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Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles
Guo, Laigang1,2,3; Yu, Pei3; Chen, Yufu2
2019-12-15
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume363Pages:12
AbstractThis paper concerns bifurcation of limit cycles in a class of 3-dimensional quadratic systems with a special type of symmetry. Normal form theory is applied to prove that at least 12 limit cycles exist with 6-6 distribution in the vicinity of two singular points, yielding a new lower bound on the number of limit cycles in 3-dimensional quadratic systems. A set of center conditions and isochronous center conditions are obtained for such systems. Moreover, some simulations are performed to support the theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
Keyword3-dimensional quadratic system Symmetrical vector field Normal form Limit cycle Isochronous center
DOI10.1016/j.amc.2019.124577
Language英语
Funding ProjectNatural Science 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:000486390400043
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35758
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ 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. Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles[J]. APPLIED MATHEMATICS AND COMPUTATION,2019,363:12.
APA Guo, Laigang,Yu, Pei,&Chen, Yufu.(2019).Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles.APPLIED MATHEMATICS AND COMPUTATION,363,12.
MLA Guo, Laigang,et al."Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles".APPLIED MATHEMATICS AND COMPUTATION 363(2019):12.
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