Vibrational resonance in a Duffing system with fractional-order external and intrinsic dampings driven by the two-frequency signals

被引：8

作者：

Zhang Lu ^{[1
,2
]}

Xie Tian-Ting ^{[1
]}

Luo Mao-Kang ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China

[2] Sci & Technol Elect Informat Control Lab, Chengdu 610036, Peoples R China

来源：

ACTA PHYSICA SINICA | 2014年 / 63卷 / 01期

基金：

中国国家自然科学基金;

关键词：

vibrational resonance; Duffing system; fractional-order damping; fractional system;

D O I：

10.7498/aps.63.010506

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The phenomenon of vibrational resonance (VR) in a Duffing system with both fractional-order external damping and fractional-order intrinsic damping driven by the two-frequency periodic signals is investigated. It is observed that the resonance amplitude Q can be optimized by an appropriate choice of the amplitude of the high-frequency signal. The obtained relationship between VR and the fractional-orders shows that both fractional-order external damping and fractional-order intrinsic damping can induce changes of the shapes of the effective potential function and then lead to more abundant resonance behaviors than in the traditional dynamic systems.

引用

页数：7

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