On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation
| dc.authorid | Turan, Mehmet/0000-0002-1718-3902 | |
| dc.authorscopusid | 35782583700 | |
| dc.authorwosid | Turan, Mehmet/JYQ-4459-2024 | |
| dc.contributor.author | Turan, Mehmet | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:39:55Z | |
| dc.date.available | 2024-07-05T15:39:55Z | |
| dc.date.issued | 2020 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Turan, Mehmet] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description | Turan, Mehmet/0000-0002-1718-3902 | en_US |
| dc.description.abstract | This paper addresses the asymptotic approximations of the stable and unstable manifolds for the saddle fixed point and the 2-periodic solutions of the difference equationx(n+ 1)=alpha+beta x(n- 1)+x(n- 1)/x(n), where alpha> 0,0 <=beta<1$0\leqslant \beta and the initial conditionsx(- 1)andx(0)are positive numbers. These manifolds determine completely global dynamics of this equation. The theoretical results are supported by some numerical examples. | en_US |
| dc.identifier.citationcount | 1 | |
| dc.identifier.doi | 10.1007/s10883-019-09472-3 | |
| dc.identifier.endpage | 684 | en_US |
| dc.identifier.issn | 1079-2724 | |
| dc.identifier.issn | 1573-8698 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85077717907 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 673 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10883-019-09472-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3250 | |
| dc.identifier.volume | 26 | en_US |
| dc.identifier.wos | WOS:000557390300005 | |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Turan, Mehmet | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer/plenum Publishers | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.subject | Stable manifold | en_US |
| dc.subject | Unstable manifold | en_US |
| dc.subject | Center manifold | en_US |
| dc.subject | Normal form | en_US |
| dc.title | On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 1 | |
| dspace.entity.type | Publication | |
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