ON BIFURCATION OF LIMIT-CYCLES FROM CENTERS

被引：0
作者：
CHICONE, C
机构：
来源：
LECTURE NOTES IN MATHEMATICS | 1990年 / 1455卷
关键词：
LIMIT CYCLES; CENTER BIFURCATIONS; MULTIPLE HOPF BIFURCATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a one parameter family of plane vector fields X(., epsilon) depending analytically on a small real parameter epsilon, we determine the number and position of the local families of limit cycles which emerge from the periodic trajectories surrounding a center. Aside from the intrinsic interest in the example we choose, it serves to illustrate some techniques which are developed for treating similar bifurcation problems when the first order methods are inconclusive. Actually, we are able to treat the bifurcations of all orders.
引用
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页码：20 / 43
页数：24
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