@Article{JNMA-5-3,
author = {Liu, Hongpu and Wentao, Huang and Wang, Qinlong},
title = {Zero-Hopf Bifurcation at the Origin and Infinity for a Class of Generalized Lorenz System},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {621--636},
abstract = {<p style="text-align: justify;">In this paper, the zero-Hopf bifurcations are studied for a generalized Lorenz system. Firstly, by using the averaging theory and normal form
theory, we provide sufficient conditions for the existence of small amplitude
periodic solutions that bifurcate from zero-Hopf equilibria under appropriate
parameter perturbations. Secondly, based on the Poincaré compactification,
the dynamic behavior of the generalized Lorenz system at infinity is described,
and the zero-Hopf bifurcation at infinity is investigated. Additionally, for the
above theoretical results, some related illustrations are given by means of the
numerical simulation.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.621},
url = {https://global-sci.com/article/87891/zero-hopf-bifurcation-at-the-origin-and-infinity-for-a-class-of-generalized-lorenz-system}
}