| 一类非光滑映射的混沌研究 |
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| 引用本文： | 张艳红,邱红军,罗建林.一类非光滑映射的混沌研究[J].高师理科学刊,2010,30(4):18-20. |
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| 作者姓名： | 张艳红 邱红军 罗建林 |
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| 作者单位： | 九江学院,理学院,江西,九江,332005 |
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| 基金项目： | 江西省自然科学基金资助项目 |
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| 摘 要： | 研究了定义在区间上的分段线性映射族fa=+≤≤+≤+≤=(1/3)5/61/317/61/61/35/62/31/6axxxxxaxfa(a∈R+)的动力学行为.当参数0a1时,该连续非光滑映射族具有非常简单的动力学性质,存在一个吸引的不动点,且该不动点是全局吸引的;当参数a1时,该映射出现Li-Yorke和Lyapunov混沌.
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| 关 键 词： | 分段线性映射 非光滑映射 混沌 不动点 周期点 |
Research on the chao of a class non-smooth map |
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| ZHANG Yan-hong,QIU Hong-jun,LUO Jian-lin.Research on the chao of a class non-smooth map[J].Journal of Science of Teachers＇College and University,2010,30(4):18-20. |
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| Authors: | ZHANG Yan-hong QIU Hong-jun LUO Jian-lin |
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| Institution: | (School of Science,Jiujiang University,Jiujiang 332005,China) |
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| Abstract: | Researched the dynamics of group of piecewise linear maps R ＋）.As 0 a 1,f a contain some simple dynamical properies,has an attracting fixed point which will approach.As a 1,the group of maps f aoccurs Li-Yorke chaos and Lyapunov chaos as soon as. |
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| Keywords: | piecewise linear map nom-smooth map chaos fixed point periodic point |
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