A Perturbative Analysis of Nonlinear Cubic-Quintic Duffing Oscillators
| dc.contributor.author | Sayevand, Khosro | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fardi, Mojtaba | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:50:14Z | |
| dc.date.available | 2025-09-23T12:50:14Z | |
| dc.date.issued | 2014 | |
| 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.issn | 1454-9069 | |
| dc.identifier.scopus | 2-s2.0-84907189458 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15490 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | 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 | en_US |
| dc.title | A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 24465653900 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 54882498200 | |
| gdc.author.wosid | Fardi, Mojtaba/Aaz-4739-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Sayevand, Khosro] Malayer Univ, Fac Math Sci, Malayer, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Fardi, Mojtaba] Islamic Azad Univ, Najafabad Branch, Dept Math, Najafabad, Iran | en_US |
| gdc.description.endpage | 234 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 228 | en_US |
| gdc.description.volume | 15 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q4 | |
| gdc.identifier.wos | WOS:000341803400002 | |
| gdc.scopus.citedcount | 10 | |
| gdc.wos.citedcount | 9 | |
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