Advanced-delay differential equation for aeroelastic oscillations in physiology

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Autor(es): dc.creatorLucero, Jorge Carlos-
Data de aceite: dc.date.accessioned2024-10-23T16:17:36Z-
Data de disponibilização: dc.date.available2024-10-23T16:17:36Z-
Data de envio: dc.date.issued2013-03-05-
Data de envio: dc.date.issued2013-03-05-
Data de envio: dc.date.issued2008-
Fonte completa do material: dc.identifierhttp://repositorio.unb.br/handle/10482/12328-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/904662-
Descrição: dc.descriptionThis article analyzes a mathematical model for some aeroelastic oscillators in physiology, based on a previous representation for the vocal folds at phonation. The model characterizes the oscillation as superficial wave propagating through the tissues in the direction of the flow, and consists of a functional differential equation with advanced and delay arguments. The analysis shows that the oscillation occurs at a Hopf bifurcation, at which the energy absorbed from the flow overcomes the energy dissipated in the tissues. The bifurcation value of the flow pressure increases linearly with the tissue damping and the oscillation frequency. Also, it is minimum when the phase delay of the superficial wave to travel along the tissues is π, and increases indefinitely when the delay tends to 0 and to 2π.-
Formato: dc.formatapplication/pdf-
Publicador: dc.publisherWorld Scientific Publishing Company-
Direitos: dc.rightsAcesso Aberto-
Direitos: dc.rights© World Scientific Publishing Company. All of World Scientific and Imperial College Press journals have the option of Open Access in accordance with the Creative Commons Attribution (CC-BY) or (CC-BY-NC) licenses. With the support of the open access Article-Processing Charge (APC), authors can have their papers freely available online.[…].Authors retain copyright with the Creative Commons Attribution (CC-BY) license.WorldScientific.com full text searches with content/citation alerts."Most viewed" and "People also read" features. Fonte: http://www.worldscientific.com/page/authors/openaccess. Acesso em: 05 mar. 2013.-
Palavras-chave: dc.subjectCordas vocais-
Palavras-chave: dc.subjectOndas sonoras-
Palavras-chave: dc.subjectModelos matemáticos-
Título: dc.titleAdvanced-delay differential equation for aeroelastic oscillations in physiology-
Tipo de arquivo: dc.typelivro digital-
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