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THE QUADRATIC SYSTEM WITH NONHYPERBOLIC HOMOCLINIC CYCLE
THE QUADRATIC SYSTEM WITH NONHYPERBOLIC HOMOCLINIC CYCLE
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摘要
In this paper, we will show some sufficient conditions to assert certain system existing nonhyperbolic homoclinic cycles.
In this paper, we will show some sufficient conditions to assert certain system existing nonhyperbolic homoclinic cycles.
作者
Song Xiujuan Zheng Yanhong Li Xuepeng
机构地区
Dept. of Math.
出处
《Annals of Differential Equations》
2005年第3期403-406,共4页
微分方程年刊(英文版)
关键词
quadratic
systems
nonbyperbolic
homoclinic
cycles
Lie
group
quadratic systems, nonbyperbolic homoclinic cycles, Lie group
分类号
O156.5 [理学—基础数学]
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1
Lin Xueru,Li Xuepeng.
QUADRATIC SYSTEM WITH HOMOCLINIC CYCLE DESCRIBED BY SEXTIC CURVE[J]
.Annals of Differential Equations,2005,21(3):331-336.
2
Xuepeng Li, Meihua Huang (School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007).
HOMOCLINIC CYCLES OF A QUADRATIC SYSTEM DESCRIBED BY QUARTIC CURVES[J]
.Annals of Differential Equations,2009,25(4):397-406.
3
Ali. Elamin. M. Saeed Luo Dingjun.
LIMIT CYCLE PROBLEM OF QUADRATIC SYSTEM OF TYPE ( Ⅲ )m=0, ( Ⅲ )[J]
.Applied Mathematics(A Journal of Chinese Universities),2005,20(4):431-440.
被引量:2
4
宋矞.
UNIQUENESS AND DISTRIBUTION OF LIMIT CYCLES FOR BOUNDED QUADRATIC SYSTEM[J]
.Annals of Differential Equations,2001,17(4):352-362.
5
叶彦谦.
A SPECIAL CUBIC SYSTEM CLOSE RELATED TOTHE GENERAL QUADRATIC SYSTEM[J]
.Annals of Differential Equations,1999,15(3):319-326.
6
ZHANG Xiang(Department of Mathematics, Nanjing Normal University, Nanjing 210024, China).
DETERMINATION OF THE SIGN OF DIVERGENCE OF A QUADRATIC SYSTEM AT CRITICAL POINTS[J]
.Systems Science and Mathematical Sciences,1997,10(4):344-355.
7
ShenQiZHAO PingGuangZHANG.
Uniqueness of Limit Cycle for the Quadratic Systems with Weak Saddle and Focus[J]
.Acta Mathematica Sinica,English Series,2004,20(4):647-652.
8
徐思林,朱豫根.
A METHOD PROVING THE UNIQUENESS OF THE LIMIT CYCLE OF THE QUADRATIC SYSTEM[J]
.Annals of Differential Equations,1996,12(2):226-228.
9
冯贝叶.
Stability of a homoclinic cycle and a heteroclinic cycle in space[J]
.Chinese Science Bulletin,1995,40(3):260-261.
10
刘南根.
DISTRIBUTION OF LIMIT CYCLES FOR A CLASS OF QUADRATIC SYSTEM[J]
.Chinese Science Bulletin,1982,27(8).
Annals of Differential Equations
2005年 第3期
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