WOLFRAM|DEMONSTRATIONS PROJECT

Chaos in a Rotating Pendulum

​
view
3D
phase space
t
18.4
ω
1.01
r
0.42
l
1.45
θ
0
-1.9
θ
p
2.64
μ
0.07
f
0.89
A pendulum of mass
m
and length
l
is attached to a rod of length
r
, with constant angular velocity
ω
around the
z
axis, with a damping coefficient
μ
and a driving force amplitude
f
. The initial angle between the axis and the pendulum is
θ
0
with velocity
θ
p
. Plots of the system and its corresponding phase space are shown.