Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays

DOI10.1016/j.amc.2007.04.044zbMath1193.34158OpenAlexW2089218466MaRDI QIDQ990664

Ligeng Si, Lijuan Zhang

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.044

zbMATH Keywords

fixed point theoryexponential dichotomyalmost periodic solutionglobally exponential stabilityBAM neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (20)

Almost periodic solutions of single population model with hereditary effects ⋮ Almost periodic solutions for neutral-type BAM neural networks with delays on time scales ⋮ New results for global robust stability of bidirectional associative memory neural networks with multiple time delays ⋮ Global robust asymptotic stability of variable-time impulsive BAM neural networks ⋮ Global stability of almost periodic solution of a class of neutral-type BAM neural networks ⋮ Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays ⋮ Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms ⋮ Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays ⋮ Unnamed Item ⋮ Exponential stability of BAM fuzzy cellular neural networks with time-varying delays in leakage terms and impulses ⋮ Dynamics of almost periodic BAM neural networks with neutral delays ⋮ Dynamics of impulsive neutral-type BAM neural networks ⋮ Existence and exponential stability of an equilibrium point for fuzzy BAM neural networks with time-varying delays in leakage terms on time scales ⋮ Periodic solutions for a numerical discretization neural network ⋮ Existence and global exponential stability of pseudo almost periodic solutions of a general delayed BAM neural networks ⋮ Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays ⋮ A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays ⋮ Exponential stability of BAM neural networks with time-varying delays ⋮ Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis ⋮ Almost Periodic and Pseudo Almost Periodic Mild Solutions to a Partial Differential Equation VIA Fractional Operators

Cites Work

• Existence and global exponential stability of periodic solution to BAM neural networks with periodic coefficients and continuously distributed delays
• Almost periodic differential equations
• Existence and stability of almost periodic solution for BAM neural networks with delays.
• Global asymptotic stability of bi-directional associative memory networks with distributed delays
• Exponential stability of delayed bi-directional associative memory networks
• Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays
• An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays
• Discrete-time bidirectional associative memory neural networks with variable delays
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays