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.