In-band supratransmission in nonlinear flat band lattices

R. Kusdiantara, M. Wijaya, M.F. Adhari and H. Susanto

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

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.

Keywords: Supratransmission; Flat bands; Nonlinear lattices; Energy localization; Wave propagation (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925011816
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011816

DOI: 10.1016/j.chaos.2025.117168

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().