关键词: Hamilton系统, 一致有效渐近展开式, 重整化群方法

Abstract: Using the renormalization group method, we investigated a class of Hamiltonian systems with two degrees of freedom, and obtained the renormalization group equation to O(ε) order of this kind of Hamiltonian systems. Meanwhile, we proved that the renormalization group equation was also a Hamiltonian system.

Key words: uniformly valid asymptotic expansion, renormalization group method, Hamiltonian system