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一类三次系统的极限环个数与奇点分支
THE NUMBER AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF CUBIC SYSTEMS
查看参考文献9篇
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文摘
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给出二次系统Ⅰ的一类相伴系统在奇点O(0,0)的焦点量公式,证明了O至多为2阶细焦点,δlmn=0时系统在O外围至多有一个极限环,从而说明了系统在细焦点外围至多有一个极限环.最后给出了各个奇点的分支情况及几何特征. |
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其他语种文摘
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This paper gives the focus values of each order at 0(0,0) for a class of accom-panying system of the quadratic differential system I, and proves that the system with 5lmn = 0 has at most one limit cycle surrounding 0, which means that the system has at most one limit cycle surrounding weak focus. Finally the geometric characteristics of all singular points are given. |
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来源
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系统科学与数学
,2005,25(4):414-422 【核心库】
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关键词
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相伴系统
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三次系统
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分支
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极限环
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唯一性
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地址
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1.
宁德师范高等专科学校, 福建, 宁德, 352100
2.
福州大学数学与计算机科学学院, 福建, 福州, 350002
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金
;
福建省自然科学基金
;
福建省教育厅科研项目
;
宁德师范高等专科学校科研基金
;
国家自然科学基金数学天元基金
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文献收藏号
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CSCD:2027032
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参考文献 共
9
共1页
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