Some Extended Results of “Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation”

Chen Yu-shu; Zhan Kai-jun

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Chen Yu-shu, Zhan Kai-jun. Some Extended Results of “Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation”[J]. Applied Mathematics and Mechanics, 1990, 11(3): 239-245.

Citation:

Chen Yu-shu, Zhan Kai-jun. Some Extended Results of “Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation”[J]. Applied Mathematics and Mechanics, 1990, 11(3): 239-245.

Citation:

Chen Yu-shu, Zhan Kai-jun. Some Extended Results of “Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation”[J]. Applied Mathematics and Mechanics, 1990, 11(3): 239-245.

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Some Extended Results of “Subharmonic Resonance Bifurcation Theory of Nonlinear Mathieu Equation”

Tianjin University, Tianjin

Received Date: 1989-02-01
Publish Date: 1990-03-15

Abstract

Abstract

The authors of [1] discussed the subharmonic resonance bifurcation theory of nonlinear Mathieu equation and obtained six bifurcation diagrams in (α,β )-plane. In this paper, we extended the results of[1] and pointed out that there may exist as many as fourteen bifurcation diagrams which are not topologically equivalent to each other.

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References(4)

References

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[2]	Golubitsky,M.and D.G.Schaeffer,Singularities and Groups in Bifurcation Theory,Vol.1,Springer-Verlag(1985).
[3]	陈予恕、詹凯君,一类非线性参数振动系统的亚谐退化分叉理论(待发表).
[4]	陈予恕、吴建国、金志胜.曲轴非线性参数扭振问题的分叉理论解,振动工程学报,1(i1987).