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Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 78 (2008) 057202
Tristability in the Pendula Chain
R. Khomeriki1, Jerome Leon2

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.
1 :  Physics Department
2 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Science non linéaire/Formation de Structures et Solitons

Physique/Matière Condensée/Mécanique statistique

Science non linéaire/Systèmes Solubles et Intégrables

Physique/Physique/Physique Classique
nonlinear dynamical systems – numerical analysis – sine-Gordon equation – synchronisation
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