Bifurcation diagram of the driven damped pendulum


The diagram shows the Poincare points of a driven damped pendulum described by the equation of motion
d2/dt2 + (1/q)d/dt + sin = gcos(Dt)
where q is the damping factor, g is the driving amplitude and D is the angular driving frequency.

In the plot above the parameters are q=2 and D=2/3.