一类具有退化平衡点的概周期微分方程的可约化性

Reducibility for a Class of Almost- Periodic Differential Equations with Degenerate Equilibrium Point

本文主要研究一类概周期微分方程在退化平衡点附近的摄动问题.以KAM方法为工具,摄动系统可以通过一个概周期变换化成以零为平衡点的正规形.研究的概周期微分方程是变系数的.

This paper focuses on almost- periodic time- dependent perturbation of an almost periodic differential equation near degenerate equilibrium point. Using the KAM method,the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost periodic transformation. The almost periodic differential equation have the variable coefficient.