Analysis of Chaos in Double Pendulum

Abstract

In this paper, we present the analysis of chaotic vibrations in double pendulum by experimental means. We shall illustrate the sensitivity of its motion to initial conditions i.e., the angles of each pendulum from the vertical, θ and Φ at initial time t=0. Here we present the method of video processing as an experimental technique to study the motion of double pendulum in time domain. We have studied the dependence of the nature of motion of double pendulum broadly classified into chaotic and non-chaotic, on the initial conditions in which the angles θ and Φ acquire values in the full range of -180 to 180 degrees in various combinations. Also, we would be showing that the phenomenon of chaos does not only depend on the energy levels but there are other governing factors also. As for example, in double pendulum, it is the orientation of pendulums.