Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems

被引:20
|
作者
Henrard, M
Zanolin, F
机构
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
关键词
D O I
10.1016/S0022-247X(02)00504-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:79 / 103
页数:25
相关论文
共 50 条
  • [31] Bifurcation Near a Transcritical Singularity in Planar Singularly Perturbed Systems
    Shen, Jianhe
    Zhang, Xiang
    Zhu, Kun
    STUDIES IN APPLIED MATHEMATICS, 2025, 154 (01)
  • [32] Three periodic solutions for perturbed second order Hamiltonian systems
    Cordaro, Giuseppe
    Rao, Giuseppe
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 780 - 785
  • [33] ASYMPTOTICS OF SOLUTIONS AND SPECTRA OF PERTURBED PERIODIC HAMILTONIAN-SYSTEMS
    HINTON, DB
    SHAW, JK
    LECTURE NOTES IN MATHEMATICS, 1987, 1285 : 169 - 174
  • [34] Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems
    Guirao, Juan L. G.
    Llibre, Jaume
    Vera, Juan A.
    CHAOS SOLITONS & FRACTALS, 2013, 57 : 105 - 111
  • [35] Periodic solutions of time-dependent perturbed Hamiltonian systems
    Alberti, Angelo
    Vidal, Claudio
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2025, 32 (02):
  • [36] ABSOLUTELY CONTINUOUS SPECTRA OF PERTURBED PERIODIC HAMILTONIAN-SYSTEMS
    HINTON, DB
    SHAW, JK
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1987, 17 (04) : 727 - 748
  • [37] Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities
    Zaihong Wang
    Tiantian Ma
    Boundary Value Problems, 2017
  • [38] EXISTENCE OF PERIODIC SOLUTIONS FOR PLANAR HAMILTONIAN SYSTEMS AT RESONANCE
    Kim, Yong-In
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (06) : 1143 - 1152
  • [39] Bifurcation of periodic orbits in a class of planar Filippov systems
    Du, Zhengdong
    Li, Yurong
    Zhang, Weinian
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3610 - 3628
  • [40] Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities
    Wang, Zaihong
    Ma, Tiantian
    BOUNDARY VALUE PROBLEMS, 2017,