• Citer

Localized structures and spatiotemporal chaos: comparison between the driven damped sine-Gordon and the Lugiato-Lefever model

par Caizergues-Ferrer, Michèle;Clerc, Marcel;Coulibally, Saliya;Rojas, René R.G.;Tlidi, Mustapha
Référence The European physical journal. D. Atomic, molecular and optical physics, 71, 6, 172
Publication Publié, 2017-06

Article révisé par les pairs

• Détails
• Contenu

Résumé :

Abstract: Driven damped coupled oscillators exhibit complex spatiotemporal dynamics. An archetype model is the driven damped sine-Gordon equation, which can describe several physical systems such as coupled pendula, extended Josephson junction, optical systems and driven magnetic wires. Close to resonance an enveloped model in the form Lugiato-Lefever equation can be derived from the driven damped sine-Gordon equation. We compare the dynamics obtained from both models. Unexpectedly, qualitatively similar dynamical behaviors are obtained for both models including homogeneous steady states, localized structures, and pattern waves. For large forcing, both systems share similar spatiotemporal chaos. Graphical abstract: [Figure not available: see fulltext.].