# Ring of Pendulums

Ring of Pendulums

Consider a large collection of coupled pendulums of the same length. Passing to the continuum limit, these can be solved by means of the sine-Gordon equation with periodic boundary conditions; the pendulums can be thought of as attached to a ring. The solutions as a function of time are shown with two initial peaks separated by a distance . Soliton-like behavior can be observed.

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