Driven Damped Pendulum
dω/dt = -βω|ω| - α sin(ϑ) + A cos(ϑ) sin(2πt) - Cω/|ω|
dϑ/dt = ω
Driving amp A:
Friction β:
α:
C:
Ntransient:
Nplot:
A graph of ϑ(t) versus t
A graph of ω versus ϑ
A graph of ω(t=i) versus ϑ(t=i)
There are many different paths in parameter space to chaos. Some undergo period doubling.