| 分数阶混沌系统时域数值仿真及其可靠性分析 |
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| 引用本文： | 刘健辰,章兢,张红强.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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| 作者姓名： | 刘健辰 章兢 张红强 |
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| 作者单位： | 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 |
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| 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。
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| 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 |
| 收稿时间： | 2008-6-3 |
| 修稿时间： | 2008-9-26
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Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis |
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| LIU Jian-chen,ZHANG Jing,ZHANG Hong-qiang.Time-domain numerical simulation of fractional-order chaotic systems and its reliability analysis[J].Computer Engineering and Applications,2009,45(29):202-204. |
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| Authors: | LIU Jian-chen ZHANG Jing ZHANG Hong-qiang |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | fractional-order differential system unified chaotic system numerical simulation numerical reliability |
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