Simulation of the Dynamics of a Plane Pendulum with Positional Dependent Torque

We investigate the dynamics of a plane pendulum with positional dependent driving torque as would be produced by a horizontally directed force exerted on the pendulum bob. We compare and contrast this with the well known dynamics of a standard plane pendulum. In particular we compare the bifurcation diagrams of the two systems and look at the effects of the driving amplitude.