Stability and bifurcations in Wilson-Cowan systems with distributed delays, and an application to basal ganglia interactions
From MaRDI portal
Publication:2247029
DOI10.1016/j.cnsns.2021.105984zbMath1478.37089arXiv1904.12108OpenAlexW3195985251MaRDI QIDQ2247029
Emanuel-Attila Kokovics, Anca Rǎdulescu, Eva Kaslik
Publication date: 16 November 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.12108
Epidemiology (92D30) Dynamical systems in biology (37N25) Systems of nonlinear integral equations (45G15)
Related Items (2)
The possible mechanism of direct feedback projections from basal ganglia to cortex in beta oscillations of Parkinson's disease: a theoretical evidence in the competing resonance model ⋮ Periodic solutions to a class of distributed delay differential equations via variational methods
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Delay-induced oscillations in Wilson and Cowan's model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects
- Equations with infinite delay: blending the abstract and the concrete
- Clustering in globally coupled inhibitory neurons
- Bifurcation analysis of a chemostat model with a distributed delay
- Approximating the stability region of a neural network with a general distribution of delays
- Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
- Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays
- Local and global stability for Lotka-Volterra systems with distributed delays and instantaneous negative feedbacks
- Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
- Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations
- Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay
- What can topology tell us about the neural code?
- Delays in activity-based neural networks
- Approximating the Stability Region for a Differential Equation with a Distributed Delay
- On the Zeros and the Argument of a Characteristic Function
- Wilson–Cowan Neuronal Interaction Models with Distributed Delays
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- Sufficient conditions for stability of linear differential equations with distributed delay
This page was built for publication: Stability and bifurcations in Wilson-Cowan systems with distributed delays, and an application to basal ganglia interactions