A novel method for analyzing the stability of periodic solution of impulsive state feedback model

doi:10.1016/j.amc.2015.09.093

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	A novel method for analyzing the stability of periodic solution of impulsive state feedback model
	Sun, Mingjing 1; Liu, Yinli 1; Liu, Sujuan 1; Hu, Zuoliang 2; Chen, Lansun 3
	2016-01-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	273 页码:425-434
摘要	The complex dynamics on the single population model with impulsively unilateral diffusion between two patches was studied in a theoretical way. The existence, uniqueness and stability of an order-1 periodic solution was investigated for state dependent impulsively differential equations. The sufficient conditions for the existence and stability of positive periodic solution were obtained using the Poincare map by comparison with the analysis for limit cycles of continuous systems, which was different from the analogue of Poincare criterion. Meanwhile, the uniqueness of periodic solution was proofed by the monotone of successor function. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Autonomous systems with impulses Periodic solution Poincare map Monotone of successor function Stability
DOI	10.1016/j.amc.2015.09.093
语种	英语
资助项目	National Natural Science Foundation of China[11001197] ; Science Technology Foundation of Tianjin University of Science Technology[20080427]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000365613400038
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/21414
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Mingjing
作者单位	1.Tianjin Univ Sci & Technol, Sch Sci, Tianjin 300457, Peoples R China 2.Tongji Univ, Coll Elect & Informat Engn, Shanghai 200092, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, Mingjing,Liu, Yinli,Liu, Sujuan,et al. A novel method for analyzing the stability of periodic solution of impulsive state feedback model[J]. APPLIED MATHEMATICS AND COMPUTATION,2016,273:425-434.
APA	Sun, Mingjing,Liu, Yinli,Liu, Sujuan,Hu, Zuoliang,&Chen, Lansun.(2016).A novel method for analyzing the stability of periodic solution of impulsive state feedback model.APPLIED MATHEMATICS AND COMPUTATION,273,425-434.
MLA	Sun, Mingjing,et al."A novel method for analyzing the stability of periodic solution of impulsive state feedback model".APPLIED MATHEMATICS AND COMPUTATION 273(2016):425-434.