文献类型：期刊文献

英文题名：The effect of process delay on dynamical behaviors in a self-feedback nonlinear oscillator

作者：Yao, Chenggui[1];Ma, Jun[2];Li, Chuan[3];He, Zhiwei[1]

机构：[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

年份：2016

卷号：39

起止页码：99

外文期刊名：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录：SCI-EXPANDED(收录号：WOS:000375933800009)、、EI(收录号：20161302154373)、Scopus(收录号：2-s2.0-84962560914)、WOS

基金：This work was supported partially by Natural Science Foundation of Zhejiang Province under Grant Nos. LY16A050001, the National Natural Science Foundation of China under Grant Nos. 11205103 and 179 11275129.

语种：英文

外文关键词：Feedback loop; Process delay; Transmission delay; Amplitude death; Nonlinear oscillator

外文摘要：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.