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, Jun 2; Li, Chuan 3; He, Zhiwei 1
刊名	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
	2016-10
卷号	39 页码:99-107
关键词	Feedback loop Process delay Transmission delay Amplitude death Nonlinear oscillator
ISSN号	1007-5704
DOI	10.1016/j.cnsns.2016.02.025
英文摘要	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.
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
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000375933800009
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/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
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.