Temporal oscillations in neuronal nets
From MaRDI portal
Publication:1255907
DOI10.1007/BF00275728zbMath0402.92012OpenAlexW1998392718WikidataQ40246186 ScholiaQ40246186MaRDI QIDQ1255907
G. Bard Ermentrout, Jack D. Cowan
Publication date: 1979
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00275728
Bifurcation TheoryNeurobiologyNeuronal NetsNonlinear Integro- Differential EquationsTemporal Oscillations
Related Items (33)
Wilson-Cowan equations for neocortical dynamics ⋮ Spatiotemporal dynamics of pattern formation in the primary visual cortex and hallucinations ⋮ Symmetry breaking in neural nets ⋮ Dynamics and bifurcations of two coupled neural oscillators with different connection types ⋮ Delay-induced oscillations in Wilson and Cowan's model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects ⋮ Turing instability and pattern formation in a two-population neuronal network model ⋮ Bifurcations and Dynamics in Modified Two Population Neuronal Network Models ⋮ Spatiotemporally varying visual hallucinations: I. Corticothalamic theory ⋮ Limits and dynamics of stochastic neuronal networks with random heterogeneous delays ⋮ Symmetric Bifurcations in a Neural Field Model for Encoding the Direction of Spatial Contrast Gradients ⋮ Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions ⋮ A model for neuronal oscillations in the visual cortex. II: Phase description of the feature dependent synchronization ⋮ Neural pattern formation in networks with dendritic structure ⋮ Stability of bumps in a two-population neural-field model with quasi-power temporal kernels ⋮ Propagation of chaos in neural fields ⋮ Modeling multiple time scale firing rate adaptation in a neural network of local field potentials ⋮ The constitution of visual perceptual units in the functional architecture of V1 ⋮ Neural network firing-rate models on integral form ⋮ Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue ⋮ Physiological constraints on the formal representation of neurons ⋮ Nonlinear equations of reaction-diffusion type for neural populations ⋮ Modeling Neuronal Assemblies: Theory and Implementation ⋮ Continuum limit of discrete neuronal structures: is cortical tissue an ``excitable medium? ⋮ Stabilization of bimanual coordination due to active interhemispheric inhibition: a dynamical account ⋮ Filtering of Spatial Bias and Noise Inputs by Spatially Structured Neural Networks ⋮ Spatially extended networks with singular multi-scale connectivity patterns ⋮ A mathematical theory of visual hallucination patterns ⋮ Spatial and color hallucinations in a mathematical model of primary visual cortex ⋮ Detecting Synchronous Cell Assemblies with Limited Data and Overlapping Assemblies ⋮ Stochastic formulation of neural interaction ⋮ The behavior of rings of coupled oscillators ⋮ Limits and dynamics of randomly connected neuronal networks ⋮ Center-Crossing Recurrent Neural Networks for the Evolution of Rhythmic Behavior
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcations in reaction-diffusion problems
- An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model
- Bifurcations and trajectories joining critical points
- Bifurcation analysis of reaction-diffusion equations. III: Chemical oscillations
- Large Scale Spatially Organized Activity in Neural Nets
- Plane Wave Solutions to Reaction-Diffusion Equations
- Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
- A Model Biochemical Reaction Exhibiting Secondary Bifurcation
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
This page was built for publication: Temporal oscillations in neuronal nets
