摘要
研究一类平面7次微分系统,通过作两个适当的变换以及焦点量的仔细计算,得出了系统的无穷远点与2个初等焦点能够同时成为广义细焦点的条件,进一步得出在一定条件下该系统能够分支出15个极限环的结论,其中5个大振幅极限环来自无穷远点,10个小振幅极限环来自2个初等焦点.
this paper,a class of planar seventh order differential system is investigated. By introducing two appropriate transformations of system and calculating general focal values carefully,the infinity and two elementary focuses（1/2,3^（1/2）/6）,（-1/2,-3^（1/2）/6） become three general 5th fine foci at the same time and moreover 15 limit cycles including 10 small limit cycles from two elementary focuses and 5 large limit cycles from the infinity can occur under a certain condition.
出处
《系统科学与数学》
CSCD
北大核心
2010年第10期1386-1398,共13页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11071222
10871206)
湖南省教育厅重点(09A082)资助课题
