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In-band supratransmission in nonlinear flat band lattices

Author

Listed:
  • Kusdiantara, R.
  • Wijaya, M.
  • Adhari, M.F.
  • Susanto, H.

Abstract

Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natural band gap, nonlinear systems exhibit supratransmission, enabling energy transfer above a critical driving amplitude. This work investigates novel in-band supratransmissions for waves with frequencies in a flat or nearly flat linear band. Flat bands, characterized by zero group velocity and localized modes due to destructive interference, provide an ideal framework for studying wave confinement and energy dynamics. In-band supratransmission originates from a bifurcation of evanescent waves at the flat band frequency. Using nonlinear diamond and stub lattices as model systems, we explore how lattice topology, nonlinearity, and driving amplitude affect supratransmission. Through bifurcation analysis, stability evaluations, and time-dependent simulations, we examine the transition from energy localization to supratransmission.

Suggested Citation

  • Kusdiantara, R. & Wijaya, M. & Adhari, M.F. & Susanto, H., 2025. "In-band supratransmission in nonlinear flat band lattices," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011816
    DOI: 10.1016/j.chaos.2025.117168
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    References listed on IDEAS

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    1. Daniel Leykam & Joshua D. Bodyfelt & Anton S. Desyatnikov & Sergej Flach, 2017. "Localization of weakly disordered flat band states," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(1), pages 1-12, January.
    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).
    3. Tao, Feng & Chen, Weizhong & Pan, Junting & Xu, Wen & Du, Sidan, 2012. "Experimental observation on asymmetric energy flux within the forbidden frequency band in the LC transmission line," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 810-814.
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