[PDF][PDF] Continuous-time additive Hopfield-type neural networks with impulses

H Akca, R Alassar, V Covachev… - Journal of …, 2004 - repository.adu.ac.ae
Continuous-time additive Hopfield-type neural networks with impulses Page 1 J. Math. Anal.
Appl. 290 (2004) 436–451 www.elsevier.com/locate/jmaa Continuous-time additive Hopfield-type …

Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays

B Wang, J Jian - Communications in Nonlinear Science and Numerical …, 2010 - Elsevier
In this paper, a four-neuron BAM neural network with distributed delays is considered, where
kernels are chosen as weak kernels. Its dynamics is studied in terms of local stability …

Bifurcation analysis on a two-neuron system with distributed delays

X Liao, KW Wong, Z Wu - Physica D: Nonlinear Phenomena, 2001 - Elsevier
A general two-neuron model with distributed delays is studied in this paper. Its local linear
stability is analyzed by using the Routh–Hurwitz criterion. If the mean delay is used as a …

Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses

Y Li, L Lu - Physics Letters A, 2004 - Elsevier
We use the continuation theorem of coincidence degree theory and Lyapunov functions to
study the existence and global exponential stability of periodic solution for Hopfield-type …

Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain

X Liao, S Li, G Chen - Neural Networks, 2004 - Elsevier
In this paper, a general two-neuron model with distributed delays and a strong kernel is
investigated. By applying the frequency domain approach and analyzing the associated …

Delay-dependent criterionfor asymptotic stability of a class of neutral equations

JH Park - Applied Mathematics Letters, 2004 - Elsevier
In this letter, a sufficient condition for all solutions of a class of neutral equationsto approach
zero at t→∞ is presented. The condition, which is expressed in terms of linear matrix …

Bifurcation and control in a neural network with small and large delays

M Xiao, WX Zheng, J Cao - Neural Networks, 2013 - Elsevier
This paper investigates a neural network modeled by a scalar delay differential equation.
The focus is placed upon the Hopf bifurcation generated by varying the interaction …

[HTML][HTML] Note on asymptotic stability of a class of neutral differential equations

YG Sun, L Wang - Applied mathematics letters, 2006 - Elsevier
In this work, a new sufficient condition for asymptotic stability of the neutral differential
equation of the form is established. The condition expressed in terms of a linear matrix …

Stability and bifurcation analysis in tri-neuron model with time delay

X Liao, S Guo, C Li - Nonlinear Dynamics, 2007 - Springer
A simple delayed neural network model with three neurons is considered. By constructing
suitable Lyapunov functions, we obtain sufficient delay-dependent criteria to ensure global …

[PDF][PDF] Nonoscillation, oscillation and convergence of a class of neutral equations

HA El-Morshedy, K Gopalsamy - Nonlinear Analysis: Theory …, 2000 - academia.edu
The main purpose of this article is to investigate the osillatory, nonoscillatory and asymptotic
behaviours of solutions of the neutral delay equation $ x (t)+ px (tz)]=-ax (t)+ btanhx (tr), t 2 …