of Strongly Nonlinear Duffing System

Bi Qinsheng; Chen Yushu; Wu Zhiqiang

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(9): 791-799

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Local Bifurcation Analysis of Strongly Nonlinear Duffing System[J]. Applied Mathematics and Mechanics, 1996, 17(9): 791-799.

Citation:

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Local Bifurcation Analysis of Strongly Nonlinear Duffing System[J]. Applied Mathematics and Mechanics, 1996, 17(9): 791-799.

Citation:

Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Local Bifurcation Analysis of Strongly Nonlinear Duffing System[J]. Applied Mathematics and Mechanics, 1996, 17(9): 791-799.

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Local Bifurcation Analysis of Strongly Nonlinear Duffing System

Dept. of Mechanics, Tiajin Univ. , Tianjin 300072, P. R. China

Received Date: 1995-03-13
Publish Date: 1996-09-15

Abstract

Abstract

By using coordinate and nearly,identical transformations.the strongly nonlinear Duffing system is reduced to normal form in this paper.and then the bifurcation equations with different resonant conditions and their solutions are obtained.The local bifurcation diagrams and the transition sets on unfolding parmeter and physical parameter plane are analysized by singularity theory.
- normal form theory,
- singularity theory,
- universal unfolding,
- transition set,
- strongly nonlinear Duffing system

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References(6)

References

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