Hopf-Zero Bifurcation in Three-Cell Networks with Two Discrete Time Delays

Autor: Zohreh Dadi, Zahra Yazdani
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics Interdisciplinary Research, Vol 6, Iss 3, Pp 195-214 (2021)
Druh dokumentu: article
ISSN: 2476-4965
DOI: 10.22052/mir.2021.190015.1149
Popis: In this paper, we study a delayed three-cell network which is introduced by coupled cell theory and neural network theory. We investigate this model with two different discrete delays. The aim is to obtain necessary conditions for the stability and the existence of Hopf-zero bifurcation in this model. Moreover, we find the normal form of this bifurcation by using linearization and the Multiple Time Scale method. Finally, the theoretical results are verified by numerical simulations.
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