Mean square stability and almost sure exponential stability of two step Maruyama methods of stochastic delay Hopfield neural networks

DOI10.1016/j.amc.2018.11.063zbMath1429.65021OpenAlexW2905092609WikidataQ115598153 ScholiaQ115598153MaRDI QIDQ2008809

A. Rathinasamy, J. Narayanasamy

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.11.063

zbMATH Keywords

almost sure exponential stabilityHopfield neural networksmean square stabilitystochastic delay differential equationstwo step Maruyama methods

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural networks for/in biological studies, artificial life and related topics (92B20) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (12)

Stability of traveling waves solutions for nonlinear cellular neural networks with distributed delays ⋮ Pullback attractor of Hopfield neural networks with multiple time-varying delays ⋮ Boundedness analysis of non-autonomous stochastic differential systems with Lévy noise and mixed delays ⋮ Exponential stability of stochastic Hopfield neural network with mixed multiple delays ⋮ Stability analysis of stochastic BAM neural networks with reaction-diffusion, multi-proportional and distributed delays ⋮ \(p\)th moment asymptotic interval stability and stabilization of linear stochastic systems via generalized \(\mathcal{H} \)-representation ⋮ Stability analysis of impulsive stochastic delayed Cohen-Grossberg neural networks driven by Lévy noise ⋮ The balanced split step theta approximations of stochastic neutral Hopfield neural networks with time delay and Poisson jumps ⋮ Unnamed Item ⋮ Periodic dynamics for nonlocal Hopfield neural networks with random initial data ⋮ On stability of neutral-type linear stochastic time-delay systems with three different delays ⋮ Strong convergence and almost sure exponential stability of balanced numerical approximations to stochastic delay Hopfield neural networks

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