摘要
研究一类四次多项式微分系统原点的极限环问题,可以利用计算机代数Mathematica计算出系统原点的奇点量,导出了系统的原点的中心条件和最高阶焦点的条件。如此,可证明该系统在原点邻域可分支出8个极限环。
In this paper, the limit cycles of the origin for a quartic polynomial differential system is studied. Firstly, the singular point values of the origin are obtained by using computer algebra -- Mathematica. Then the central and highest order focus conditions of the origin are derived respectively. Finally, it is proved that there are eight limit cycles bifurcated from the origin of the system.
出处
《贺州学院学报》
2013年第1期133-137,共5页
Journal of Hezhou University
基金
国家自然科学基金项目(11261013)
广西自然科学基金项目(2012GXNSFAA053003)
关键词
四次多项式系统
奇点量
中心
极限环
Quartie polynomial system
Singular point value
Center
Limit cycle
