BIFURCATIONS OF TWISTED HOMOCLINIC LOOPS FOR DEGENERATED CASES

被引：0
|
作者：
Jin YinlaiDept. of Math.
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2003年 / 02期
基金：
中国国家自然科学基金;
关键词：
local coordinates; bifurcation equation; twist homoclinic loop; bifurcation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,the bifurcation problems of twisted and degenerated homoclinic loop for higher dimensional systems are studied.Under the nonresonant condition,the existence,uniqueness,and incoexistence of the 1-homoclinic loop and 1-periodic orbit near Γ are obtained,and the inexistence of the 2-homoclinic loop and the existence of 2-periodic orbit near Γ are also given.
引用
收藏
页码：186 / 192
页数：7
相关论文
共 50 条
  • [41] Bifurcations of heteroclinic loops
    Deming Zhu
    Zhihong Xia
    [J]. Science in China Series A: Mathematics, 1998, 41 : 837 - 848
  • [42] Bifurcations of heteroclinic loops
    朱德明
    夏志宏
    [J]. Science China Mathematics, 1998, (08) : 837 - 848
  • [43] Bifurcations of heteroclinic loops
    Zhu, DM
    Xia, ZH
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (08): : 837 - 848
  • [44] On the Stability of Double Homoclinic Loops
    Clodoaldo Grotta Ragazzo
    [J]. Communications in Mathematical Physics, 1997, 184 : 251 - 272
  • [45] Conservative homoclinic bifurcations and some applications
    Anton Gorodetski
    Vadim Kaloshin
    [J]. Proceedings of the Steklov Institute of Mathematics, 2009, 267 : 76 - 90
  • [46] Bifurcations of cuspidal loops
    Dumortier, F
    Roussarie, R
    Sotomayor, J
    [J]. NONLINEARITY, 1997, 10 (06) : 1369 - 1408
  • [47] Homoclinic loop bifurcations on a Mobius band
    Guimond, LS
    [J]. NONLINEARITY, 1999, 12 (01) : 59 - 78
  • [48] Homoclinic bifurcations in heterogeneous market models
    Foroni, I
    Gardini, L
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 15 (04) : 743 - 760
  • [49] Homoclinic bifurcations in a planar dynamical system
    Giannakopoulos, F
    Küpper, T
    Zou, YK
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (04): : 1183 - 1191
  • [50] BIFURCATIONS OF HOMOCLINIC ORBITS IN BIMODAL MAPS
    HANSEN, KT
    [J]. PHYSICAL REVIEW E, 1994, 50 (02): : 1653 - 1656
12345