Chapter 3: Pendulum with a Random Mass

The linear harmonic oscillator is the simplest toy model used to describe different phenomena in mechanics, optics, acoustic, electronics, engineering, etc. [123]. In this model, the net force, −kx, is proportional to the displacement x of the mass m from its equilibrium position x = 0 and directed in the opposite direction. An external periodic field A cos(Ωt) may operate on an oscillator in two different ways. First, the periodic field may act as an external force …