Analytical treatment of the Hopf bifurcation in an extension of the Lü system

 

Guardado en:
Sonraí Bibleagrafaíochta
Autores: Calderón-Saavedra, Pablo Emilio, Muñoz-Aguirre, Evodio, Alvarez-Mena, Jorge
Formáid: artículo original
Stádas:Versión publicada
Fecha de Publicación:2018
Cur Síos: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.
País:Portal de Revistas UCR
Institiúid:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Teanga:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/32230
Rochtain Ar Líne:https://revistas.ucr.ac.cr/index.php/matematica/article/view/32230
Palabra clave:Lorenz-type systems
center manifold theorem
Hopf bifurcation theorem
sistema tipo Lorenz
teorema de la variedad central
teorema de la bifurcación de Hopf