[1]张海龙,闵富红,王恩荣,等.关于Lyapunov指数计算方法的比较[J].南京师范大学学报(工程技术版),2012,12(01):005-9.
 Zhang Hailong,Min Fuhong,Wang Enrong.The Comparison for Lyapunov Exponents Calculation Methods[J].Journal of Nanjing Normal University(Engineering and Technology),2012,12(01):005-9.
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关于Lyapunov指数计算方法的比较
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
12卷
期数:
2012年01期
页码:
005-9
栏目:
出版日期:
2012-03-20

文章信息/Info

Title:
The Comparison for Lyapunov Exponents Calculation Methods
作者:
张海龙;闵富红;王恩荣;
南京师范大学电气与自动化工程学院,江苏南京210042
Author(s):
Zhang HailongMin FuhongWang Enrong
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
Lyapunov 指数Lorenz 系统混沌系统
Keywords:
Lyapunov exponentsLorenz systemchaos system
分类号:
O415.5
摘要:
针对常用的几种Lyapunov指数数值计算方法,即定义法、正交法、wolf法和小数据量法,以典型的Lorenz系统为例,分别计算Lorenz混沌吸引子的Lyapunov指数谱或者最大Lyapunov指数,比较各种方法的计算精度、计算复杂度,并且对含噪声的混沌时间序列给出Lyapunov指数计算结果,比较各种抗干扰能力.给出了不同计算方法的性能差异、适用场合和选择依据.
Abstract:
In this paper,the several computational methods of Lyapunov exponents are compared,i. e. ,the definition method,the orthogonal method,the wolf method and the small data sets. The Lyapunov exponent power and the max- Lyapunov exponent are computed through the above methods for Lorenz system. From the results,the accuracies and the complexity of the above methods are investigated. Furthermore,the max-Lyapunov exponents are also calculated for the chaotic time series including the noise. Finally,numerical results demonstrate that the performances of different computational methods have differences,and some summaries will be presented.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 51075275) 、江苏省研究生创新工程项目( CXLX11_0889) .
通讯联系人: 闵富红,博士,副教授,研究方向: 混沌系统同步与控制. E-mail: minfuhong@ njnu. edu. cn
更新日期/Last Update: 2013-03-11