节点文献
一类微分系统无穷远点的中心与拟等时中心
The Centers and Quasi-isochronous Centers at Infinity for a Class of Differential Systems
【摘要】 给出了微分系统无穷远点等时中心、拟等时中心的定义。通过奇点量与周期常数的计算,得到了一类三次多项式微分系统无穷远点的中心条件与拟等时中心条件,同步解决了一类有理系统的无穷远点的等时中心问题。
【Abstract】 The definitions of the isochronous center and the quasi-isochronous center at infinity for differential systems are introduced. By means of computations of singular point values and period constants, the problems of center conditions and quasi-isochronous center conditions at infinity for a class of cubic polynomial differential systems are solved. The conditions of infinity to be an isochronous center for a class of rational differential systems are also given.
【关键词】 无穷远点;
中心;
等时中心;
拟等时中心;
【Key words】 infinity; center; isochronous center; quasi-isochronous center;
【Key words】 infinity; center; isochronous center; quasi-isochronous center;
【基金】 国家自然科学基金资助项目(60464001)
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Sunyatseni , 编辑部邮箱 ,2005年04期
- 【分类号】O175.12
- 【被引频次】11
- 【下载频次】83