Tristability in the Pendula Chain

Abstract : 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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Soumis le : vendredi 24 octobre 2008 - 12:35:56
Dernière modification le : jeudi 11 janvier 2018 - 06:12:54

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R. Khomeriki, Jerome Leon. Tristability in the Pendula Chain. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 78, pp.057202. 〈10.1103/PhysRevE.78.057202〉. 〈hal-00333881〉



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