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## Glossary

# Driven Pendulum

A driven pendulum may exhibit a chaotic motion. It consists of a mass *m* fixed at a distance
\( \ell \) from a pivot which is subject to a vertical oscillation
\( y = A\, \cos \left( \omega \, t \right) . \) Let
θ be the angular coordinate of *m* measured counterclockwise from the down position, and
\( \phi = \pi - \theta \) the complementary displacement measured clockwise from the up orientation.
The kinetic and potential energies are

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