Codimension one and two bifurcations in Cattaneo-Christov heat flux model
Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codi...
| Váldodahkkit: | , , , |
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| Materiálatiipa: | Journal article |
| Giella: | English |
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American Institute of Mathematical Sciences
2020
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| _version_ | 1826302638333886464 |
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| author | Wei, Z Zhang, W Moroz, I Kuznetsov, NV |
| author_facet | Wei, Z Zhang, W Moroz, I Kuznetsov, NV |
| author_sort | Wei, Z |
| collection | OXFORD |
| description | Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codimension-one Hopf bifurcation and codimension-two double-zero Bogdanov-Takens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bifurcation for the Layek and Pati's model. |
| first_indexed | 2024-03-07T05:50:37Z |
| format | Journal article |
| id | oxford-uuid:e8c0ca2e-e9ad-4899-b439-f1e85cf92043 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:50:37Z |
| publishDate | 2020 |
| publisher | American Institute of Mathematical Sciences |
| record_format | dspace |
| spelling | oxford-uuid:e8c0ca2e-e9ad-4899-b439-f1e85cf920432022-03-27T10:49:08ZCodimension one and two bifurcations in Cattaneo-Christov heat flux modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e8c0ca2e-e9ad-4899-b439-f1e85cf92043EnglishSymplectic ElementsAmerican Institute of Mathematical Sciences2020Wei, ZZhang, WMoroz, IKuznetsov, NVLayek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codimension-one Hopf bifurcation and codimension-two double-zero Bogdanov-Takens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bifurcation for the Layek and Pati's model. |
| spellingShingle | Wei, Z Zhang, W Moroz, I Kuznetsov, NV Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title | Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title_full | Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title_fullStr | Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title_full_unstemmed | Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title_short | Codimension one and two bifurcations in Cattaneo-Christov heat flux model |
| title_sort | codimension one and two bifurcations in cattaneo christov heat flux model |
| work_keys_str_mv | AT weiz codimensiononeandtwobifurcationsincattaneochristovheatfluxmodel AT zhangw codimensiononeandtwobifurcationsincattaneochristovheatfluxmodel AT morozi codimensiononeandtwobifurcationsincattaneochristovheatfluxmodel AT kuznetsovnv codimensiononeandtwobifurcationsincattaneochristovheatfluxmodel |