Limit Cycle Containing Nine Critical Points in its Interior for a Class of Cubic Systems
来源期刊:中南大学学报(英文版)2000年第2期
论文作者:LIU Yi-rong XJAO Ping
文章页码:111 - 112
Key words:cubic systems; critical point of nine orders; limit cycle
Abstract: Discuss a class of real planar cubic systems with a critical pointO(0,0) of nine orders and obtain the conditions for its limit cycle surrounding the origin, and prove that when small pertubations of coefficients are made, the critical pointO(0,0) of nine orders is split into nine real simple critical points and the limit cycle surrounding the origin becomes the limit cycle containing nine critical points in its interior.