Identifying weak focus and center in a convection model

doi:10.1016/j.aml.2019.106019

	Identifying weak focus and center in a convection model
	Guo, Laigang 1,2,3; Yu, Pei 3; Chen, Yufu 2
刊名	APPLIED MATHEMATICS LETTERS
	2020-02-01
卷号	100 页码:7
关键词	Convection model 3-dimensional quadratic system Normal form Limit cycle
ISSN号	0893-9659
DOI	10.1016/j.aml.2019.106019
英文摘要	In this paper, we consider a 3-dimensional convection model and identify its weak focus and center. This model is described by quadratic polynomial differential equations, having three equilibria, two of them may be center-focus type. Center manifold theory and normal form theory are applied to prove that at least three limit cycles can bifurcate from a Hopf critical point around one of the two equilibria. (C) 2019 Elsevier Ltd. All rights reserved.
资助项目	Natural Sciences and Engineering Research Council of Canada[R2686A2] ; National Natural Science Foundation of China[11271363] ; China Postdoctoral Science Foundation[2019TQ0343]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000494048300024
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50621]
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Pei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, NCMIS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Western Univ, Dept Appl Math, London, ON N6A 5B7, Canada
推荐引用方式 GB/T 7714	Guo, Laigang,Yu, Pei,Chen, Yufu. Identifying weak focus and center in a convection model[J]. APPLIED MATHEMATICS LETTERS,2020,100:7.
APA	Guo, Laigang,Yu, Pei,&Chen, Yufu.(2020).Identifying weak focus and center in a convection model.APPLIED MATHEMATICS LETTERS,100,7.
MLA	Guo, Laigang,et al."Identifying weak focus and center in a convection model".APPLIED MATHEMATICS LETTERS 100(2020):7.