Study of Limit Cycles and Stability Analysis of Fractional Arneodo Oscillator

被引：3

作者：

Rostami, Mohammad ^{[1
]}

Haeri, Mohammad ^{[2
]}

机构：

[1] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

[2] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 01期

关键词：

Fractional systems; Arneodo oscillator; Limit cycle; Describing function; Loeb criterion; CHAOS;

D O I：

10.1007/s10957-012-0190-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with the existence and the characteristics of the limit cycles in the fractional-order Arneodo system. The analysis is done using the describing function method. Our focus is on a special case where two limit cycles exist. The parametric range for the case of interest is derived, and the frequency and the amplitude of the oscillation are predicted. Numerical simulation results are presented to further demonstrate the reliability of the analysis.

引用

页码：68 / 78

页数：11

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