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

doi:10.1016/j.amc.2019.124577

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	Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles
	Guo, Laigang 1,2,3; Yu, Pei 3; Chen, Yufu 2
	2019-12-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	363 页码:12
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.
关键词	3-dimensional quadratic system Symmetrical vector field Normal form Limit cycle Isochronous center
DOI	10.1016/j.amc.2019.124577
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000486390400043
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35758
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.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
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.