一类五次多项式系统无穷远点拟等时中心条件研究

Isochronous Center Conditions at Infinity for A Class of Fifth Polynomial System

通过同胚变换把系统无穷远点化为原点,研究了一类五次系统无穷远点中心与拟等时中心问题。利用最新算法求出了无穷远点作为中心时的周期常数,给出并证明了这类五次系统无穷远点拟等时中心的条件。

Infinity is used as a base point in homemorphic transformation to study infinity for a class of fifth system and isochronous center problems. The latest algorithm is used to derive the periodic constant when the infinity is used as a center,and the isochronous center conditions at infinity for the fifth system are demonstrated.