Existence of echo wave in the coupled-Oregonator system

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	Existence of echo wave in the coupled-Oregonator system
	Zheng, ZH; Zhou, TS; Zhang, ZF; Zhang, SC
	2002-08-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	14 期号:3 页码:425-432
摘要	In this paper we suggest a new line of solving a problem (say, existence of echo waves) in a high-dimensional system, in the sense that we transform the problem on existence of echo waves in n identical oscillators coupled into that on existence of a periodic solution in a functional differential equation of a planar system. We first give the location of periodic solutions and then through successive lemmas we rigorously prove existence of echo waves in the n coupled Oregonators. This work, we think, is the key step toward solving Tyson's conjecture [Ann. N. Y. Acad. Sci. 316 (1979) 279]. (C) 2002 Elsevier Science Ltd. All rights reserved.
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000175741900006
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17703
专题	应用数学研究所系统科学研究所
通讯作者	Zheng, ZH
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, ZH,Zhou, TS,Zhang, ZF,et al. Existence of echo wave in the coupled-Oregonator system[J]. CHAOS SOLITONS & FRACTALS,2002,14(3):425-432.
APA	Zheng, ZH,Zhou, TS,Zhang, ZF,&Zhang, SC.(2002).Existence of echo wave in the coupled-Oregonator system.CHAOS SOLITONS & FRACTALS,14(3),425-432.
MLA	Zheng, ZH,et al."Existence of echo wave in the coupled-Oregonator system".CHAOS SOLITONS & FRACTALS 14.3(2002):425-432.