Identifying weak focus and center in a convection model
Guo, Laigang1,2,3; Yu, Pei3; Chen, Yufu2
AbstractIn 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.
KeywordConvection model 3-dimensional quadratic system Normal form Limit cycle
Indexed BySCI
Funding ProjectNatural Sciences and Engineering Research Council of Canada[R2686A2] ; National Natural Science Foundation of China[11271363] ; China Postdoctoral Science Foundation[2019TQ0343]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000494048300024
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Document Type期刊论文
Corresponding AuthorYu, Pei
Affiliation1.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
Recommended Citation
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.
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