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Chaos in a Rotating Pendulum

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A pendulum of mass and length is attached to a rod of length , with constant angular velocity around the axis, with a damping coefficient and a driving force amplitude . The initial angle between the axis and the pendulum is with velocity . Plots of the system and its corresponding phase space are shown.

Contributed by: Enrique Zeleny (August 2011)
Open content licensed under CC BY-NC-SA

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The equation of motion is

,

where is the acceleration due to gravity.

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