耗散孤立波方程的吸引子<sup>*</sup>

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耗散孤立波方程的吸引子^*

基金项目: * 国家自然科学基金

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

摘要: 本文研究耗散孤立波方程的长期动力学行为:吸引子的存在性、吸引子的几何结构、耗散系统参数扰动下动力行为、吸引子的分形维估计。
- 吸引子 /
- 一致吸收集 /
- 分形维 /
- 耗散孤立波方程 /
- 凝聚及锥不变性质
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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