一类具有三次扰动的单中心环域的可积非Hamilton系统的Abel积分

Structure and number of zero points for a class of integrable non-Hamilton systems

讨论了一类由直线为边界的单中心环域的可积非Hamilton系统的Abel积分的构造以及Abel积分零点个数的上界问题,证明了其Abel积分零点个数的一个上界为4。

The structure and the number of zero points are discussed tor a class ot the Abel integral with bound of linear of a single center formed by the same orbit with integrable non-Hamilton systems. It proves that the upper limit for the number of zero point is 6 in the Abelian integrals.