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Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles

文献类型：期刊论文

作者Guo, Laigang1,2,3; Yu, Pei1; Chen, Yufu2
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2019-12-15
卷号363页码:12
关键词3-dimensional quadratic system Symmetrical vector field Normal form Limit cycle Isochronous center
ISSN号0096-3003
DOI10.1016/j.amc.2019.124577
英文摘要This 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.
资助项目Natural Science 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
WOS记录号WOS:000486390400043
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35757]  
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.Western Univ, Dept Appl Math, London, ON N6A 5B7, Canada
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Univ Chinese Acad Sci, Acad Math & Syst Sci, KLMM, NCMIS, Beijing 100190, Peoples R China
推荐引用方式
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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来源：数学与系统科学研究院

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