@Article{JNMA-4-2,
author = {Zhong, Fengyuan and Zicheng, Xu and Ge, Bin},
title = {Hopf Bifurcation Analysis of a Class of Abstract Delay Differential Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {4},
number = {2},
pages = {277--290},
abstract = {<p style="text-align: justify;">The dynamics of a class of abstract delay differential equations
are investigated. We prove that a sequence of Hopf bifurcations occur at the
origin equilibrium as the delay increases. By using the theory of normal form
and centre manifold, the direction of Hopf bifurcations and the stability of the
bifurcating periodic solutions is derived. Then, the existence of the global Hopf
bifurcation of the system is discussed by applying the global Hopf bifurcation
theorem of general functional differential equation.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.277},
url = {https://global-sci.com/article/87922/hopf-bifurcation-analysis-of-a-class-of-abstract-delay-differential-equation}
}