Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physics Letters A Année : 2011

Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics

Résumé

We show that the dynamics of Fermi-Pasta-Ulam recurrence is associated with a nonlinear phase shift between initial and final states that are otherwise identical, after a full growth-return cycle. The properties of this phase shift are studied for the particular case of the self-focussing nonlinear Schrodinger equation, and we describe the magnitude of the phase shift in terms of the system parameters. This phase shift, accumulated during the nonlinear recurrence cycle, is a previously-unremarked feature of the Fermi-Pasta-Ulam problem, and we anticipate its wide significance as an essential feature of related dynamics in other systems.
Fichier principal
Vignette du fichier
Devine2011.pdf (366.31 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00655031 , version 1 (29-04-2021)

Licence

Paternité

Identifiants

Citer

N. Devine, A. Ankiewicz, G. Genty, J.M. Dudley, N. Akhmediev. Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics. Physics Letters A, 2011, 375 (46), pp.4158-4161. ⟨10.1016/j.physleta.2011.10.006⟩. ⟨hal-00655031⟩
125 Consultations
61 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More