[微積] anharmonic oscillator, linear system

看板Math作者 (くま)時間6年前 (2017/09/10 06:07), 編輯推噓0(003)
留言3則, 2人參與, 最新討論串1/1
My problem and my concerned issue are written in the following link: https://math.stackexchange.com/questions/2423108/anharmonic-oscillator-with-nonlinear-term-solution Question: How to solve d^2x/dt^2 + w_0^2*x + a*x^3=0 ,with the initial conditions: x(t_n)=x_n, and p(t_n)=p_n? The solution should be one of the Jacobi elliptic functions, or the combination of them. -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 73.128.51.244 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1504994851.A.6DC.html

09/10 17:03, , 1F
Try to do some scaling to get the standard ODE?
09/10 17:03, 1F

09/10 23:37, , 2F
你貼的連結裡面的連結不是都公式寫好好了嗎
09/10 23:37, 2F

09/11 00:07, , 3F
如果你的a是正的,試試看湊成cn的方程吧。
09/11 00:07, 3F
文章代碼(AID): #1Pj6OZRS (Math)