The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator

doi:10.1016/j.cnsns.2016.02.025

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	The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator
	Yao, Chenggui 1; Ma, Jun2 ; Li, Chuan 3; He, Zhiwei 1
	2016-10
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	39 页码:99-107
摘要	The delayed feedback loops play a crucial role in the stability of dynamical systems. The effect of process delay in feedback is studied numerically and theoretically in the delayed feedback nonlinear systems including the neural model, periodic system and chaotic oscillator. The process delay is of key importance in determining the evolution of systems, and the rich dynamical phenomena are observed. By introducing a process delay, we find that it can induce bursting electric activities in the neural model. We demonstrate that this novel regime of amplitude death also exists in the parameter space of feedback strength and process delay for the periodic system and chaotic oscillator. Our results extend the effect of process delay in the paper of Zou et al.(2013) where the process delay can eliminate the amplitude death of the coupled nonlinear systems. (C) 2016 Elsevier B.V. All rights reserved.
关键词	Feedback loop Process delay Transmission delay Amplitude death Nonlinear oscillator
DOI	10.1016/j.cnsns.2016.02.025
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11205103] ; National Natural Science Foundation of China[179 11275129]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000375933800009
出版者	ELSEVIER
EI入藏号	20161302154373
EI主题词	Feedback
EI分类号	601.1 Mechanical Devices - 703.1 Electric Networks - 731.1 Control Systems - 961 Systems Science
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/33589
专题	理学院
通讯作者	Yao, Chenggui
作者单位	1.Shaoxing Univ, Dept Math, Shaoxing, Peoples R China; 2.Lanzhou Univ Technol, Dept Phys, Lanzhou, Peoples R China; 3.Jiangxi Expressway Networking Management Ctr, Nanchang, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Yao, Chenggui,Ma, Jun,Li, Chuan,et al. The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2016,39:99-107.
APA	Yao, Chenggui,Ma, Jun,Li, Chuan,&He, Zhiwei.(2016).The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,39,99-107.
MLA	Yao, Chenggui,et al."The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 39(2016):99-107.

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