| 关于一类n维自映射扰动的稳定性 |
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| 引用本文： | 杜瑞瑾.关于一类n维自映射扰动的稳定性[J].长春师范学院学报,2005(12). |
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| 作者姓名： | 杜瑞瑾 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院 重庆 |
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| 摘 要： | 1981年,L.Block发现在一维自映射中,Sarkovskii定理对映射的扰动而言是稳定的。文1]针对一类二维自映射,证明了其扰动也是稳定的,本文主要将这一扰动稳定性推广到可降的n维自映射中去。
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| 关 键 词： | 稳定性 扰动 可降映射 周期轨道 |
On the Stability of a n-dimensional Self-Mapping Disturbance |
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| DU Rui-jin.On the Stability of a n-dimensional Self-Mapping Disturbance[J].Journal of Changchun Teachers College,2005(12). |
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| Authors: | DU Rui-jin |
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| Abstract: | In 1981,L.Block discovered that Sarkovskii theory for mapping disturbance was stable in the interval self-mapping.Aiming at the class self-mapping of the square,paper~(1])proved its disturbance was also stable;and this paper mainly extend the stability of disturbance to a descendible n-dimensional self-mapping. |
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| Keywords: | stability disturbance descendible mapping periodic orbit |
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