Preface


This section is about driven pendulum.

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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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