Population dynamics in networks of Izhikevich neurons with global delayed coupling
type: Item
instance of: scholarly article
title: Population dynamics in networks of Izhikevich neurons with global delayed coupling
author: Liang Chen
author: Sue Ann Campbell
published in: SIAM Journal on Applied Dynamical Systems
publication date: 2024-09-05T00:00:00Z
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7906738
zbMATH Keywords: neural network
zbMATH Keywords: mean field
zbMATH Keywords: bifurcation
zbMATH Keywords: delay
zbMATH Keywords: heterogeneity
zbMATH Keywords: adaptation
MaRDI profile type: Publication
cites work: Mathematical frameworks for oscillatory network dynamics in neuroscience
cites work: Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
cites work: Multi-timescale systems and fast-slow analysis
cites work: Julia: A Fresh Approach to Numerical Computing
cites work: Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
cites work: Q3426050
cites work: Handbook of brain connectivity
cites work: Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
cites work: Cross frequency coupling in next generation inhibitory neural mass models
cites work: Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott-Antonsen and Watanabe-Strogatz theories
cites work: Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems
cites work: Exact mean-field models for spiking neural networks with adaptation
cites work: New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
cites work: Q5134864
cites work: Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
cites work: Simulating, Analyzing, and Animating Dynamical Systems
cites work: Delays and weakly coupled neuronal oscillators
cites work: Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
cites work: Mathematical foundations of neuroscience
cites work: A Mean-Field Description of Bursting Dynamics in Spiking Neural Networks with Short-Term Adaptation
cites work: Elements of Applied Bifurcation Theory
cites work: The dynamics of networks of identical theta neurons
cites work: Classification and unfoldings of \(1:2\) resonant Hopf bifurcation
cites work: Bifurcations of large networks of two-dimensional integrate and fire neurons
cites work: Low dimensional behavior of large systems of globally coupled oscillators
cites work: Dynamics of heterogeneous oscillator ensembles in terms of collective variables
cites work: Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
cites work: An Introduction to Delay Differential Equations with Applications to the Life Sciences
cites work: Episodic activity in a heterogeneous excitatory network, from spiking neurons to mean field
cites work: Integrability of a globally coupled oscillator array
cites work: Constants of motion for superconducting Josephson arrays
cites work: Evolution of the Wilson-Cowan equations
DOI: 10.1137/24M1631146
description: scientific article; zbMATH DE number 7906738