Attractors of Oisslpative Soliton Equation

Tian Li-xin; Xu Zhen-yuan; Liu Zeng-rong

Volume 15 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(6): 539-547

Tian Li-xin, Xu Zhen-yuan, Liu Zeng-rong. Attractors of Oisslpative Soliton Equation[J]. Applied Mathematics and Mechanics, 1994, 15(6): 539-547.

Citation:

Tian Li-xin, Xu Zhen-yuan, Liu Zeng-rong. Attractors of Oisslpative Soliton Equation[J]. Applied Mathematics and Mechanics, 1994, 15(6): 539-547.

Citation:

Tian Li-xin, Xu Zhen-yuan, Liu Zeng-rong. Attractors of Oisslpative Soliton Equation[J]. Applied Mathematics and Mechanics, 1994, 15(6): 539-547.

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Attractors of Oisslpative Soliton Equation

1.
Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu;
2.
Wuxi Light Industry Institute, Wuxi, Jiangsu;
3.
Department of Mathematics, Suzhou University, Suzhou, Jiangsu;
4.
Laboaratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, tlcademia Sinica, Beijing

Received Date: 1993-05-21
Publish Date: 1994-06-15

Abstract

Abstract

In this paper,we study longtime dynamic behavior of dissipative soliton equations existence of attractor, geometrical structure of attractor, dynamic behavior under the parametric perturbation of dissipative soliton equation, estim ate of fractal dimension of attractor.
- attractor,
- uniform absorbing set,
- fractal dimension,
- dissip ative soliton equation,
- squeezing property and invariant cone property

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References(7)

References

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[3]	Fotas C.,O.Manley and R.Teman.Attractors fur the Benard problem:existence and physical bounds on their fractal dissipative,Nonli Anal.TMA.11.8(1987).939-967.
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