Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms

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dc.contributor.authorYildirim, Ahmet
dc.contributor.authorSaadatnia, Z.
dc.contributor.authorAskari, H.
dc.date.accessioned2019-10-27T21:24:02Z
dc.date.available2019-10-27T21:24:02Z
dc.date.issued2011
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper, Hamiltonian Approach (HA) is applied to obtain the analytical approximate solution of the nonlinear oscillators with Rational and Irrational Elastic Terms. Periodic solutions are analytically verified and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. A comparison of the period of oscillation and obtained solutions with the exact results illustrates that the Hamiltonian approach is very effective and quite accurate for nonlinear equations. (C) 2011 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.mcm.2011.03.012
dc.identifier.endpage703en_US
dc.identifier.issn0895-7177
dc.identifier.issn1872-9479
dc.identifier.issn0895-7177en_US
dc.identifier.issn1872-9479en_US
dc.identifier.issue01.Feben_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage697en_US
dc.identifier.urihttps://doi.org/10.1016/j.mcm.2011.03.012
dc.identifier.urihttps://hdl.handle.net/11454/44311
dc.identifier.volume54en_US
dc.identifier.wosWOS:000290014600064en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofMathematical and Computer Modellingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHamiltonian approachen_US
dc.subjectNonlinear oscillatorsen_US
dc.subjectRational and irrational elastic termsen_US
dc.titleApplication of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic termsen_US
dc.typeArticleen_US

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