Amplitude death induced by fractional derivatives in nonlinear coupled oscillators

被引：6
|
作者：
Liu, Q. X. [1 ]
Liu, J. K. [1 ]
Chen, Y. M. [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Mech, 135 Xingang Rd, Guangzhou 510275, Guangdong, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 48卷
基金：
中国国家自然科学基金;
关键词：
Coupled oscillators; Fractional derivative; Amplitude death; Eigenvalue analysis;
D O I：
10.1016/j.cnsns.2017.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a study on amplitude death in nonlinear coupled oscillators containing fractional derivatives. Analytical criterion for amplitude death region is obtained by eigenvalue analysis and verified by numerical results. It is found that amplitude death regions can be enlarged to a large extent by fractional derivatives. For this reason, amplitude death can be detected in fractional Stuart Landau systems with weak coupling strength and low frequency, whereas it never appears in integer-order systems. Interestingly, the widening of amplitude death region induced by fractional derivative is shared by a variety of oscillators with different types of coupling mechanisms. An interpretation for the underlying mechanism of this phenomenon is briefly addressed, based on which we further suggest a coupling organization leading to amplitude death only in fractional oscillators. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：414 / 424
页数：11
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