| 指数型一次Logistic迭代方程解的周期倍分岔现象 |
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| 引用本文： | 蔡惠京.指数型一次Logistic迭代方程解的周期倍分岔现象[J].数学学报,2001,44(4):761-768. |
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| 作者姓名： | 蔡惠京 |
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| 作者单位： | 广东中山学院 |
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| 摘 要： | 本文讨论了指数型一次Ｌｏｇｉｓｔｉｃ迭代方程解的周期倍分岔现象的存在性，给出了周期倍分合时的临界点参数应满足的方程，并证明了周期倍分岔的临界点参数序列的极限是存在的，进而证明了当参数越过这个极限时，指数型一次 Ｌｏｇｉｓｔｉｃ迭代方程存在混沌解．
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| 关 键 词： | Logistic迭代方程 周期倍分岔 混沌 |
| 文章编号： | 0583-1431(2001)04-0761-08 |
| 修稿时间： | 1998年12月8日 |
On the Period-Doubling Bifurcation of the Solutions of the First Order Exponential Logistic Iterative Equation |
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| CAI Hui Jing.On the Period-Doubling Bifurcation of the Solutions of the First Order Exponential Logistic Iterative Equation[J].Acta Mathematica Sinica,2001,44(4):761-768. |
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| Authors: | CAI Hui Jing |
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| Institution: | CAI Hui Jing (Guangdong Zhongshan College, Zhongshan 528402, P. R. China) (E-mail: chaiwu@pub.zhongshan.gd.cn) |
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| Abstract: | In this paper, it is proved that the period-doubling bifurcation of the solutions of the first order exponential Logistic iterative equation is existent. The equation that must be satisfied by critical bifurcation parameters is given. And it is showed that the critical bifurcation parameter sequence has a limit. Then, it is proved that the first order exponential Logistic iterative equation has a chaotic solution when the parameter is over the limit. |
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| Keywords: | Logistic iterative equation Period-doubling bifurcation Chaos |
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