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
收藏
页码：1201 / 1207
页数：7
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