Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation

被引：3
|
作者：
Xiao, Qizhen [1 ]
Dai, Binxiang [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
PREDATOR-PREY SYSTEM; HOMOCLINIC BIFURCATION; DYNAMICS; MODEL;
D O I：
10.1155/2015/816325
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions.
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页数：7
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