Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1673
Title: Stability and bifurcation analysis of two-neuron network with discrete and distributed delays
Authors: Karaoğlu, Esra
Yılmaz, Enes
Merdan, Hüseyin
125872
Keywords: Hopf bifurcation
Stability
Neural networks
Delay differential equations
Periodic solution
Issue Date: Mar-2016
Publisher: Elsevier B.V.
Source: Karaoğlu, E., Yılmaz, E., & Merdan, H. (2016). Stability and bifurcation analysis of two-neuron network with discrete and distributed delays. Neurocomputing, 182, 102-110.
Abstract: In this paper, we give a detailed Hopf bifurcation analysis of a recurrent neural network system involving both discrete and distributed delays. Choosing the sum of the discrete delay terms as a bifurcation parameter the existence of Hopf bifurcation is demonstrated. In particular, the formulae determining the direction of the bifurcations and the stability of the bifurcating periodic solutions are studied by using the normal form theory and center manifold theorem. Finally, numerical simulations supporting our theoretical results are also included. (C) 2015 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.neucom.2015.12.006
https://hdl.handle.net/20.500.11851/1673
ISSN: 0925-2312
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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