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.
引用
收藏
页码：6733 / 6742
页数：10
相关论文
共 50 条
  • [1] On Hopf bifurcations of piecewise planar Hamiltonian systems
    Yang, Junmin
    Han, Maoan
    Huang, Wenzhang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (02) : 1026 - 1051
  • [2] PERTURBATION OF PLANAR, KEPLERIAN HAMILTONIAN-SYSTEMS
    OUNAIES, H
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (06) : 675 - 696
  • [3] Impulsive Boundary Value Problems for Planar Hamiltonian Systems
    Kayar, Zeynep
    Zafer, Agacik
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [4] BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
    Barrio, R.
    Blesa, F.
    Serrano, S.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (05): : 1293 - 1319
  • [5] Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor
    Viano, M
    Llibre, J
    Giacomini, H
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (01) : 117 - 136
  • [6] Nonautonomous Bifurcations in Nonlinear Impulsive Systems
    Marat Akhmet
    Ardak Kashkynbayev
    [J]. Differential Equations and Dynamical Systems, 2020, 28 : 177 - 190
  • [7] Nonautonomous Bifurcations in Nonlinear Impulsive Systems
    Akhmet, Marat
    Kashkynbayev, Ardak
    [J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (01) : 177 - 190
  • [8] Umbilical torus bifurcations in Hamiltonian systems
    Broer, HW
    Hanssmann, H
    You, JG
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 222 (01) : 233 - 262
  • [9] Bifurcations in Hamiltonian Systems with a Reflecting Symmetry
    Maikel Bosschaert
    Heinz Hanßmann
    [J]. Qualitative Theory of Dynamical Systems, 2013, 12 : 67 - 87
  • [10] Transcritical bifurcations in nonintegrable Hamiltonian systems
    Brack, Matthias
    Tanaka, Kaori
    [J]. PHYSICAL REVIEW E, 2008, 77 (04):
12345