Fold-flip bifurcation analysis on a class of discrete-time neural network

X He, C Li, Y Shu - Neural Computing and Applications, 2013 - Springer
This paper reports fold-flip bifurcation on a class of discrete-time neural network. Sufficient
conditions are given to demonstrate fold-flip bifurcation. By performing linear and nonlinear …

[PDF][PDF] Study of fold bifurcation in a discrete recurrent neural network

R Marichal, JD Piñeiro, E González - Proceedings of the World …, 2009 - researchgate.net
A simple two-neuron model of discrete recurrent neural network is analyzed. The local
stability is analyzed with the associated characteristic model. In order to study the dynamic …

[引用][C] Nonlinear dynamics of a three-dimensional discrete-time delay neural network

PA Naik, Z Eskandari - International Journal of Biomathematics, 2024 - World Scientific
This paper examines a three-dimensional delayed discrete neural network model
analytically and numerically to determine the existence of different types of bifurcations of …

Bifurcations and complex dynamics of a two dimensional neural network model with delayed discrete time

J Hadadi, J Alidousti… - … Methods in the …, 2023 - Wiley Online Library
This paper focuses on the different bifurcations of fixed points of a delayed discrete neural
network model analytically and numerically. The conditions and critical values of different …

Bifurcation analysis for neural networks in neutral form

HB Chen, XK Sun - International Journal of Bifurcation and Chaos, 2016 - World Scientific
In this paper, a system of neural networks in neutral form with time delay is investigated.
Further, by introducing delay τ as a bifurcation parameter, it is found that Hopf bifurcation …

Bifurcation analysis in a three-neuron artificial neural network model with distributed delays

C Xu, Q Zhang, Y Wu - Neural Processing Letters, 2016 - Springer
In this paper, a three-neuron artificial neural network model with distributed delays is
considered. Its dynamics is investigated in term of the linear stability analysis and Hopf …

Multiple bifurcation analysis in a neural network model with delays

Y Yuan, J Wei - International Journal of Bifurcation and Chaos, 2006 - World Scientific
A synchronized neural network model with delays is considered. The bifurcations arising
from the zero root of the corresponding characteristic equation have been studied by …

Bifurcation in two-dimensional neural network model with delay

W Jun-jie, Z Chun-rui, L Xiu-ling - Applied Mathematics and Mechanics, 2005 - Springer
A kind of 2-dimensional neural network model with delay is considered. By analyzing the
distribution of the roots of the characteristic equation associated with the model, a bifurcation …

Stability and bifurcation analysis of a six-neuron BAM neural network model with discrete delays

C Xu, X Tang, M Liao - Neurocomputing, 2011 - Elsevier
In this paper, a six-neuron BAM neural network model with discrete delays is considered. By
analyzing the associated characteristic transcendental equation, the linear stability of the …

[PDF][PDF] Analysis of saddle-node bifurcation in a small discrete Hopfield neural network

R Marichal, JD Piñeiro, E González, J Torres - Int J Comput Sci, 2010 - iaeng.org
A simple two-neuron model of a discrete Hopfield neural network is considered. The local
stability is analyzed with the associated characteristic model. In order to study the dynamic …