EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS

doi:10.3934/dcdsb.2017130

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	EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS
	Chu, Jifeng 1; Liang, Zaitao 2; Torres, Pedro J.3; Zhou, Zhe4
	2017-09-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	22 期号:7 页码:2669-2685
摘要	We study the existence and stability of periodic solutions of a differential equation that models the planar oscillations of a satellite in an elliptic orbit around its center of mass. The proof is based on a suitable version of Poincare-Birkhoff theorem and the third order approximation method.
关键词	Satellite equation twist periodic solutions unstable periodic solutions Poincare-Birkhoff theorem third order approximation
DOI	10.3934/dcdsb.2017130
语种	英语
资助项目	National Natural Science Foundation of China[11171090] ; National Natural Science Foundation of China[11671118] ; National Natural Science Foundation of China[11301512] ; Fundamental Research Funds for the Central Universities[KYZZ15_0155] ; Spanish MICINN Grant ; FEDER funds[MTM2014-52232-P] ; Key Lab of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000402309200008
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25678
专题	应用数学研究所
通讯作者	Chu, Jifeng
作者单位	1.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China 2.Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China 3.Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chu, Jifeng,Liang, Zaitao,Torres, Pedro J.,et al. EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2017,22(7):2669-2685.
APA	Chu, Jifeng,Liang, Zaitao,Torres, Pedro J.,&Zhou, Zhe.(2017).EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,22(7),2669-2685.
MLA	Chu, Jifeng,et al."EXISTENCE AND STABILITY OF PERIODIC OSCILLATIONS OF A RIGID DUMBBELL SATELLITE AROUND ITS CENTER OF MASS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 22.7(2017):2669-2685.