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| HAL : hal-00333881, version 1 |
| arXiv : 0810.3621 |
| DOI : 10.1103/PhysRevE.78.057202 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 78 (2008) 057202 |
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| Tristability in the Pendula Chain |
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| R. Khomeriki 1Jerome Leon 2 |
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| (12/11/2008) |
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| 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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| 1 : | Physics Department |
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Tbilisi State University |
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| 2 : | Laboratoire de Physique Théorique et Astroparticules (LPTA) |
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CNRS : UMR5207 – IN2P3 – Université Montpellier II - Sciences et techniques |
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| Domaine | : | Science non linéaire/Formation de Structures et Solitons Physique/Matière Condensée/Mécanique statistique Science non linéaire/Systèmes Solubles et Intégrables Physique/Physique/Physique Classique |
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| nonlinear dynamical systems – numerical analysis – sine-Gordon equation – synchronisation |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0810.3621 |
| hal-00333881, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00333881 | |
| oai:hal.archives-ouvertes.fr:hal-00333881 | |
| Contributeur : Logiciel Aigle | |
| Déposé pour le compte de : | |
| Soumis le : Vendredi 24 Octobre 2008, 12:35:56 | |
| Dernière modification le : Vendredi 14 Novembre 2008, 16:45:25 | |
