| 弱双曲覆盖映射的单一化结构稳定性 |
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| 引用本文： | 郭彦平,葛渭高.弱双曲覆盖映射的单一化结构稳定性[J].系统科学与数学,2002,22(1):123-128. |
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| 作者姓名： | 郭彦平 葛渭高 |
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| 作者单位： | 1. 北京理工大学应用数学系,北京,100081,河北科技大学理学院,石家庄,050018
2. 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金（19871005），教委博士点专项基金（1999000722）资助课题． |
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| 摘 要： | 本文引入了弱双曲不变集的定义，给出弱双曲不变集的一些性质，并证明了弱双曲覆盖映射是单一化结构稳定的．
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| 关 键 词： | 双曲不变集 弱双曲覆盖映射 单一化结构稳定性 |
| 修稿时间： | 2001年4月3日 |
STRUCTURAL STABILITY OF WEAK-HYPERBOLIC SELF-COVERING MAPS |
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| Yan Ping GUO,Wei Gao GE.STRUCTURAL STABILITY OF WEAK-HYPERBOLIC SELF-COVERING MAPS[J].Journal of Systems Science and Mathematical Sciences,2002,22(1):123-128. |
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| Authors: | Yan Ping GUO Wei Gao GE |
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| Institution: | (1)Dept.of Applied Math.,Beijing Inst.of Technology, Beijing 100081,P.R.China;(2)Dept.of Applied Math.,Beijing Inst.of Technology, Beijing 100081,P.R.China |
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| Abstract: | Suppose that f is a self-covering map of a compact manifold M without boundary. The paper defines the weak-hyperbolic invariant sets, and discusses the properties of weak-hyperbolic invariant sets. In this paper we show mainly that weak-hyperbolic self-covering maps are structurally stable. |
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| Keywords: | Weak-hyperbolic invariant set weak-hyperbolic self-covering map orbit shift structural stability |
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