| dc.contributor.author | Aybar, Orhan Özgür | |
| dc.contributor.author | Fercec, Brigita | |
| dc.date.accessioned | 2021-06-05T19:56:51Z | |
| dc.date.available | 2021-06-05T19:56:51Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0973-1377 | |
| dc.identifier.issn | 0973-7545 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12960/383 | |
| dc.description | 0000-0001-8353-2106 | en_US |
| dc.description | 0000-0001-8353-2106 | en_US |
| dc.description | WOS:000438888700010 | en_US |
| dc.description.abstract | One of the well-known chaotic systems is the Lorenz system. The algebraic properties of the Lorenz system have been studied extensively since 1960s. In this study we investigate the algebraic invariants of an extended Lorenz system which stands as a normal form for some class of codim-3 bifurcations. We also give conditions on the parameters where a Hopf bifurcation can occur. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [113F383]; Slovenian Research Agency (ARRS)Slovenian Research Agency - Slovenia [BI - TR/14 - 16 - 001] | en_US |
| dc.description.sponsorship | The authors are grateful to the editor and reviewers for their helpful comments. The Turkish author acknowledges the support by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 113F383. The Slovenian author acknowledges the support by the Slovenian Research Agency (ARRS) under the project number BI - TR/14 - 16 - 001. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Centre Environment Social & Economic Research Publ-Ceser | en_US |
| dc.relation.ispartof | International Journal on Applied Mathematics & Statistics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Lorenz System | en_US |
| dc.subject | Algebraic İnvariant | en_US |
| dc.subject | Hopf Bifurcation | en_US |
| dc.subject | Elimination İdeal | en_US |
| dc.title | Invariant Analysis for an Extended Lorenz System | en_US |
| dc.type | article | en_US |
| dc.department | İktisadi ve İdari Bilimler Fakültesi, Yönetim Bilişim Sistemleri Bölümü | en_US |
| dc.department-temp | [Aybar, Orhan Ozgur] Piri Reis Univ, Grad Sch Sci & Engn, computat Sci & Engn, TR-34940 Istanbul, Turkey; [Aybar, Orhan Ozgur] Piri Reis Univ, Fac Econ & Adm Sci, Management Informat Syst, TR-34940 Istanbul, Turkey; [Aybar, Orhan Ozgur] Piri Reis Univ, ctr Informat Technol, TR-34940 Istanbul, Turkey; [Fercec, Brigita] Univ Maribor, Fac Energy Technol, Hocevarjev Trg 1, Krshko 8270, Slovenia; [Fercec, Brigita] Univ Maribor, ctr Appl Math & Theoret Phys, Mladinska 3, Maribor 2000, Slovenia | en_US |
| dc.contributor.institutionauthor | Aybar, Orhan Özgür | |
| dc.identifier.volume | 57 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 89 | en_US |
| dc.identifier.endpage | 95 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
