| 一种非线性函数的迭代动力分析 |
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| 引用本文： | 麻世高,于静波.一种非线性函数的迭代动力分析[J].工科数学,2012(5):58-61. |
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| 作者姓名： | 麻世高 于静波 |
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| 作者单位： | 中国民航大学理学院,天津300300 |
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| 摘 要： | 对一种非线性函数迭代的动力性质进行了分析，结果显示在函数的定义区间－2，2]内，点χ的移动轨道具有如下性质：（i）点χ的移动轨道具有各种复杂的周期轨道，所有周期轨道形成的集合在区间－2，2]内稠密，（ii）点χ的移动轨道或者在区间（－2，2）内稠密，或者经有限次映射后最终进入由所有的周期轨道形成的集合中。
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| 关 键 词： | 不动点 周期轨道 移动轨道 稠密集 |
Iterate Dynamical Analysis of a Non-linear Function |
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| MA Shi-gao,YU Jing-bo.Iterate Dynamical Analysis of a Non-linear Function[J].Journal of Mathematics For Technology,2012(5):58-61. |
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| Authors: | MA Shi-gao YU Jing-bo |
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| Institution: | (College of Science, Civil Aviation University of China, Tianjin 300300, China) |
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| Abstract: | This paper investigates iterate dynamical analysis of a nonlinear function. The result shows movement orbit of point x have property as follows： （i）Movement orbit of point x has various complicated periodic orbit, the set formed by all periodic orbitis dense in interval -2,2] . （ii） Movement orbit of point x either is dense in interval -2,2] or will finally move into the set formed by all periodic orbit after finite mappings. |
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| Keywords: | fixed point periodic orbit movement orbit dense set |
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