Analytical treatment of the Hopf bifurcation in an extension of the Lü system
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| Nhiều tác giả: | , , |
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| Định dạng: | artículo original |
| Trạng thái: | Versión publicada |
| Ngày xuất bản: | 2018 |
| Miêu tả: | 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. |
| Quốc gia: | Portal de Revistas UCR |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Ngôn ngữ: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/32230 |
| Truy cập trực tuyến: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/32230 |
| Từ khóa: | Lorenz-type systems center manifold theorem Hopf bifurcation theorem sistema tipo Lorenz teorema de la variedad central teorema de la bifurcación de Hopf |