|
|||||
|
|
| 再论一类二次系统的无界双中心周期环域的POincare分支 | |
| 引用本文： | 谭欣欣,冯恩民,沈伯骞.再论一类二次系统的无界双中心周期环域的POincare分支[J].应用数学学报,2004,27(2):300-309. |
| 作者姓名： | 谭欣欣 冯恩民 沈伯骞 |
| 作者单位： | 1. 大连理工大学应用数学系,大连,116024;大连大学信息工程学院,大连,116022 2. 大连理工大学应用数学系,大连,116024 3. 辽宁师范大学数学系,大连,116029 |
| 基金项目： | 国家自然科学基金(19871009号)，辽宁省高校科研基金(A990311010号) |
| 摘 要： | 本文再一次讨论了具有双曲线与赤道弧为边界的双中心周期环域的二次系统的Poincare分支，并构造出了此系统出现极限环的(0，3)分布或出现一个三重极限环的具体例子． |
| 关 键 词： | 二次系统 双曲线 Poincare分支 极限环 Abel积分 |
STUDY ON THE POINCARE BIFURCATION OF QUADRATIC SYSTEM WITH TWO CENTERS AND TWO UNBOUNDED HETEROCLINIC LOOPS ONCE AGAIN |
|
| TAN XINXIN.STUDY ON THE POINCARE BIFURCATION OF QUADRATIC SYSTEM WITH TWO CENTERS AND TWO UNBOUNDED HETEROCLINIC LOOPS ONCE AGAIN[J].Acta Mathematicae Applicatae Sinica,2004,27(2):300-309. | |
| Authors: | TAN XINXIN |
| Institution: | TAN XINXIN Department of Applied Mathematics,Dalian University of Technology,Dalian 116024 College of Information Engineering,Dalian University,Dalian 116622 FENG ENMIN Department of Applied Mathematics,Dalian University of Technoligy,Dalian 116024 SHEN BOQIAN Department of Mathematics,Liaoning Normal University,Dalian 116029 |
| Abstract: | In this paper, we studay the Poincare bifurcation of quadratic system with two centers and two unbounded heteroclinic loops once again. There bounds are formed by the hyperbola and the equatorial arc. We construct some concrete examples, in which there are three limit cycles with (0,3) distribution or a triple limit cycle. |
| Keywords: | Quadratic system Poincare bifurcation Abelian intergral triple limit cycle |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |