Asymptotic behavior for a nonlocal model of neural fields
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Publication:2400179
DOI10.1007/s40863-015-0018-0zbMath1369.35103OpenAlexW2178554514WikidataQ121624140 ScholiaQ121624140MaRDI QIDQ2400179
Severino Horácio da Silva, Antonio Luiz Pereira
Publication date: 28 August 2017
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-015-0018-0
Attractors (35B41) Topological dynamics of nonautonomous systems (37B55) Integro-partial differential equations (35R09)
Cites Work
- Existence and upper semicontinuity of global attractors for neural network in a bounded domain
- Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equations with non local terms
- 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
- Identification of a free energy functional in an integro-differential equation model for neuronal network activity.
- A nonlocal diffusion equation whose solutions develop a free boundary
- Interface dynamics in planar neural field models
- 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
- Neurons with graded response have collective computational properties like those of two-state neurons.
- Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function
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