Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region

Xu Zhen-yuan; Liu Zeng-rong

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(5): 413-418

Xu Zhen-yuan, Liu Zeng-rong. Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region[J]. Applied Mathematics and Mechanics, 1987, 8(5): 413-418.

Citation:

Xu Zhen-yuan, Liu Zeng-rong. Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region[J]. Applied Mathematics and Mechanics, 1987, 8(5): 413-418.

Citation:

Xu Zhen-yuan, Liu Zeng-rong. Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region[J]. Applied Mathematics and Mechanics, 1987, 8(5): 413-418.

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Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region

Xu Zhen-yuan¹,
Liu Zeng-rong²

1.
Anhui Huainan Normal College, Huainan;
2.
Anhui University, Hefei

Received Date: 1985-10-20
Publish Date: 1987-05-15

Abstract

Abstract

In this paper the situation in which weak spring Duffing equation gets into the chaos on account of small perturbation is discussed with Melnikov-Holmes' method, and some phenomena in which the different subharmonic and the ultrasubharmonic coexist with the chaos are discovered.

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References(3)

References

[1]	刘曾荣、姚伟国、朱照宣,软弹簧buffing方程解进入浑沌的途径,应用数学和力学,7, 2(1986),103-108.
[2]	Liu Zeng-rong, About some complex Phenomena in the chaos, ICNM symposium (1985).
[3]	Gucknheimer, J. and P.Holmes, Nonlinear Oscillation, Dynamical, and Bifurcation of Vector Fields, Springer-Verlag(1983).