| 一种Lyapunov指数算法及其实现 |
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| 引用本文： | 冯明库,丘水生,晋建秀.一种Lyapunov指数算法及其实现[J].计算机应用,2007,27(1):50-51. |
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| 作者姓名： | 冯明库 丘水生 晋建秀 |
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| 作者单位： | 华南理工大学,电子与信息学院,广东,广州,510640 |
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| 摘 要： | 提出了一种利用周期轨道不同权重计算Lyapunov指数的算法。对混沌序列的周期轨道进行统计，并计算不同的周期轨道的Lyapunov指数，依据周期轨道的权重加权求和得到整个混沌吸引子的平均Lyapunov指数。深入讨论了初始值等对平均Lyapunov指数的影响。该算法不用舍去开始迭代点，适用于复杂混沌系统。
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| 关 键 词： | Lyapunov指数 周期轨道 混沌吸引子 Lyapunov exponent 指数算法 realization method of 混沌系统 迭代点 影响 混沌吸引子 加权求 权重计算 统计 混沌序列 周期轨道 利用 |
| 文章编号： | f000-9081（2007）01-0050-02 |
| 收稿时间： | 2006-07-06 |
| 修稿时间： | 2006-07-062006-09-23 |
A calculation method of Lyapunov exponent and its realization |
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| FENG Ming-ku,QIU Shui-sheng,JIN Jian-xiu.A calculation method of Lyapunov exponent and its realization[J].journal of Computer Applications,2007,27(1):50-51. |
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| Authors: | FENG Ming-ku QIU Shui-sheng JIN Jian-xiu |
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| Abstract: | An algorithm of Lyapunov exponent with different weights of periodic orbits was proposed.Periodic orbits of chaotic sequences were calculated statistically,then the Lyapunov exponents of different orbits were computed,and the mean Lyapunov exponent of chaotic attractor was got according to the weights of different periodic orbits.The effect of initial value on the mean Lyapunov exponent was discussed.The beginning iterative points do not need to abnegate,and the algorithm is applicable to complicated chaotic systems. |
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| Keywords: | Lyapunov exponent periodic orbits chaotic attractors |
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