CODIMENSION 3 BIFURCATIONS OFHOMOCLINIC ORBITS WITH ORBITFLIPS AND INCLINATION FLIPS

被引：0

作者：

SHUI SHULIANG ZHU DEMING College of Mathematics and Physics

机构：

来源：

Chinese Annals of Mathematics,Series B | 2004年 / 04期

关键词：

Bifurcation; Homoclinic orbit; Orbit flip; Inclination flip; Periodic orbit;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

The homoclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near the homoclinic orbit. This homoclinic orbit is non-principal in the meanings that its positive semi-orbit takes orbit flip and its unstable foliation takes inclination flip. The existence, nonexistence, uniqueness and coexistence of the 1-homoclinic orbit and the 1-periodic orbit are studied. The existence of the twofold periodic orbit and three-fold periodic orbit are also obtained.

引用

页码：555 / 566

页数：12

共 50 条

[1] Codimension 3 bifurcations of homoclinic orbits with orbit flips and inclination flips
Shui, SL
Zhu, DM
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2004, 25 (04) : 555 - 566
[2] Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
Shui, SL
Zhu, DM
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (02): : 248 - 260
[3] Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
SHUI Shuliang ZHU Deming College of Mathematics and Physics Zhejiang Normal University Jinhua China
Department of Mathematics East China Normal University Shanghai China
[J]. Science in China,Ser.A, 2005, Ser.A.2005 (02) - 260
[4] Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
SHUI Shuliang & ZHU Deming College of Mathematics and Physics
Department of Mathematics
[J]. Science China Mathematics, 2005, (02) : 248 - 260
[5] Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
Shuliang Shui
Deming Zhu
[J]. Science in China Series A: Mathematics, 2005, 48 : 248 - 260
[6] Codimension 2 reversible heteroclinic bifurcations with inclination flips
Xu YanCong
Zhu DeMing
Deng GuiFeng
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (08): : 1801 - 1814
[7] Codimension 2 reversible heteroclinic bifurcations with inclination flips
YanCong Xu
DeMing Zhu
GuiFeng Deng
[J]. Science in China Series A: Mathematics, 2009, 52 : 1801 - 1814
[8] CODIMENSION 3 HETEROCLINIC BIFURCATIONS WITH ORBIT AND INCLINATION FLIPS IN REVERSIBLE SYSTEMS
Xu, Yancong
Zhu, Deming
Geng, Fengjie
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (12): : 3689 - 3701
[9] Codimension 2 reversible heteroclinic bifurcations with inclination flips
XU YanCong1
[J]. Science China Mathematics, 2009, (08) : 1801 - 1814
[10] Codimension 2 reversible heteroclinic bifurcations with inclination flips
XU YanCong ZHU DeMing DENG GuiFeng Department of Mathematics Hangzhou Normal University Hangzhou Xiasha China Department of Mathematics East China Normal University Shanghai China School of Mathematics and Information Shanghai Lixiu University of Commerce Shanghai China
[J]. Science in China(Series A:Mathematics), 2009, 52 (08) - 1814

← 1 2 3 4 5 →