[問題] 幾題非線性系統已回收
1. Plot by computer the state trajectories and the phase plane trajectory of
the following systems.
" 2 .
x + e(x -1)x + x = 0
. .
for (i) e = 1, (x,x) = (0.2, 0.1) (ii) e = -1, (x,x) = (0.2, 0.1)
2. Consider the Lorenz equation
.
x = ay - ax
.
y = rx - y - xz
.
z = xy - bz
for r=28, a=10, b=8/3.
Plot the state trajectory in 3-space, the trajectory projected in XY, YZ and
XZ spaces with initial condition (x,y,z) = (1,1,2).
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04/13 21:13, , 1F
04/13 21:13, 1F