| 圆周自映射周期点集的局部度量稳定性 |
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| 引用本文： | 杨润生.圆周自映射周期点集的局部度量稳定性[J].南京师大学报,1988(4). |
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| 作者姓名： | 杨润生 |
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| 作者单位： | 南京师大数学系 |
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| 摘 要： | 本文对于圆周连续自映射f,证明了f无马路形的充要条件是f的周期点集对f具有局部度量稳定性.
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| 关 键 词： | 周期点集 马蹄形 局部度量稳定性 拓扑半共轭 |
LOCAL METRIC STABILITY OF SET OF PERIODIC POINTS FOR SLF-MAPS CF THE CIRCLE |
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| Yang Runsheng.LOCAL METRIC STABILITY OF SET OF PERIODIC POINTS FOR SLF-MAPS CF THE CIRCLE[J].Journal of Nanjing Normal University(Natural Science Edition),1988(4). |
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| Authors: | Yang Runsheng |
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| Institution: | DePartment of Mathematics |
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| Abstract: | For continuous self-maps f of the circle, we show f has no horseshoe if and only if the set of periodic points of f is locally metric stable for f. |
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| Keywords: | Set of periodic points Horseshoe Local metric stability Topological semi-conjugacy |
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