| 一类Lienard系统的Hopf环形数 |
| |
| 引用本文： | 严冬梅,田云.一类Lienard系统的Hopf环形数[J].浙江大学学报(理学版),2011,38(1):10-018. |
| |
| 作者姓名： | 严冬梅 田云 |
| |
| 作者单位： | 1. 上海师范大学,数学系,上海,200234;南通大学,理学院,江苏,南通,226007
2. 上海师范大学,数学系,上海,200234 |
| |
| 摘 要： | 研究了一类李纳德系统=y-Fn（x）/Pm（x）,y=-x（1＋x）的极限环数目,其中Fn（x）和Pm（x）分别是次数为n、m的多项式.利用霍尔普夫极限环分支理论,得到了具体的霍尔普夫数.
|
| 关 键 词： | 李纳德系统 极限环 霍尔普夫分支 |
Hopf cyclicity for a Lienard system |
| |
| YAN Dong-mei,TIAN Yun.Hopf cyclicity for a Lienard system[J].Journal of Zhejiang University(Sciences Edition),2011,38(1):10-018. |
| |
| Authors: | YAN Dong-mei TIAN Yun |
| |
| Affiliation: | YAN Dong-mei1,2,TIAN Yun1 (1.Depart ment of Mathematics,Shanghai Normal University,Shanghai 200234,China,2.School of Sciences,Nantong University,Nantong 226007,Jiangsu Province,China) |
| |
| Abstract: | The number of limit cycles of a Lienard system x·=y-Fn(x)/Pm(x),y·=-x(1+x) is studied, where Fn(x) and Pm(x) are polynomials of x with degree n and m respectively. By using a general theorem on Hopf bifurcation of limit cycles, some concrete Hopf cyclicity are given. |
| |
| Keywords: | Lienard system limit cycle Hopf bifurcation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
|
