Stability for delayed reaction-diffusion neural networks

DOI10.1016/j.physleta.2006.08.073zbMath1236.35085OpenAlexW2049044722MaRDI QIDQ942666

Duccio Papini, Walter Allegretto

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.08.073

zbMATH Keywords

periodic solutionsexponential stabilityreaction-diffusionHopfield neural networkstime-dependent delaysdiscontinuous activations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10)

Related Items (13)

The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations ⋮ Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms ⋮ A local meshless method based on the finite collocation and local integral equations method for delay PDEs ⋮ Dynamic analysis of reaction-diffusion Cohen-Grossberg neural networks with varying delay and robin boundary conditions ⋮ Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays ⋮ Boundary output feedback stabilization of state delayed reaction-diffusion PDEs ⋮ Stochastic exponential robust stability of interval neural networks with reaction-diffusion terms and mixed delays ⋮ Exponential synchronization for reaction-diffusion networks with mixed delays in terms of \(p\)-norm via intermittent driving ⋮ Synchronized stability in a reaction-diffusion neural network model ⋮ Periodic dynamics for nonlocal Hopfield neural networks with random initial data ⋮ \(W^{1,2}(\Omega)\)- and \(X^{1,2}(\Omega)\)-stability of reaction-diffusion cellular neural networks with delay ⋮ New results on finite-/fixed-time synchronization of delayed diffusive fuzzy HNNs with discontinuous activations ⋮ Stability analysis of Hopfield neural networks with unbounded delay driven by G-Brownian motion

Cites Work

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