GLOBAL EXPONENTIAL STABILITY AND PERIODIC OSCILLATIONS OF REACTION–DIFFUSION BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS AND GENERAL DELAYS

DOI10.1142/S0218127407017215zbMath1116.35303MaRDI QIDQ5297289

Jian-Hua Sun, Qinghua Zhou, Guan-Rong Chen

Publication date: 18 July 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionalPoincaré mappingbidirectional neural network

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20) Partial functional-differential equations (35R10)

Related Items (12)

Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays ⋮ Anti-periodic solutions for BAM neural networks with time delays ⋮ GLOBAL EXPONENTIAL STABILITY FOR A CLASS OF IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION ⋮ Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms ⋮ Exponential stability of stochastic delayed Hopfield neural networks ⋮ A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS ⋮ Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: an LMI approach ⋮ GLOBAL EXPONENTIAL STABILITY OF HIGH-ORDER BAM NEURAL NETWORKS WITH REACTION–DIFFUSION TERMS ⋮ Global exponential stability of BAM neural networks with distributed delays and impulses ⋮ Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays ⋮ Exponential stability of BAM neural networks with time-varying delays ⋮ Exponential convergence of BAM neural networks with time-varying coefficients and distributed delays

Cites Work

• Unnamed Item
• Cooperative and supportive neural networks
• Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
• Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms
• Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach
• Exponential stability of delayed bi-directional associative memory networks
• Convergence analysis of hybrid bi-directional associative memory neural networks with discrete delays
• Novel stability criteria for bidirectional associative memory neural networks with time delays
• Dynamical Behaviors of a Large Class of General Delayed Neural Networks

This page was built for publication: GLOBAL EXPONENTIAL STABILITY AND PERIODIC OSCILLATIONS OF REACTION–DIFFUSION BAM NEURAL NETWORKS WITH PERIODIC COEFFICIENTS AND GENERAL DELAYS