Influence of noise and delay on reaction-diffusion recurrent neural networks

DOI10.1007/s10496-006-0283-yzbMath1155.60326OpenAlexW2332161915MaRDI QIDQ5437690

Li Wu

Publication date: 28 January 2008

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-006-0283-y

zbMATH Keywords

reaction-diffusionwhite noisestochastic analysisvariable delay\(M\)-matrix propertiesmean value exponential stabilitymethod of variation parameter

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• A geometric approach to singular perturbation problems with applications to nerve impulse equations
• Convergence to the equilibrium state in the Volterra-Lotka diffusion equations
• Global stability in Lotka-Volterra systems with diffusion
• Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
• Asymptotic behavior of a class of reaction--diffusion equations with delays
• Global exponential stability of Hopfield neural networks with continuously distributed delays
• On exponential stability of delayed neural networks with a general class of activation functions
• Global exponential stability and periodic solutions of recurrent neural networks with delays
• Influence of noise on the function of a physiological neural network
• New results concerning exponential stability and periodic solutions of delayed cellular neural networks
• An analysis on the global asymptotic stability for neural networks with variable delays
• Delay-dependent exponential stability of neural networks with variable delays
• Stability in gilpin-ayala competition models with diffusion
• Matrix Analysis
• Cellular neural networks: theory
• Stability and dynamics of delay-type general and cellular neural networks
• Global Attractivity in Delayed Hopfield Neural Network Models
• The CNN paradigm
• Stability of cellular neural networks with dominant nonlinear and delay-type templates
• Global stability conditions for delayed CNNs
• Exponential stability and instability of stochastic neural networks¹
• On the global stability of delayed neural networks
• An improved global stability result for delayed cellular neural networks
• Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
• Global robust stability of delayed neural networks
• Local to global theorems in the theory of Hurewicz fibrations
• Stability of stochastic delay neural networks
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Influence of noise and delay on reaction-diffusion recurrent neural networks