看板 Math 關於我們 聯絡資訊
Find the Hamiltonian description for the vibrations of the nonlinear mass-spring system: mx" + ax + kx^3 = 0 -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 1.171.17.83 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1440524490.A.44F.html
sunev : F = mx" = -ax-kx^3 = -V' V = ax^2/2+kx^3/3 08/26 04:47
sunev : H = T+V = p^2/2m + ax^2/2 + kx^3/3 08/26 04:47
sunev : dH/dp = x' dH/dx = -p' 08/26 04:48