Analyse du couplage non linéaire sur le comportement des modèles sine-Gordon et Klein-Gordon dans les bandes passante et interdite

Abstract : In this thesis, we analyze the conditions of existence of the phenomenon of nonlinear supratransmission in two different models: a modified fifth-order Klein-Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. In particular, we quantify numerically the influence of the non-linear coupling coefficient on the threshold amplitude which triggers the phenomenon of non-linear supratransmission. Our main result shows that in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the phenomenon of nonlinear supratransmission decreases.
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Marie Roland Joël Alima. Analyse du couplage non linéaire sur le comportement des modèles sine-Gordon et Klein-Gordon dans les bandes passante et interdite. Traitement du signal et de l'image [eess.SP]. Université Bourgogne Franche-Comté, 2017. Français. ⟨NNT : 2017UBFCK011⟩. ⟨tel-01780598⟩

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