Analysis of a fractional order Van der Pol-like oscillator via describing function method

被引：32
作者：
Attari, Mina [1 ]
Haeri, Mohammad [1 ]
Tavazoei, Mohammad Saleh [1 ]
机构：
[1] Sharif Univ Technol, Dept Elect Engn, Adv Control Syst Lab, Tehran, Iran
来源：
NONLINEAR DYNAMICS | 2010年 / 61卷 / 1-2期
关键词：
Fractional Van der Pol oscillator; Describing function method; Oscillatory parametric region; Harmonic balance; SINUSOIDAL OSCILLATORS; STABILITY ANALYSIS; SYSTEMS; CHAOS; IDENTIFICATION;
D O I：
10.1007/s11071-009-9647-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the behavior of a fractional order Van der Pol-like oscillator is investigated using a describing function method. A parametric function for the boundary between oscillatory and nonoscillatory regions of this system is extracted. The analytical results are evaluated by numerical simulations which demonstrate sufficient reliability of the proposed analyzing method.
引用
收藏
页码：265 / 274
页数：10
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