A gradient flow generated by a nonlocal model of a neural field in an unbounded domain
From MaRDI portal
Publication:1668829
DOI10.12775/TMNA.2018.004zbMath1395.45020arXiv1704.04938OpenAlexW2606839600MaRDI QIDQ1668829
Antonio Luiz Pereira, Severino Horácio da Silva
Publication date: 29 August 2018
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.04938
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and upper semicontinuity of global attractors for neural network in a bounded domain
- Asymptotic behavior of neural fields in an unbounded domain
- Geometric theory of semilinear parabolic equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Existence and stability of local excitations in homogeneous neural fields
- The link between integral equations and higher order ODEs.
- Identification of a free energy functional in an integro-differential equation model for neuronal network activity.
- Lower semicontinuity of global attractors for a class of evolution equations of neural fields type in a bounded domain
- Global attractor and nonhomogeneous equilibria for a nonlocal evolution equation in an unbounded domain
- Differential equation s in abstract spaces
- Multiple Bumps in a Neuronal Model of Working Memory
- Existence and uniqueness of travelling waves for a neural network
- Population Coding and Decoding in a Neural Field: A Computational Study
- Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation
- Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function
This page was built for publication: A gradient flow generated by a nonlocal model of a neural field in an unbounded domain
