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

Author

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  • Alima, R.
  • Morfu, S.
  • Marquié, P.
  • Bodo, B.
  • Essimbi, B.Z.

Abstract

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.

Suggested Citation

  • Alima, R. & Morfu, S. & Marquié, P. & Bodo, B. & Essimbi, B.Z., 2017. "Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 91-99.
    • Handle: RePEc:eee:chsofr:v:100:y:2017:i:c:p:91-99
    DOI: 10.1016/j.chaos.2017.05.009
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    References listed on IDEAS

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    1. R. Khomeriki & J. Léon & D. Chevriaux, 2006. "Quantum Hall bilayer digital amplifier," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 213-218, January.
    2. Kenmogne, Fabien & Ndombou, Guy Bertrand & Yemélé, David & Fomethe, Anaclet, 2015. "Nonlinear supratransmission in a discrete nonlinear electrical transmission line: Modulated gap peak solitons," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 263-271.
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    Cited by:

    1. Kamdoum Kuitche, A. & Togueu Motcheyo, A.B. & Kanaa, Thomas & Tchawoua, C., 2022. "Supratransmission in transversely connected nonlinear pendulum pairs," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Macías-Díaz, J.E., 2021. "Nonlinear wave transmission in harmonically driven hamiltonian sine-Gordon regimes with memory effects," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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    1. Macías-Díaz, J.E., 2021. "Nonlinear wave transmission in harmonically driven hamiltonian sine-Gordon regimes with memory effects," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Kamdoum Kuitche, A. & Togueu Motcheyo, A.B. & Kanaa, Thomas & Tchawoua, C., 2022. "Supratransmission in transversely connected nonlinear pendulum pairs," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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