Analytical treatment of the Hopf bifurcation in an extension of the Lü system
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| Авторы: | , , |
|---|---|
| Формат: | artículo original |
| Статус: | Versión publicada |
| Дата публикации: | 2018 |
| Описание: | 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. |
| Страна: | Portal de Revistas UCR |
| Институт: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Язык: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/32230 |
| Online-ссылка: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/32230 |
| Ключевое слово: | Lorenz-type systems center manifold theorem Hopf bifurcation theorem sistema tipo Lorenz teorema de la variedad central teorema de la bifurcación de Hopf |