A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fardi, Mojtaba | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2020-05-19T16:12:04Z | |
| dc.date.available | 2020-05-19T16:12:04Z | |
| dc.date.issued | 2014 | |
| dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| 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. | en_US |
| dc.description.publishedMonth | 7 | |
| 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). | en_US |
| dc.identifier.endpage | 234 | en_US |
| dc.identifier.issn | 1454-9069 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 228 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/3929 | |
| dc.identifier.volume | 15 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Academiei Romane | en_US |
| dc.relation.ispartof | Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | Homotopy-Pade Technique | en_US |
| dc.subject | Oscillator | en_US |
| dc.title | A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators | tr_TR |
| dc.title | A Perturbative Analysis of Nonlinear Cubic-Quintic Duffing Oscillators | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 |
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