Neural field models with threshold noise
From MaRDI portal
Publication:271685
DOI10.1186/s13408-016-0035-zzbMath1356.92021OpenAlexW2292266163WikidataQ38737259 ScholiaQ38737259MaRDI QIDQ271685
Rüdiger Thul, Carlo R. Laing, Stephen Coombes
Publication date: 7 April 2016
Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13408-016-0035-z
Related Items
Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed ⋮ Noise-driven bifurcations in a nonlinear Fokker-Planck system describing stochastic neural fields ⋮ Phase Reduction of Waves, Patterns, and Oscillations Subject to Spatially Extended Noise ⋮ The impact of alphabet size on pattern complexity of maxmin-\( \omega\) cellular automata ⋮ Numerical solution of the neural field equation in the presence of random disturbance ⋮ Stochastic rotating waves
Cites Work
- Waves in neural media. From single neurons to neural fields
- Waves in random neural media
- Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions
- Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Numerical simulation of stochastic PDEs for excitable media
- Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
- From invasion to extinction in heterogeneous neural fields
- Interface dynamics in planar neural field models
- Large deviations for nonlocal stochastic neural fields
- Stochastic neural field equations: a rigorous footing
- Waves, bumps, and patterns in neural field theories
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
- A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations
- Wandering Bumps in Stochastic Neural Fields
- Pulse Bifurcations in Stochastic Neural Fields
- Computing Stochastic Traveling Waves
- Front Propagation in Stochastic Neural Fields
- Front Propagation in Stochastic Neural Fields: A Rigorous Mathematical Framework
- Spatiotemporal dynamics of continuum neural fields
- Multiple Bumps in a Neuronal Model of Working Memory
- The effects of noise on binocular rivalry waves: a stochastic neural field model
- Spectral Methods for Uncertainty Quantification
- Riccati Matrix Difference Equations and Disconjugacy of Discrete Linear Systems
- Existence and uniqueness of travelling waves for a neural network
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
- PDE Methods for Two-Dimensional Neural Fields
- Stochastic Motion of Bumps in Planar Neural Fields
- Subdiffusive Dynamics of Bump Attractors: Mechanisms and Functional Roles
- Noise-Induced Behaviors in Neural Mean Field Dynamics
- Neural Fields
- Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations
