| 关于n维分段线性映射非光滑周期加倍分叉现象的一点注记 |
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| 引用本文： | 宦颂梅,杨晓松.关于n维分段线性映射非光滑周期加倍分叉现象的一点注记[J].应用数学,2011,24(4). |
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| 作者姓名： | 宦颂梅 杨晓松 |
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| 作者单位： | 1. 华中科技大学数学与统计学院,湖北武汉430074;华中科技大学电子与信息工程系,湖北武汉430074
2. 华中科技大学数学与统计学院,湖北武汉,430074 |
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| 基金项目： | National Natural Science Foundation of China(10972082) |
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| 摘 要： | 本文提供反例说明现有文献中关于n维分段线性映射非光滑周期加倍分叉现象的结论不成立,进而给出该结论的正确表述,并重新给予证明.
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| 关 键 词： | 分段线性 可观测性 非光滑周期加倍 |
A Note on Non-smooth Period Doubling Bifurcation of Piecewise Linear n-dimensional Maps |
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| HUAN Songmei
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YANG Xiaosong.A Note on Non-smooth Period Doubling Bifurcation of Piecewise Linear n-dimensional Maps[J].Mathematica Applicata,2011,24(4). |
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| Authors: | HUAN Songmei YANG Xiaosong |
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| Institution: | HUAN Songmei1,2,YANG Xiaosong1 (1.School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China,2.Department of Electronics and Information Engineering,China) |
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| Abstract: | This paper presents by giving a counter-example that the existing conclusions on the non-smooth period doubling bifurcation of n-dimensional piecewise linear maps are not correct,and then gives the right statements with a new proof. |
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| Keywords: | Piecewise linear Observability Non-smooth period doubling |
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