ON THE NUMBER OF LIMIT-CYCLES IN PERTURBATIONS OF QUADRATIC HAMILTONIAN-SYSTEMS

被引：0
|
作者：
HOROZOV, E [1 ]
ILIEV, ID [1 ]
机构：
[1] BULGARIAN ACAD SCI,INST MATH,BU-1090 SOFIA,BULGARIA
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 1994年 / 69卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that in quadratic perturbations of generic quadratic Hamiltonian vector fields with three saddle points and one centre there can appear at most two limit cycles. This bound is exact.
引用
收藏
页码：198 / 224
页数：27
相关论文
共 50 条
  • [21] ON LIMIT-CYCLES OF PLANAR QUADRATIC SYSTEM
    QIN, YX
    SUO, GJ
    DU, XF
    SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1983, 26 (10): : 1025 - 1033
  • [22] ANALYSIS OF PERIODIC PERTURBATIONS OF LIMIT-CYCLES
    REHMUS, P
    ROSS, J
    JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (06): : 3747 - 3755
  • [23] ON LIMIT-CYCLES OF PLANAR QUADRATIC SYSTEM
    QIN, YX
    SHI, SL
    CAI, SL
    SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1982, 25 (01): : 41 - 50
  • [24] WEAK FOCUS, LIMIT-CYCLES, AND BIFURCATIONS FOR BOUNDED QUADRATIC SYSTEMS
    LI, CZ
    LLIBRE, J
    ZHANG, ZF
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 115 (01) : 193 - 223
  • [25] LIMIT-CYCLES IN A QUADRATIC DISCRETE ITERATION
    BINDER, PM
    PHYSICA D, 1992, 57 (1-2): : 31 - 38
  • [26] ON LIMIT-CYCLES OF PLANAR QUADRATIC SYSTEM
    QIN, YX
    SHI, SL
    CAI, SL
    SCIENTIA SINICA, 1982, 25 (01): : 41 - 50
  • [27] RANDOM PERTURBATIONS OF HAMILTONIAN-SYSTEMS
    FREIDLIN, MI
    WENTZELL, AD
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 109 (523) : R5 - &
  • [28] The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles
    Xiong, Yanqin
    Han, Maoan
    Romanovski, Valery G.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (08):
  • [29] On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems
    Kazemi, Rasool
    Zangeneh, Hamid R. Z.
    Atabaigi, Ali
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 574 - 587
  • [30] ON ASYMPTOTICALLY QUADRATIC HAMILTONIAN-SYSTEMS
    BENCI, V
    CAPOZZI, A
    FORTUNATO, D
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (08) : 929 - 931
12345