José Abell's research blog

SNE # 0. Stochastic inverse pendulum

This is the first installment of “Small Numerical Experiments” (SNE), a section where I upload and comment (briefly) some small numerical example. The purpose is to prove a point to myself, test some code, ideas, etc.


In this first post I will explore the response of a stochastic inverse pendulum. What I mean in this case is an inverse pendulum (shown left) with a random initial condition. The purpose is to obtain the time-evolving probability density function (PDF) of the pendulum’s position. I will be doing Monte-Carlo simulations to obtain an approximation to this PDF.

The response of the …