| 拟双曲轨道的强跟踪性 |
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| 引用本文： | 邢春娜,;韩英豪. 拟双曲轨道的强跟踪性[J]. 莆田高等专科学校学报, 2008, 0(5): 25-27 |
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| 作者姓名： | 邢春娜, 韩英豪 |
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| 作者单位： | [1]仰恩大学数学系,福建泉州362014; [2]辽宁师范大学数学学院,辽宁大连116029 |
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| 摘 要： | 设M是一个紧致n维C^∞黎曼流形,f∈Diff（M）,∧是f的闭不变集合,并且∧具有连续不变分解T∧M=E F,则对任意的ε〉o和λ∈（0,1）,存在δ〉0,使得对f的任意λ-拟双曲强δ-伪轨{xi,ni}i=-∞^＋∞都存在一点x∈M,强ε-跟踪{xi,ni}i=-∞^＋∞。
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| 关 键 词： | 拟双曲轨道 强跟踪性 拟双曲强伪轨 |
Strong Shadowing Property on a Quasi-hyperbolic Orbit |
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| Affiliation: | XING Chun-na, HAN Ying-hao (1. Department of Mathematics, Yang-En University, Quanzhou Fujian 362014, China; 2. School of Mathematics, Liaoning Normal University, Dalian Liaoning 116029, China ) |
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| Abstract: | It is proved that the strong shadowing property on a quasi-hyperbolic orbit for a diffeomorphism on a compact C^∞ manifold M. Let f∈Diff（M）, assume that ∧ is a closed invariant set off and there is a continuous invariant splitting T∧M=E F on ∧, then for any ε〉0 and λ∈ （0,1）, there exists δ〉0 such that for any λ-quasi-hyperbolic strong δ-pseudoorbit {xi,ni}i=-∞^＋∞,there is a point x∈M which strong ε-shadows {xi,ni}i=-∞^＋∞ |
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| Keywords: | quasi-hyperbolic orbit strong shadowing property quasi-hyperbolic strong pseudoorbit |
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