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Delays in activity-based neural networks [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009 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 interacting excitatory and inhibitory neuronal populations.
Coombes, Stephen, Laing, Carlo
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Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Neural Networks With Time-Delay
IEEE Access, 2019 Integer-order complex-valued neural networks (CVNNs) have drawn much attention, and which have already been well discussed. Fractional complex-valued neural networks (FCVNNs) are more suitable for describing the dynamical properties of neural networks ...
Xiaohong Wang +4 more
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Convergence analysis on inertial proportional delayed neural networks
Advances in Difference Equations, 2020 This article mainly explores a class of inertial proportional delayed neural networks. Abstaining reduced order strategy, a novel approach involving differential inequality technique and Lyapunov function fashion is presented to open out that all ...
Hong Zhang, Chaofan Qian
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Fractal and Fractional, 2022 In this current study, we formulate a kind of new fractional BAM neural network model concerning five neurons and time delays. First, we explore the existence and uniqueness of the solution of the formulated fractional delay BAM neural network models via
Peiluan Li +3 more
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Lag synchronization of coupled time-delayed FitzHugh–Nagumo neural networks via feedback control
Scientific Reports, 2021 Synchronization plays a significant role in information transfer and decision-making by neurons and brain neural networks. The development of control strategies for synchronizing a network of chaotic neurons with time delays, different direction ...
Malik Muhammad Ibrahim +4 more
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Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays
IEEE Access, 2019 Over the past several decades, numerous scholars have studied the stability and Hopf bifurcation problem of integer-order delayed neural networks. However, the fruits about the stability and Hopf bifurcation for fractional-order delayed neural networks ...
Changjin Xu +3 more
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Finite-/fixed-time synchronization of delayed Clifford-valued recurrent neural networks
Advances in Difference Equations, 2021 This paper investigates the problem of finite-/fixed-time synchronization for Clifford-valued recurrent neural networks with time-varying delays. The considered Clifford-valued drive and response system models are firstly decomposed into real-valued ...
N. Boonsatit +4 more
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Tutorial: Photonic neural networks in delay systems [PDF]
Journal of Applied Physics, 2018 Photonic delay systems have revolutionized the hardware implementation of Recurrent Neural Networks and Reservoir Computing in particular. The fundamental principles of Reservoir Computing strongly facilitate a realization in such complex analog systems.
D. Brunner +5 more
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A Novel Condition for Robust Stability of Delayed Neural Networks
, 2021 This paper presents a novel sufficient condition for the existence, uniqueness and global robust asymptotic stability of the equilibrium point for the class of delayed neural networks by using the Homomorphic mapping and the Lyapunov stability theorems ...
Yucel, Eylem, Arik, Sabri, Ozcan, Neyir
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Complexity, 2021 This work principally considers the stability issue and the emergence of Hopf bifurcation for a class of fractional-order BAM neural network models concerning time delays.
Nengfa Wang, Changjin Xu, Zixin Liu
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