A novel method for analyzing the stability of periodic solution of impulsive state feedback model
文献类型：期刊论文
| 作者 | Sun, Mingjing1; Liu, Yinli1; Liu, Sujuan1; Hu, Zuoliang2; Chen, Lansun3 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2016-01-15 |
| 卷号 | 273页码:425-434 |
| 关键词 | Autonomous systems with impulses Periodic solution Poincare map Monotone of successor function Stability |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2015.09.093 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000365613400038 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21413]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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