Existence and properties of stationary solution of dynamical neural field

DOI10.1016/j.nonrwa.2011.03.016zbMath1219.35328OpenAlexW2035102263MaRDI QIDQ635232

Ji-Gen Peng, Dong Liang, De-quan Jin

Publication date: 19 August 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.03.016

zbMATH Keywords

dynamical systemstationary solutionneural field theoryAmari's modelneural ball-solution

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (2)

Investigation on Amari's dynamical neural field with global constant inhibition ⋮ Large deviations for nonlocal stochastic neural fields

Cites Work

• Unnamed Item
• Large-scale activity in neural nets. I: Theory with application to motoneuron pool responses
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Existence and stability of local excitations in homogeneous neural fields
• A mathematical theory of visual hallucination patterns
• Neural bubble dynamics in two dimensions: Foundations
• Circular stationary solutions in two-dimensional neural fields
• Dynamic Approximation of Spatiotemporal Receptive Fields in Nonlinear Neural Field Models
• Existence and properties of solutions for neural field equations
• PDE Methods for Nonlocal Models
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

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