Asymptotic representations of the period for the nonlinear oscillator

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Title: Asymptotic representations of the period for the nonlinear oscillator
Authors: Beléndez, Augusto | Hernández Prados, Antonio | Beléndez, Tarsicio | Neipp, Cristian | Márquez, Andrés
Research Group/s: Holografía y Procesado Óptico
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal
Keywords: Nonlinear orcillator | Approximate period | Asymptotic behaviour
Knowledge Area: Física Aplicada
Date Created: 2007
Issue Date: 9-Jan-2007
Publisher: Elsevier
Citation: BELÉNDEZ VÁZQUEZ, Augusto, et al. "Asymptotic representations of the period for the nonlinear oscillator". Journal of Sound and Vibration. Vol. 299, Issues 1-2 (9 Jan. 2007). ISSN 0022-460X, pp. 403-408
Abstract: The asymptotic behaviours for small and large amplitudes, A, of the period for a nonlinear oscillator, where the square of the angular frequency depends quadratically on the velocity, are obtained. These asymptotic expressions are compared with the exact period, T(A), and quite an acceptable error for a wide range of amplitudes is obtained. In addition we show that the product of the amplitude and the period, AT(A), reaches 2π when the amplitude tends to infinity.
Sponsor: This work was supported by the ‘‘Ministerio de Educación y Ciencia’’, Spain, under project FIS2005-05881-C02-02, and by the ‘‘Generalitat Valenciana’’, Spain, under project acomp006/007.
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2006.07.012
Language: eng
Type: info:eu-repo/semantics/article
Peer Review: si
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Appears in Collections:INV - GHPO - Artículos de Revistas

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