Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation
From MaRDI portal
Publication:4571162
DOI10.1137/17M1140868zbMath1394.45016arXiv1801.06168OpenAlexW2964339235MaRDI QIDQ4571162
G. Bard Ermentrout, Youngmin Park
Publication date: 6 July 2018
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06168
Integro-partial differential equations (45K05) Dynamical systems in biology (37N25) Normal forms for dynamical systems (37G05) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network
- Waves, bumps, and patterns in neural field theories
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
- Existence and Stability of Traveling Pulses in a Neural Field Equation with Synaptic Depression
- Pulse Bifurcations in Stochastic Neural Fields
- Dynamical Synapses Enhance Neural Information Processing: Gracefulness, Accuracy, and Mobility
- Neural Information Processing with Feedback Modulations
- Nonlinear Analysis of Breathing Pulses in a Synaptically Coupled Neural Network
- A Moving Bump in a Continuous Manifold: A Comprehensive Study of the Tracking Dynamics of Continuous Attractor Neural Networks
- Breathing Pulses in an Excitatory Neural Network
- Front Bifurcations in an Excitatory Neural Network
- Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation
- Stochastic Motion of Bumps in Planar Neural Fields
- Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network
- Spontaneous Motion on Two-Dimensional Continuous Attractors
- Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function
- Noise-induced stabilization of bumps in systems with long-range spatial coupling
