Exact and approximate solutions for the anti-symmetric quadratic truly nonlinear oscillator
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Campo DC | Valor | Idioma |
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dc.contributor | Holografía y Procesado Óptico | es |
dc.contributor.author | Beléndez, Augusto | - |
dc.contributor.author | Arribas Garde, Enrique | - |
dc.contributor.author | Pascual, Carolina | - |
dc.contributor.author | Beléndez, Tarsicio | - |
dc.contributor.author | Alvarez, Mariela L. | - |
dc.contributor.author | Hernández Prados, Antonio | - |
dc.contributor.other | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | es |
dc.contributor.other | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías | es |
dc.contributor.other | Universidad de Castilla-La Mancha. Departamento de Física Aplicada | es |
dc.date.accessioned | 2014-09-03T07:10:32Z | - |
dc.date.available | 2014-09-03T07:10:32Z | - |
dc.date.created | 2014-04-14 | - |
dc.date.issued | 2014-09-03 | - |
dc.identifier.citation | Applied Mathematics and Computation. 2014, 246: 355-364. doi:10.1016/j.amc.2014.08.005 | es |
dc.identifier.issn | 0096-3003 (Print) | - |
dc.identifier.issn | 1873-5649 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/39980 | - |
dc.description.abstract | The exact solution of the anti-symmetric quadratic truly nonlinear oscillator is derived from the first integral of the nonlinear differential equation which governs the behavior of this oscillator. This exact solution is expressed as a piecewise function including Jacobi elliptic cosine functions. The Fourier series expansion of the exact solution is also analyzed and its coefficients are computed numerically. We also show that these Fourier coefficients decrease rapidly and, consequently, using just a few of them provides an accurate analytical representation of the exact periodic solution. Some approximate solutions containing only two harmonics as well as a rational harmonic representation are obtained and compared with the exact solution. | es |
dc.description.sponsorship | This work was supported by the “Generalitat Valenciana” of Spain (projects PROMETEO/2011/021 and ISIC/2012/013), and by the “Vicerrectorado de Tecnologías de la Información” of the University of Alicante, Spain (project GITE-09006-UA). | es |
dc.language | eng | es |
dc.publisher | Elsevier | es |
dc.subject | Nonlinear oscillators | es |
dc.subject | Conservative systems | es |
dc.subject | Truly oscillators | es |
dc.subject | Fourier series expansion | es |
dc.subject | Approximate solutions | es |
dc.subject | Symbolic computation | es |
dc.subject.other | Matemática Aplicada | es |
dc.subject.other | Física Aplicada | es |
dc.title | Exact and approximate solutions for the anti-symmetric quadratic truly nonlinear oscillator | es |
dc.type | info:eu-repo/semantics/article | es |
dc.peerreviewed | si | es |
dc.identifier.doi | 10.1016/j.amc.2014.08.005 | - |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.amc.2014.08.005 | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
Aparece en las colecciones: | INV - GHPO - Artículos de Revistas INV - GMECA - Artículos de Revistas |
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AMC_v246_p355_2014.pdf | Versión final (acceso restringido) | 617,12 kB | Adobe PDF | Abrir Solicitar una copia |
AMC_v246_p355_2014pre.pdf | Versión revisada (acceso abierto) | 2,12 MB | Adobe PDF | Abrir Vista previa |
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