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

doi:10.1016/j.amc.2019.124577

	Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles
	Guo, Laigang 1,2,3; Yu, Pei 1; Chen, Yufu 2
刊名	APPLIED MATHEMATICS AND COMPUTATION
	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
DOI	10.1016/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
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000486390400043
内容类型	期刊论文
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.