Existence and Upper Semicontinuity of Global Attractors for Neural Network in a Bounded Domain-Reference-Cited by-同舟云学术

Existence and Upper Semicontinuity of Global Attractors for Neural Network in a Bounded Domain

Published:2011-01 Issue:1-2 Volume:19 Page:87-96
ISSN:0971-3514
Container-title:Differential Equations and Dynamical Systems
language:en
Short-container-title:Differ Equ Dyn Syst

Author:

da Silva Severino Horácio

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s12591-010-0072-0.pdf

Reference21 articles.

1. Amari S.: Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern. 27, 77–87 (1977)

2. Barros S.R.M., Pereira A.L., Possani C., Simonis A.: Spatial periodic equilibria for a non local evolution equation. Discrete Continuous Dyn. Syst. 9(4), 937–948 (2003)

3. Brezis H.: Analisis funcional teoria y aplicaciones. Alianza, Madrid (1984)

4. Chen F.: Travelling waves for a neural network. Electron. J. Differ. Equ. 2003(13), 1–14 (2003)

5. Daleckii J.L., Krein M.G.: Stability of Solutions of Differential Equations in Banch Space. American Mathematical Society Providence, Rhode Island (1974)

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Mathematical Model of the Visual MacKay Effect;SIAM Journal on Applied Dynamical Systems;2024-08-01

2. Global Attractor and Non-trivial Equilibrium Solution for Neural Fields with External Stimuli;Differential Equations and Dynamical Systems;2024-03-22

3. Asymptotic behavior for a non-autonomous model of neural fields with variable external stimuli;Electronic Journal of Differential Equations;2020-07-09

4. Dissipative property for non local evolution equations;Bulletin of the Belgian Mathematical Society - Simon Stevin;2019-03-01

5. A gradient flow generated by a nonlocal model of a neutral field in an unbounded domain;Topological Methods in Nonlinear Analysis;2018-05-23