Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays

Y Song, M Han, J Wei - Physica D: Nonlinear Phenomena, 2005 - Elsevier
A delay-differential equation modelling a bidirectional associative memory (BAM) neural
network with three neurons is investigated. Its dynamics are studied in terms of local …

[BUCH][B] Introduction to neural dynamics and signal transmission delay

J Wu - 2011 - books.google.com
The series is devoted to the publication of high-level monographs which cover the whole
spectrum of current nonlinear analysis and applications in various fields, such as …

Stability and Hopf bifurcation in a simplified BAM neural network with two time delays

J Cao, M **ao - IEEE Transactions on Neural Networks, 2007 - ieeexplore.ieee.org
Various local periodic solutions may represent different classes of storage patterns or
memory patterns, and arise from the different equilibrium points of neural networks (NNs) by …

Dynamics of a two-neuron system with discrete and distributed delays

S Ruan, RS Filfil - Physica D: Nonlinear Phenomena, 2004 - Elsevier
In this paper we consider a two-neuron network model with multiple discrete and distributed
delays, where the distributed delays describe the neural feedback and the discrete delays …

Delays in activity-based neural networks

S Coombes, C Laing - Philosophical Transactions of the …, 2009 - royalsocietypublishing.org
In this paper, we study the effect of two distinct discrete delays on the dynamics of a Wilson–
Cowan neural network. This activity-based model describes the dynamics of synaptically …

Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system

SA Campbell, I Ncube, J Wu - Physica D: Nonlinear Phenomena, 2006 - Elsevier
We consider a network of three identical neurons with multiple discrete signal transmission
delays. The model for such a network is a system of nonlinear delay differential equations …

时滞系统动力学**期研究进展与展望

徐鉴, 裴利军 - 力学进展, 2006 - lxjz.cstam.org.cn
综述了1999 年以来时滞系统动力学在力学, 机械工程, 航空航天, 生态学, 生物学, 神经网络,
激光, 电子和信息技术, 保密通讯和经济学等领域的研究进展, 总结了其中的研究方法 …

Global existence of periodic solutions in a tri-neuron network model with delays

J Wei, MY Li - Physica D: Nonlinear Phenomena, 2004 - Elsevier
We consider a delayed differential system that models a network of three neurons with
memory. Using a global Hopf bifurcation theorem for FDE due to J. Wu and a Bendixson's …

Stability and Hopf Bifurcation Analysis of A Fractional-Order BAM Neural Network with Two Delays Under Hybrid Control

Y Ma, Y Lin, Y Dai - Neural Processing Letters, 2024 - Springer
In this paper, considering that fractional-order calculus can more accurately describe
memory and genetic properties, we introduce fractional integral operators into neural …

Stability and Hopf bifurcation analysis on a ring of four neurons with delays

H Hu, L Huang - Applied Mathematics and Computation, 2009 - Elsevier
We consider a four-neuron ring with self-feedback and delays. By analyzing the associated
characteristic equation, linear stability is investigated and Hopf bifurcations are …