关键词: 微分方程, 周期解, 拟牛顿算法

Abstract: We gave a new method to find the periodic solution of differential equation. By the idea of Poincaré mapping, the problem of finding the periodic solution of differential equation can be converted into an optimization problem, then adopting the quasiNewton method to solve the corresponding optimization problem, we can find the periodic solution of the differential equation.

Key words: differential equations, periodic solutions, quasiNewton method