| 指数型二分性与不变流形 |
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| 引用本文： | 夏红强. 指数型二分性与不变流形[J]. 数学物理学报(A辑), 1998, 18(2): 200-205 |
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| 作者姓名： | 夏红强 |
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| 作者单位： | 中国科学院武汉物理与数学研究所数学物理青年实验室!武汉，430071 |
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| 摘 要： | 该文证明了非线性微分方程组在对应的齐次方程具有指数型二分性、非线性部分满足适当的条件下存在稳定流形和不稳定流形；并且对所得的结果给出一个应用．
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| 关 键 词： | 指数二分性 稳定流形 Hill方程 |
Exponential dichotomy and invariant manifold |
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| Xia Hongqiang. Exponential dichotomy and invariant manifold[J]. Acta Mathematica Scientia, 1998, 18(2): 200-205 |
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| Authors: | Xia Hongqiang |
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| Abstract: | In this paper,the author proved that the nonlinear differential equation system exists stable and unstable manifolds if their associated homogenous equations satisfies exponential dichotomy and nonlinear part satisfies certain conditions; then he gave an applications on perturbed Hill equation. |
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| Keywords: | Exponential dichotomy Stable manifold Hill equation |
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