Damped Swing Pendulum

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This Demonstration solves the differential equation for a damped swing pendulum, .
Interestingly, starting from a vertical position with zero initial velocity, Mathematica starts the motion on its own (for a small-enough damping constant) because of numerical roundoff errors, somewhat similar to effects which occur in chaotic dynamics.
Contributed by: Balázs Kiss (Budapest University of Technology and Economics) (May 2009)
Additional contributions by: János Tóth, Attila Nagy
Open content licensed under CC BY-NC-SA
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"Damped Swing Pendulum"
http://demonstrations.wolfram.com/DampedSwingPendulum/
Wolfram Demonstrations Project
Published: May 1 2009