Undamped oscillations in fractional-order Duffing oscillator

被引：16
|
作者：
Rostami, Mohammad [1 ]
Haeri, Mohammad [2 ]
机构：
[1] Univ Penn, Dept Elect & Syst Engn, Philadelphia, PA 19104 USA
[2] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran
来源：
SIGNAL PROCESSING | 2015年 / 107卷
关键词：
Duffing equation; Oscillation; Fractional order differential equation; Parameter range; Describing function method; CHAOS; DYNAMICS; SYSTEM; DIFFUSION;
D O I：
10.1016/j.sigpro.2014.03.042
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper studies undamped oscillations of fractional-order Duffing system. Stability theorems for fractional order systems are used to determine the characteristic polynomial of the system in order to find the parametric ranges for undamped oscillations in this system. We also derive relations for estimating the frequency and the amplitude of the oscillations in this system using a describing function method: Finally numerical simulation results are provided to justify the analysis. Published by Elsevier B.V.
引用
收藏
页码：361 / 367
页数：7
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