Stability of a convex order one periodic solution of unilateral asymptotic type

doi:10.1007/s11071-017-3647-2

CSpace

	Stability of a convex order one periodic solution of unilateral asymptotic type
	Huang, Mingzhan 1; Chen, Lansun 2; Song, Xinyu 1
	2017-10-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	90 期号:1 页码:83-93
摘要	In this paper, we consider semi-continuous dynamical systems with linear impulsive conditions, which have a convex order one periodic solution of unilateral asymptotic type. By constructing a sequence of switched systems and using the square approximation of the order one periodic solution, some stability criteria of the order one periodic solution are obtained. Compared with the continuous dynamical system, these criteria are very similar and also easily to be applied in the research of practical problems.
关键词	Order one periodic solution Square approximation Successor function Orbitally stable
DOI	10.1007/s11071-017-3647-2
语种	英语
资助项目	National Natural Science Foundation of China[11671346] ; National Natural Science Foundation of China[11501489] ; National Natural Science Foundation of China[11371306] ; National Natural Science Foundation of China[11601466] ; Nanhu Scholars Program of XYNU ; Nanhu Scholars Program for Young Scholars of XYNU ; Youth Teacher Foundation of XYNU[2016GGJJ-14] ; Foundation and frontier project of Henan Province[152300410019]
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000412118700007
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26624
专题	中国科学院数学与系统科学研究院
通讯作者	Song, Xinyu
作者单位	1.Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, Mingzhan,Chen, Lansun,Song, Xinyu. Stability of a convex order one periodic solution of unilateral asymptotic type[J]. NONLINEAR DYNAMICS,2017,90(1):83-93.
APA	Huang, Mingzhan,Chen, Lansun,&Song, Xinyu.(2017).Stability of a convex order one periodic solution of unilateral asymptotic type.NONLINEAR DYNAMICS,90(1),83-93.
MLA	Huang, Mingzhan,et al."Stability of a convex order one periodic solution of unilateral asymptotic type".NONLINEAR DYNAMICS 90.1(2017):83-93.