Analysing chaos in fractional-order systems with the harmonic balance method

被引：0

作者：

Wu Zheng-Mao ^{[1
]}

Lu Jun-Guo ^{[1
]}

Xie Jian-Ying ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China

来源：

CHINESE PHYSICS | 2006年 / 15卷 / 06期

关键词：

fractional-order system; harmonic balance principle; Genesio-Tesi system; chaos; Lur'e system;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the fractional-order Genesio-Tesi system showing chaotic behaviours is introduced, and the corresponding one in an integer-order form is studied intensively. Based on the harmonic balance principle, which is widely used in the frequency analysis of nonlinear control systems, a theoretical approach is used to investigate the conditions of system parameters under which this fractional-order system can give rise to a chaotic attractor. Finally, the numerical simulation is used to verify the validity of the theoretical results.

引用

页码：1201 / 1207

页数：7

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