| 从具体例子看惯性流形概念的推广 |
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| 引用本文： | 刘曾荣,徐振源.从具体例子看惯性流形概念的推广[J].力学学报,1992,24(4):438-445. |
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| 作者姓名： | 刘曾荣 徐振源 |
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| 作者单位： | 上海大学非线性科学研究中心，上海大学理学院, 200444 |
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| 摘 要： | 惯性流形的概念要求所有轨道指数收敛于唯一吸引子5],这对于很多物理问题,例如sine-Gordon方程是很难满足的4],本文中给出的人工例子建议了惯性流形的推广形式,这个推广形式去掉了整体吸引子是唯一的预先要求,该推广概念使用于sine-Gordon方程。
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| 关 键 词： | 无穷维 动力系统 惯性流形 吸引子 |
EXTENSION OF THE INERTIAL MANIFOLD CONCEPT AS SUGGESTED BY A SPECIAL CASE |
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| Liu Zhenrong.EXTENSION OF THE INERTIAL MANIFOLD CONCEPT AS SUGGESTED BY A SPECIAL CASE[J].chinese journal of theoretical and applied mechanics,1992,24(4):438-445. |
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| Authors: | Liu Zhenrong |
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| Abstract: | The concept of inertial manifold5] requires exponential convergence of all trajectories to a unique attractor, which can hardly be satisfied in many physical problems, e.g. the sine-Gordon equation4]. Properties of an artifical example in the paper suggest a generalized form of inertial manifold, which cancels the prerequisite that the global attractor is unique. This generalized concept is used to the sine-Gordon equation. |
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| Keywords: | Infinite dimension dynamical systems inertia current manifolds gene ralized manifolds a'ttractors |
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