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Tutorial on Neural Field Theory (Q4992846)

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scientific article; zbMATH DE number 7357446

Language	Label	Description	Also known as
English	Tutorial on Neural Field Theory	scientific article; zbMATH DE number 7357446

Statements

scholarly article

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Tutorial on Neural Field Theory (English)

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Peter beim Graben

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Stephen Coombes

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Roland W. E. Potthast

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publication date

10 June 2021

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zbMATH Keywords

neural field model

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Turing instability

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amplitude equations

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firing rate function

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axonal delay

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-54593-1_1

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The path integral for dendritic trees

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Homogeneous nets of neuron-like elements

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Dynamics of pattern formation in lateral-inhibition type neural fields

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Inverse problems in dynamic cognitive modeling

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Traveling fronts and wave propagation failure in an inhomogeneous neural network

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Spatiotemporal dynamics of continuum neural fields

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Neural pattern formation in networks with dendritic structure

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Inverse acoustic and electromagnetic scattering theory.

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Waves, bumps, and patterns in neural field theories

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Waves and bumps in neuronal networks with axo-dendritic synaptic interactions

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Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function

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Neural fields with sigmoidal firing rates: Approximate solutions

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Interface dynamics in planar neural field models

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Branching dendrites with resonant membrane: a ``sum-over-trips'' approach

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Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square

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A mathematical theory of visual hallucination patterns

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Existence and uniqueness of travelling waves for a neural network

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Absolute Stability and Complete Synchronization in a Class of Neural Fields Models

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Breathing Pulses in an Excitatory Neural Network

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Stimulus-Locked Traveling Waves and Breathers in an Excitatory Neural Network

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A field theory of neural nets: I: Derivation of field equations

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A field theory of neural nets: II. Properties of the field equations

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Principles of brain functioning. A synergetic approach to brain activity, behavior and cognition

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Pattern Formation

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A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics

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Neural Field Dynamics on the Folded Three-Dimensional Cortical Sheet and Its Forward EEG and MEG

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Binocular Rivalry in a Competitive Neural Network with Synaptic Depression

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Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network

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An introduction to the mathematical theory of inverse problems

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Existence and stability of local excitations in homogeneous neural fields

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Linear integral equations

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Spiral Waves in Nonlocal Equations

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PDE Methods for Nonlocal Models

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Two-bump solutions of Amari-type models of neuronal pattern formation

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Multiple Bumps in a Neuronal Model of Working Memory

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The brain wave equation: A model for the EEG

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Iterative schemes for bump solutions in a neural field model

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Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses

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Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses

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Inverse Problems in Neural Field Theory

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Wave fronts in inhomogeneous neural field models

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Neural ''bubble'' dynamics in two dimensions: Foundations

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Dynamic instabilities in scalar neural field equations with space-dependent delays

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A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-54593-1_1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4992846

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