(E_n)系统极限环的相对位置  

The Relative Locations of Limit Cycles of an (E_n) System.

作　　者：白敬新 

机构地区：[1]川南林业局东风木材厂,峨边614300

出　　处：《数学学报（中文版）》2004年第2期337-342,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：本文证明了,对任意正整数K,存在平面n次系统,它具有一串不少于K个 大极限环.这些大极限环两两之间各有若干小极限环.In this paper, it is proved that for any positive integer K, ther a exists a planar n-polynomial system which has a series of big limit cycles, and the number of the big limit cycles is at least K. Furthermore, there are many small limit cycles between any of them.

关 键 词：相对位置 极限环 N次系统 

分 类 号：O175.12[理学—数学]