Titre :

Pinning-depinning transition of fronts between standing waves

Auteur(s) :

Clerc, Marcel G. [Auteur]
Fernández-Oto, Cristian [Auteur]
Coulibaly, Saliya [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Titre de la revue :

Physical Review E : Statistical, Nonlinear, and Soft Matter Physics

Pagination :

12901

Éditeur :

American Physical Society

Date de publication :

2013-01

ISSN :

1539-3755

Mot(s)-clé(s) en anglais :

Nonlinear dynamics and chaos
Nonlinearity bifurcation and symmetry breaking
Pattern selection
pattern formation

Discipline(s) HAL :

Physique [physics]/Physique [physics]/Physique Générale [physics.gen-ph]

Résumé en anglais : [en]

Dynamic behaviors of fronts connecting standing waves, such as the locking phenomenon, pinning-depinning transitions, propagation, and front interactions, are studied. Two systems are considered, a vertically driven pendulum ...
Lire la suite >Dynamic behaviors of fronts connecting standing waves, such as the locking phenomenon, pinning-depinning transitions, propagation, and front interactions, are studied. Two systems are considered, a vertically driven pendulum chain and a generalized ϕ4 model. Both models exhibit in an appropriate region of parameters bistability between standing waves. In the driven pendulum chain, using a Galerkin expansion we characterize the region of bistability between subharmonic waves for the upright and the upside-down pendulum states. We derive analytically the front dynamics in the generalized ϕ4 model, showing regions where fronts are oscillatory or propagative. We also characterize the mechanism of the pinning-depinning transition of fronts between standing waves. Using front interactions we predict the emergence of dissipative localized waves supported on a standing wave and characterize their corresponding homoclinic snaking bifurcation diagrams. All these analytical predictions are confirmed by numerical simulations with quite good agreement.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL