Analytical treatment of the Hopf bifurcation in an extension of the Lü system
Αποθηκεύτηκε σε:
| Συγγραφείς: | , , |
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| Μορφή: | artículo original |
| Κατάσταση: | Versión publicada |
| Ημερομηνία έκδοσης: | 2018 |
| Περιγραφή: | In this paper, we analyze Hopf Bifurcation of the three-dimensional Lorenz-like system introduced by Xianyi Li and Qianjun Ou (2011), this analysis consists of identifying a parameter region, in which the nondegenerate and supercritical Hopf bifurcation occurs, situation that is not discussed by Xianyi Li and Qianjun Ou. To achieve this purpose, we use the Center Manifold Theorem and the Hopf Theorem. In addition, to illustrate the results, the graphics of some trayectories of the system are shown, which were obtained via numerical simulations. |
| Χώρα: | Portal de Revistas UCR |
| Ίδρυμα: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Γλώσσα: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/32230 |
| Διαθέσιμο Online: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/32230 |
| Λέξη-Κλειδί : | Lorenz-type systems center manifold theorem Hopf bifurcation theorem sistema tipo Lorenz teorema de la variedad central teorema de la bifurcación de Hopf |