Asymptotic behaviour of a neural field lattice model with delays

DOI10.3934/era.2020056zbMath1447.34068OpenAlexW3034281230MaRDI QIDQ779921

D. Kharzeev

Publication date: 14 July 2020

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020056

zbMATH Keywords

global attractorssigmoidal functionautonomous dynamical systemdelay dynamical systemneural lattice model

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Lattice functional-differential equations (34K31)

Related Items (6)

A two-dimensional stochastic fractional non-local diffusion lattice model with delays ⋮ Sigmoidal approximations of a delay neural lattice model with heaviside functions ⋮ Attractors of Hopfield-type lattice models with increasing neuronal input ⋮ Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise ⋮ Existence and asymptotic profiles of the steady state for a diffusive epidemic model with saturated incidence and spontaneous infection mechanism ⋮ Sigmoidal approximations of a nonautonomous neural network with infinite delay and heaviside function

Cites Work

• On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
• On the connectedness of attractors for dynamical systems
• Asymptotic behavior of non-autonomous lattice systems
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Attractors for first-order dissipative lattice dynamical systems
• Asymptotic behavior of a neural field lattice model with a heaviside operator
• Non-autonomous lattice systems with switching effects and delayed recovery
• Neural Fields
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

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