Collective escape and supratransmission phenomena in a nonlinear oscillators chain

In this study, the collective escape and supratransmission phenomena along a nonlinear chain of coupled particles subjected to a cubic on-site potential are considered. It is shown that the minimum initial on-site amplitude for which there is a collective escape increases with the nonlinear coupling...

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Autores principales: Mekontchou Foudjio, Michael, Thomas Ndjomatchoua, Frank, Lawrence Gninzanlong, Carlos, Tchawoua, Clément
Formato: Journal Article
Lenguaje:Inglés
Publicado: American Institute of Physics 2020
Materias:
Acceso en línea:https://hdl.handle.net/10568/164384
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author Mekontchou Foudjio, Michael
Thomas Ndjomatchoua, Frank
Lawrence Gninzanlong, Carlos
Tchawoua, Clément
author_browse Lawrence Gninzanlong, Carlos
Mekontchou Foudjio, Michael
Tchawoua, Clément
Thomas Ndjomatchoua, Frank
author_facet Mekontchou Foudjio, Michael
Thomas Ndjomatchoua, Frank
Lawrence Gninzanlong, Carlos
Tchawoua, Clément
author_sort Mekontchou Foudjio, Michael
collection Repository of Agricultural Research Outputs (CGSpace)
description In this study, the collective escape and supratransmission phenomena along a nonlinear chain of coupled particles subjected to a cubic on-site potential are considered. It is shown that the minimum initial on-site amplitude for which there is a collective escape increases with the nonlinear coupling. When the chain is forced at one end by a periodical excitation, the system exhibits supratransmission phenomenon in both lower and upper forbidden bandgaps, and, subsequently, it appears that the driving amplitude threshold for supratransmission in the upper forbidden bandgap frequency decreases with the nonlinear coupling. Depending on the frequency range of the gap frequency, the collective escape and supratransmission can occur simultaneously; otherwise, the supratransmission prevails.
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spelling CGSpace1643842024-12-22T05:45:03Z Collective escape and supratransmission phenomena in a nonlinear oscillators chain Mekontchou Foudjio, Michael Thomas Ndjomatchoua, Frank Lawrence Gninzanlong, Carlos Tchawoua, Clément applied mathematics general physics and astronomy mathematical physics statistical and nonlinear physics In this study, the collective escape and supratransmission phenomena along a nonlinear chain of coupled particles subjected to a cubic on-site potential are considered. It is shown that the minimum initial on-site amplitude for which there is a collective escape increases with the nonlinear coupling. When the chain is forced at one end by a periodical excitation, the system exhibits supratransmission phenomenon in both lower and upper forbidden bandgaps, and, subsequently, it appears that the driving amplitude threshold for supratransmission in the upper forbidden bandgap frequency decreases with the nonlinear coupling. Depending on the frequency range of the gap frequency, the collective escape and supratransmission can occur simultaneously; otherwise, the supratransmission prevails. 2020-12-01 2024-12-19T12:53:50Z 2024-12-19T12:53:50Z Journal Article https://hdl.handle.net/10568/164384 en American Institute of Physics Mekontchou Foudjio, Michael; Thomas Ndjomatchoua, Frank; Lawrence Gninzanlong, Carlos and Tchawoua, Clément. 2020. Collective escape and supratransmission phenomena in a nonlinear oscillators chain. Chaos, Volume 30, no. 12; p. 123122
spellingShingle applied mathematics
general physics and astronomy
mathematical physics
statistical and nonlinear physics
Mekontchou Foudjio, Michael
Thomas Ndjomatchoua, Frank
Lawrence Gninzanlong, Carlos
Tchawoua, Clément
Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title_full Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title_fullStr Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title_full_unstemmed Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title_short Collective escape and supratransmission phenomena in a nonlinear oscillators chain
title_sort collective escape and supratransmission phenomena in a nonlinear oscillators chain
topic applied mathematics
general physics and astronomy
mathematical physics
statistical and nonlinear physics
url https://hdl.handle.net/10568/164384
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