Attractors of Hopfield-type lattice models with increasing neuronal input

DOI10.3934/dcdsb.2019268zbMath1432.34020OpenAlexW2990153163WikidataQ126790941 ScholiaQ126790941MaRDI QIDQ2284909

Yanyan Li

Publication date: 15 January 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019268

zbMATH Keywords

global attractorslattice dynamical systemsglobal neuronal interactionsHopfield neural modelupper semi-continuity of global attractors

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Attractors of solutions to ordinary differential equations (34D45) Ordinary lattice differential equations (34A33)

Related Items (7)

Random attractors for stochastic discrete complex Ginzburg–Landau equations with long-range interactions ⋮ Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise ⋮ Pullback attractor for a class of non-autonomous lattice differential equations with delays ⋮ Convergence and Approximation of Invariant Measures for Neural Field Lattice Models under Noise Perturbation ⋮ Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise ⋮ Wong-Zakai approximations of stochastic lattice systems driven by long-range interactions and multiplicative white noises ⋮ Attractors of deterministic and random lattice difference equations

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