摘要
研究了一类与二次系统相伴的四次系统.证明了它至多有一个极限环,并得到了奇点的性态和拓扑结构,把相伴系统的极限环的唯一性推广到了四次系统.
A class of quartic system, which is an accompany system of a quadratic differential one, is studied in this paper. It is proved that the system has at most one limit cycle, the topological struture and character of the critical point at infinity are obtained, and the conclusion for the unigueness of limit cycles of accompany system is extended to quartic system.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第3期329-333,共5页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(项目编号:Z0511052)
福建省教育厅科研基金资助项目(项目编号:JA04158)
福州大学科技发展基金资助项目(项目编号:2005-XQ-20)
关键词
相伴系统
拓扑结构
极限环
唯一性
无穷远奇点
accompany system
topological structure
limit cycle
uniquness
infinity critical point
