| 一类三次系统的全局结构和分支 |
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| 引用本文： | 谢向东.一类三次系统的全局结构和分支[J].宝鸡文理学院学报(自然科学版),2006,26(4):264-268,272. |
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| 作者姓名： | 谢向东 |
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| 作者单位： | 宁德师范高等专科学校,福建,宁德,352100 |
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| 基金项目： | 福建省自然科学基金(Z0511052)，福建省教育厅科研基金(JA04274)，宁德师专重点科研基金资助项目 |
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| 摘 要： | 目的研究谢向东,陈凤德的论文Uniqueness of limit cycles and quality of infinite criticalpoint for a class of cubic system(Ann Diff Eqs,2005,21(3):474-479)的遗留问题,是该文的继续。方法采用定性与定量的分析方法。结果完整给出了系统的全局结构和分支情况。结论说明该三次系统部分全局结构和分支情况在三次系统中还是首次发现。
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| 关 键 词： | 相伴系统 三次系统 全局结构 无穷远奇点 |
| 文章编号： | 1007-1261（2006）04-0264-05 |
| 收稿时间： | 2006-04-27 |
| 修稿时间： | 2006-04-272006-08-29 |
The global structure and bifurcation for a class of cubic system |
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| XIE Xiang-dong.The global structure and bifurcation for a class of cubic system[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2006,26(4):264-268,272. |
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| Authors: | XIE Xiang-dong |
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| Institution: | Ningde Teachers College, Ningde 352100, Fu]ian, China |
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| Abstract: | Aim To detailedly study some questions in uniqueness of limit cycles and quality of infinite critical point for a class of cubic system was written by XIE Xiang-dong and CHEN Feng-de(Ann Diff Eqs,2005,21(3):474-479).Metheds The both qualitative analysis and quanlititative analysis were used.Results The global structure and bifurcation of system i.e.=-y ex lx~2 mxy=P(x,y),=x(1 ay by~2)=Q(x,y) were given.Conclusion That some global structures and bifurcation are new in cubic system. |
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| Keywords: | accompany system cubic system global structure critical point at infinity |
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