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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 …
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 …
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
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 …
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, where the distributed delays describe the neural feedback and the discrete delays …
Delays in activity-based neural networks
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 …
Cowan neural network. This activity-based model describes the dynamics of synaptically …
Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
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 …
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 …
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 …
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 …
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 …
characteristic equation, linear stability is investigated and Hopf bifurcations are …