Stochastic Motion of Bumps in Planar Neural Fields
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Publication:5264057
DOI10.1137/140999505zbMath1402.92108arXiv1412.3410OpenAlexW2963633953MaRDI QIDQ5264057
Zachary P. Kilpatrick, Daniel B. Poll
Publication date: 20 July 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3410
Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs with randomness, stochastic partial differential equations (35R60) Integro-partial differential equations (35R09)
Related Items (4)
Velocity Integration in a Multilayer Neural Field Model of Spatial Working Memory ⋮ Neural field models with threshold noise ⋮ Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation ⋮ A gradient flow formulation for the stochastic Amari neural field model
Cites Work
- Unnamed Item
- Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation
- Propagating fronts in reaction-diffusion systems
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Mathematical theory on formation of category detecting nerve cells
- Neural bubble dynamics in two dimensions: Foundations
- Circular stationary solutions in two-dimensional neural fields
- Interface dynamics in planar neural field models
- Stochastic neural field equations: a rigorous footing
- Delay stabilizes stochastic motion of bumps in layered neural fields
- Wandering Bumps in Stochastic Neural Fields
- Front Propagation in Stochastic Neural Fields
- Front Propagation in Stochastic Neural Fields: A Rigorous Mathematical Framework
- Two-Dimensional Bumps in Piecewise Smooth Neural Fields with Synaptic Depression
- Neuronal Computations with Stochastic Network States
- Spatiotemporal dynamics of continuum neural fields
- Multiple Bumps in a Neuronal Model of Working Memory
- Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks
- PDE Methods for Nonlocal Models
- Breathing Pulses in an Excitatory Neural Network
- Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields
- Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network
- Handbook of stochastic methods for physics, chemistry and the natural sciences.
- Noise-induced stabilization of bumps in systems with long-range spatial coupling
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