ATTACTORS OF DISSIPATIVE SOLITON EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 571-578.

ATTACTORS OF DISSIPATIVE SOLITON EQUATION

田立新¹, 徐振源², 刘曾荣³

1. Department of Mathematics and Physics, Jiangsu Universityof Science and Technology, Zhenjiang, Jiangsu;
2. Wuxi Light Industry Institute, Wuxi Jiangsu;
3. Department Mathematics, Suzhou University, Suzhou, Jiangsu

收稿日期:1993-05-21 出版日期:1994-06-18 发布日期:1994-06-18

ATTACTORS OF DISSIPATIVE SOLITON EQUATION

Tian Li-xin¹, Xu Zhen-yuan², Liu Zeng-rong³

1. Department of Mathematics and Physics, Jiangsu Universityof Science and Technology, Zhenjiang, Jiangsu;
2. Wuxi Light Industry Institute, Wuxi Jiangsu;
3. Department Mathematics, Suzhou University, Suzhou, Jiangsu

Received:1993-05-21 Online:1994-06-18 Published:1994-06-18

摘要/Abstract

摘要： In the paper, we study longtime dynamic behavior of dissipative soliton equation existence of attractor, geometrical structure of attractor dynamic behavior under the parametric perturbation of dissipative soliton equation. estimate of fractal dimension of attractor.

关键词: Poiseuille flow, bi-orthogonal, eigen-function, receptivity, attractor, uniform absoroing set, fractal dimension, dissipativesolition equation, squeezing proerty and invanant cone proper-ty

Abstract: In the paper, we study longtime dynamic behavior of dissipative soliton equation existence of attractor, geometrical structure of attractor dynamic behavior under the parametric perturbation of dissipative soliton equation. estimate of fractal dimension of attractor.

Key words: Poiseuille flow, bi-orthogonal, eigen-function, receptivity, attractor, uniform absoroing set, fractal dimension, dissipativesolition equation, squeezing proerty and invanant cone proper-ty

田立新;徐振源;刘曾荣. ATTACTORS OF DISSIPATIVE SOLITON EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(6): 571-578.

Tian Li-xin;Xu Zhen-yuan;Liu Zeng-rong. ATTACTORS OF DISSIPATIVE SOLITON EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(6): 571-578.

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