Numerical Investigation of Stochastic Neural Field Equations
From MaRDI portal
Publication:5114940
DOI10.1007/978-3-030-02487-1_2zbMath1444.92013arXiv1701.03917OpenAlexW2914881533MaRDI QIDQ5114940
Publication date: 29 June 2020
Published in: Advances in Mechanics and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03917
Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
Projection Methods for Neural Field Equations ⋮ Numerical solution of the stochastic neural field equation with applications to working memory ⋮ Numerical simulations of one- and two-dimensional stochastic neural field equations with delay ⋮ Numerical solution of the neural field equation in the presence of random disturbance ⋮ An accurate and efficient numerical method for neural field models with transmission delays
Cites Work
- Unnamed Item
- Some theoretical and numerical results for delayed neural field equations
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Stability of the stationary solutions of neural field equations with propagation delays
- On local bifurcations in neural field models with transmission delays
- Large deviations for nonlocal stochastic neural fields
- Multi-bump solutions in a neural field model with external inputs
- Wandering Bumps in Stochastic Neural Fields
- Multiple Bumps in a Neuronal Model of Working Memory
- Numerical Solution of the Neural Field Equation in the Two-Dimensional Case
- Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
- Numerical Simulation Scheme of One- and Two Dimensional Neural Fields Involving Space-Dependent Delays
- Neural Fields with Distributed Transmission Speeds and Long‐Range Feedback Delays
- Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network
