Limitations of frequency domain approximation in the calculation of fractional order chaotic systems

被引：0
|
作者：
Wang, Mao [1 ]
Sun, Guang-Hui [1 ]
Wei, Yan-Ling [1 ]
机构：
[1] Space Control and Inertial Technology Research Center, Harbin Institute of Technology, 150080 Harbin, China
来源：
Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology | 2011年 / 43卷 / 05期
关键词：
Chaotic systems - Frequency response;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the frequency response of the fractional integral operator, this work analyses the limitations of frequency domain approximation algorithm in the calculation of fractional order chaotic systems. The frequency domain approximation algorithm can approach to the original system in desired frequency band, but in the low and high frequency band there are large errors. Therefore, there are some limitations in the calculation of fractional chaotic system. Comparing with the predictor-corrector algorithm, totally different conclusions can be got by the frequency domain approximation algorithm. Taking the fractional Chen system as an example, numerical simulation results verify the effectiveness of our results.
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页码：8 / 12
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