| 一类具有单中心的三次非Hamilton系统的Poincaré分支 |
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| 引用本文： | 张娇,金铁英.一类具有单中心的三次非Hamilton系统的Poincaré分支[J].大学数学,2008,24(6). |
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| 作者姓名： | 张娇 金铁英 |
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| 基金项目： | 辽宁省教育厅自然科学基金
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| 摘 要： | 讨论一类具单中心的三次非Hamilton系统的Poincaré分支.采用将Abel积分进行幂级数展开的方法,借助于Mathematica编程计算,证明了其Poincaré分支可以产生位置具有任意性的两个极限环.
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| 关 键 词： | 三次非Hamilton系统 幂级数展开 Abel积分 |
Poincaré Bifurcation for the Cubic Non-Hamiltonian System and a Single Center |
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| ZHANG Jiao,JIN Tie-ying.Poincaré Bifurcation for the Cubic Non-Hamiltonian System and a Single Center[J].College Mathematics,2008,24(6). |
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| Authors: | ZHANG Jiao JIN Tie-ying |
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| Abstract: | This paper is devoted to study the cubic non-hamiltonian system and a single center.The method of the power series expansion for Abelian integral by Mathematica program is used to prove that there are two limit cycles with arbitrary location. |
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| Keywords: | cubic non-hamiltonian system power series expansion Abelian integral |
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