Hopf Bifurcations in Lengyel-Epstein Reaction-Diffusion Model With Discrete Time Delay
| dc.contributor.author | Merdan, H. | |
| dc.contributor.author | Kayan, S. | |
| dc.date.accessioned | 2017-04-18T11:12:25Z | |
| dc.date.accessioned | 2025-09-18T14:08:41Z | |
| dc.date.available | 2017-04-18T11:12:25Z | |
| dc.date.available | 2025-09-18T14:08:41Z | |
| dc.date.issued | 2015 | |
| dc.description | Merdan, Huseyin/0000-0003-2311-5348 | en_US |
| dc.description.abstract | We investigate bifurcations of the Lengyel-Epstein reaction-diffusion model involving time delay under the Neumann boundary conditions. Choosing the delay parameter as a bifurcation parameter, we show that Hopf bifurcation occurs. We also determine two properties of the Hopf bifurcation, namely direction and stability, by applying the normal form theory and the center manifold reduction for partial functional differential equations. | en_US |
| dc.identifier.citation | Merdan, H., Kayan, Ş. (2015). Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay. Nonlinear Dynamics, 79(3), 1757-1770. http://dx.doi.org/10.1007/s11071-014-1772-8 | en_US |
| dc.identifier.doi | 10.1007/s11071-014-1772-8 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84925534799 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-014-1772-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13176 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Nonlinear Dynamics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Lengyel-Epstein Reaction-Diffusion Model | en_US |
| dc.subject | Hopf Bifurcation | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Time Delay | en_US |
| dc.subject | Periodic Solutions | en_US |
| dc.title | Hopf Bifurcations in Lengyel-Epstein Reaction-Diffusion Model With Discrete Time Delay | en_US |
| dc.title | Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Merdan, Huseyin/0000-0003-2311-5348 | |
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| gdc.author.wosid | Bilazeroğlu, Şeyma/Aaw-4918-2021 | |
| gdc.author.wosid | Merdan, Huseyin/V-3852-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Merdan, H.; Kayan, S.] TOBB Univ Econ & Technol, Fac Sci & Letters, Dept Math, TR-06560 Ankara, Turkey; [Kayan, S.] Cankaya Univ, Fac Sci & Letters, Dept Math & Comp Sci, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 1770 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1757 | en_US |
| gdc.description.volume | 79 | en_US |
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| gdc.oaire.keywords | Periodic solutions | |
| gdc.oaire.keywords | Hopf bifurcation | |
| gdc.oaire.keywords | Stability | |
| gdc.oaire.keywords | Time delay | |
| gdc.oaire.keywords | Lengyel-Epstein reaction-diffusion model | |
| gdc.oaire.keywords | Bifurcations in context of PDEs | |
| gdc.oaire.keywords | Bifurcations of singular points in dynamical systems | |
| gdc.oaire.keywords | Partial functional-differential equations | |
| gdc.oaire.keywords | periodic solutions | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | time delay | |
| gdc.oaire.keywords | Reaction-diffusion equations | |
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