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Article Dans Une Revue Chaos, Solitons & Fractals Année : 2017

Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices

Résumé

In this paper, we analyze the conditions leading to the nonlinear supratransmission phenomenon 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. Especially, we numerically quantify the influence of the nonlinear coupling coefficient on the threshold amplitude which triggers the nonlinear supratransmission phenomenon. Our main result shows that, in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the nonlinear supratransmission phenomenon decreases.
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hal-01519284 , version 1 (06-05-2017)

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Roland Alima, Saverio Morfu, Patrick Marquié, Bertrand Bodo, Bernard Essimbi. Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices. Chaos, Solitons & Fractals, 2017, 100, pp.91-99. ⟨10.1016/j.chaos.2017.05.009⟩. ⟨hal-01519284⟩
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