| 具有拟周期外力的非自治发展方程的时滞惯性流形与近似惯性流形 |
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| 引用本文： | 朱健民,李祥,黄建华.具有拟周期外力的非自治发展方程的时滞惯性流形与近似惯性流形[J].国防科技大学学报,2006,28(6):32-37. |
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| 作者姓名： | 朱健民 李祥 黄建华 |
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| 作者单位： | 国防科技大学,理学院,湖南,长沙,410073 |
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| 摘 要： | 研究了一类具有拟周期外力的非自治发展方程,通过延伸相平面将非自治系统转化为自治系统,再证明相应的自治系统的时滞惯性流形的存在性,并在时滞惯性流形的基础上构造了非自治发展方程的近似惯性流形。
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| 关 键 词： | 拟周期外力 时滞惯性流形 近似惯性流形 |
| 文章编号： | 1001-2486(2006)06-0032-06 |
| 收稿时间： | 2006/6/23 0:00:00 |
| 修稿时间： | 2006年6月23日 |
Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Evolution Equations with Quasi-periodic Terms |
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| ZHU Jianmin,LI Xiang and HUANG Jianhua.Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Evolution Equations with Quasi-periodic Terms[J].Journal of National University of Defense Technology,2006,28(6):32-37. |
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| Authors: | ZHU Jianmin LI Xiang and HUANG Jianhua |
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| Institution: | College of Science, National Univ. of Defense Technology, Changsha 410073,China;College of Science, National Univ. of Defense Technology, Changsha 410073,China;College of Science, National Univ. of Defense Technology, Changsha 410073,China |
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| Abstract: | The present paper deals with the long-time behavior of a non-autonomous evolution equations with quasi-periodic term.Firstly the existence of the inertial manifold with delay of the system was proved by transferring the non-autonomous system to an autonomous system through extending the phase plane.Then the approximate inertial manifold of the system was constructed. |
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| Keywords: | quasi-periodic term inertial manifold with delay approximate inertial manifold |
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