Mass and Length Dependent Chaotic Behavior of a Double Pendulum

In this article, chaotic behavior of a double pendulum (DP) is studied numerically by varying its mass and length. The results are analyzed using time series plot, Poincare map and Lyapunov exponent plot. It is observed that the chaotic tendency of the DP increases with mass and length. However, both pendulums of the DP have varying effect on the Lyapunov exponent. The significance of the present study in the optimization and control of the dynamical systems based on the DP is also discussed.