摘要
讨论了形如的Duffing方程的解析解．根据ε的值和初始位移和初始速度的值，讨论可分为27类．解的形式并非都是椭圆函数的形式，且有些解有奇性．最后给出了建立在定性分析基础上的解的分析．
The analytical solutions to Duffing equationare discussed. Decussions, according to the value of and the values of the initial displacement and speed, are classified into 27 kinds.The forms of solutions are not all in the form of elliptic functions. And some solutions are strange. At the end, a qualitative analysis of the solutions is given.
出处
《上海师范大学学报（自然科学版）》
1998年第1期24-32,共9页
Journal of Shanghai Normal University(Natural Sciences)
