Poincare Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe

被引：2

作者：

He, Yefeng ^{[1
]}

Xing, Yepeng ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国国家自然科学基金;

关键词：

BOUNDARY-VALUE-PROBLEMS; PREDATOR-PREY MODEL; SEMIDYNAMICAL SYSTEMS;

D O I：

10.1155/2013/382592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincare map.

引用

页数：11

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