| 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.[点击复制] |
| ZHU Jianmin,LI Xiang,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[点击复制] |
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| 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 |
| 朱健民, 李祥, 黄建华 |
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(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。 |
| 关键词: 拟周期外力 时滞惯性流形 近似惯性流形 |
| DOI： |
| 投稿日期：2006-06-23 |
| 基金项目:国家自然科学基金资助项目(10571175) |
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| Inertial Manifolds with Delays and Approximate Inertial Manifolds of a Class of Non-autonomous Evolution Equations with Quasi-periodic Terms |
| ZHU Jianmin, LI Xiang, HUANG Jianhua |
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(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. |
| Keywords: quasi-periodic term inertial manifold with delay approximate inertial manifold |
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