[微分方程] 線性化跟Hamiltonian

[adu (^_^)]

1.Consider the system in polar coordinates

r' = (r-r^3)/2
theta' = 1

Show that on the unit disk D = {r < 1} is conjugate to the linearised
system at the origin with domain R^2.



2.Show that:

x' = x+y^2
y' = -y

and

x'=x
y'=-y+4x^3

are Hamiltonian.



--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 46.223.210.173
※ 文章網址: http://www.ptt.cc/bbs/Math/M.1403735754.A.3EF.html
→ adu         :可以幫忙嗎?