Tristability in the pendula chain

Details Tristability in the pendula chain Tristability in the pendula chain

2008-10-20

arxiv.org/abs/0810.3621v1

Nonlinear Sciences

Pattern Formation and Solitons

To appear in PRE

Scientific paper

10.1103/PhysRevE.78.057202

Experiments on a chain of coupled pendula driven periodically at one end demonstrate the existence of a novel regime which produces an output frequency at an odd fraction of the driving frequency. The new stationary state is then obtained on numerical simulations and modeled with an analytical solution of the continuous sine-Gordon equation that resembles a kink-like motion back and forth in the restricted geometry of the chain. This solution differs from the expressions used to understand nonlinear bistability where the synchronization constraint was the basic assumption. As a result the short pendula chain is shown to possess tristable stationary states and to act as a frequency divider.

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