Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1672
Title: Hopf bifurcation analysis of coupled two-neuron system with discrete and distributed delays
Authors: Karaoğlu, Esra
Yılmaz, Enes
Merdan, Hüseyin
125872
Keywords: Hopf bifurcation
Stability
Neural network
Delay
Periodic solution
Issue Date: Jul-2016
Publisher: Springer
Source: Karaoğlu, E., Yılmaz, E., & Merdan, H. (2016). Hopf bifurcation analysis of coupled two-neuron system with discrete and distributed delays. Nonlinear Dynamics, 85(2), 1039-1051.
Abstract: We study the stability and Hopf bifurcation analysis of a coupled two-neuron system involving both discrete and distributed delays. First, we analyze stability of equilibrium point. Choosing delay term as a bifurcation parameter, we also show that Hopf bifurcation occurs under some conditions when the bifurcation parameter passes through a critical value. Moreover, some properties of the bifurcating periodic solutions are determined by using the center manifold theorem and the normal form theory. Finally, numerical examples are provided to support our theoretical results.
URI: https://doi.org/10.1007/s11071-016-2742-0
https://hdl.handle.net/20.500.11851/1672
ISSN: 0924-090X
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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