| 摘要: |
| 给出一类四次多项式系统原点的前8个奇点量,由奇点量导出焦点量,得到该系统原点成为8阶细焦点的条件,证明该系统从原点可以分支出8个极限环. |
| 关键词: 四次多项式系统 奇点量 焦点量 极限环 |
| DOI： |
| 投稿时间：2012-12-22修订日期：2013-02-27 |
| 基金项目:国家自然科学基金项目(10961011),广西教育厅高校科研项目(201204LX482)资助。 |
|
| The Bifurcation of Limit Cycles for a Quartic Polynomial System |
|
LU Jing-ping
|
| (Department of Mathematics and Computer Science, Guangxi Normal University for Nationalities, Chongzuo, Guangxi, 532200, China) |
| Abstract: |
| The bifurcation of limit cycles from a weak focal is investigated for a quartic polynomial system. The first 8 singular point values are given at the origin of system,and the focal values can be derived from the singular points, then the conditions that the origin is an 8-order weak focal is obtained. Finally, it is proved that this system has 8 limit cycles in the neighborhood of the origin. |
| Key words: quartic polynomial system singular point value focal value limit cycle |
