Bifurcations of planar Hamiltonian systems with impulsive perturbation

被引：1
|
作者：
Hu, Zhaoping [1 ,4 ]
Han, Maoan [2 ]
Romanovski, Valery G. [3 ,4 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[3] Univ Maribor, Fac Nat Sci & Math, SI-2000 Maribor, Slovenia
[4] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian system; Impulsive differential equation; Periodic solution; Bifurcation; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; OSCILLATORS; ORBITS;
D O I：
10.1016/j.amc.2013.01.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impulsive perturbation. We give some sufficient conditions under which a harmonic or subharmonic solution exists. (C) 2013 Elsevier Inc. All rights reserved.
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页码：6733 / 6742
页数：10
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