Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis

doi:10.3778/j.issn.1002-8331.2009.29.059

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (29): 202-204.DOI: 10.3778/j.issn.1002-8331.2009.29.059

• 工程与应用 • Previous Articles Next Articles

Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis

LIU Jian-chen^1，2，ZHANG Jing²，ZHANG Hong-qiang¹

1.School of Information and Electrical Engineering，Hunan University of Science and Technology，Xiangtan，Hunan 411201，China
2.College of Electrical and Information Engineering，Hunan University，Changsha 410082，China

Received:2008-06-03 Revised:2008-09-26 Online:2009-10-11 Published:2009-10-11
Contact: LIU Jian-chen

分数阶混沌系统时域数值仿真及其可靠性分析

刘健辰^1，2，章兢²，张红强¹

1.湖南科技大学信息与电气工程学院，湖南湘潭 411201
2.湖南大学电气与信息工程学院，长沙 410082

通讯作者: 刘健辰

Abstract

Abstract: The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.Taking the fractional order unified chaotic systems as an example，the numerical simulations illustrate that the errors of time domain approximation can cause erroneous results about whether the fractional-order differential systems remain chaotic，and the effects of the approximation errors will become worsen with the system parameter k growing.

Key words: fractional-order differential system, unified chaotic system, numerical simulation, numerical reliability

摘要： 通过分析系统不动点的稳定性，得到分数阶微分系统存在混沌的解析条件。以分数阶统一混沌系统为例，通过时域数值仿真实验，发现时域近似产生的仿真误差会产生对分数阶微分系统是否存在混沌的错误判断，并且误差影响会随参数k的增大而变大。

关键词: 分数阶微分系统, 统一混沌系统, 数值仿真, 数值可靠性

CLC Number:

TP273.2

LIU Jian-chen^1，2，ZHANG Jing²，ZHANG Hong-qiang¹. Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis[J]. Computer Engineering and Applications, 2009, 45(29): 202-204.

刘健辰^1，2，章兢²，张红强¹. 分数阶混沌系统时域数值仿真及其可靠性分析[J]. 计算机工程与应用, 2009, 45(29): 202-204.

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Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis

分数阶混沌系统时域数值仿真及其可靠性分析

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