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

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ATTACTORS OF DISSIPATIVE SOLITON EQUATION

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

  1. 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

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

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