A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators

Sayevand, Khosro; Baleanu, Dumitru; Fardi, Mojtaba

dc.contributor.author	Sayevand, Khosro
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Fardi, Mojtaba
dc.date.accessioned	2020-05-19T16:12:04Z
dc.date.available	2020-05-19T16:12:04Z
dc.date.issued	2014-07
dc.identifier.citation	Sayevand, Khosro; Baleanu, Dumitru; Fardi, Mojtaba, "A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, 15, No. 3, pp. 228-234, (2014).	tr_TR
dc.identifier.issn	1454-9069
dc.identifier.uri	http://hdl.handle.net/20.500.12416/3929
dc.description.abstract	Duffing oscillators comprise one of the canonical examples of Hamilton systems. The presence of a quintic term makes the cubic-quintic Duffing oscillator more complex and interesting to study. In this paper, the homotopy analysis method (HAM) is used to obtain the analytical solution for the nonlinear cubic-quintic Duffing oscillators. The HAM helps to obtain the frequency omega in the form of approximation series of a convergence control parameter (h) over bar. The valid region of (h) over bar is determined by plotting the omega - (h) over bar curve and afterwards we compared the obtained results with the exact solutions.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Editura Academiei Romane	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Homotopy Analysis Method	tr_TR
dc.subject	Homotopy-Pade Technique	tr_TR
dc.subject	Oscillator	tr_TR
dc.title	A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	15	tr_TR
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	228	tr_TR
dc.identifier.endpage	234	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR