一类具有单中心的三次非Hamilton系统的Poincaré分支

Poincaré Bifurcation for the Cubic Non-Hamiltonian System and a Single Center

讨论一类具单中心的三次非Hamilton系统的Poincaré分支.采用将Abel积分进行幂级数展开的方法,借助于Mathematica编程计算,证明了其Poincaré分支可以产生位置具有任意性的两个极限环.

This paper is devoted to study the cubic non-hamiltonian system and a single center. The method of the power series expansion for Abelian integral by Mathematica program is used to prove that there are two limit cycles with arbitrary location.