Chaotic motion of a parametrically forced simple pendulum (Q1310034)

We describe the behavior of a simple pendulum with support in a steady and rather slow circular motion in a vertical plane. The governing equation is nonlinear, and its motion is about the direction of gravity. In the equation of motion, there are three parameters, which are related to the radius and angular velocity of the circular motion, the length of the pendulum and the damping constant. The paper draws the time series and Poincaré map and explores the feasibility of using the amplitude probability distribution by numerical method to diagnose whether the motion is chaotic. The effect of geometry and damping constant on the motion of the system is investigated.