Networks of piecewise linear neural mass models
From MaRDI portal
Publication:4962514
DOI10.1017/S0956792518000050zbMath1401.92008arXiv1801.08366OpenAlexW2963033303MaRDI QIDQ4962514
Yi Ming Lai, Rüdiger Thul, Mustafa Şaylı, Stephen Coombes
Publication date: 5 November 2018
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08366
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (10)
Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Convergence and synchronization in networks of piecewise-smooth systems via distributed discontinuous coupling ⋮ Master stability function for piecewise smooth Filippov networks ⋮ Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity ⋮ Robust hybrid observer design based on reconstructability conditions for piecewise linear systems ⋮ Understanding the effect of white matter delays on large scale brain synchrony ⋮ Normalized Connectomes Show Increased Synchronizability with Age through Their Second Largest Eigenvalue ⋮ Chaos in homeostatically regulated neural systems ⋮ On the potential role of lateral connectivity in retinal anticipation ⋮ The dynamics and event-collision bifurcations in switched control systems with delayed switching
Cites Work
- Unnamed Item
- Unnamed Item
- Wilson-Cowan equations for neocortical dynamics
- Modeling focal epileptic activity in the Wilson-cowan model with depolarization block
- Synchronization in complex networks of phase oscillators: a survey
- Dynamics and bifurcations of non-smooth mechanical systems
- Entrainment in up and down states of neural populations: non-smooth and stochastic models
- Chemical oscillations, waves, and turbulence
- Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Performance of a model for a local neuron population
- Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns
- Piecewise-smooth dynamical systems. Theory and applications
- Waves, bumps, and patterns in neural field theories
- An adaptive model for synchrony in the firefly Pteroptyx malaccae
- Combinatorial explosion in model gene networks
- Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems
- Synchrony in networks of coupled non-smooth dynamical systems: Extending the master stability function
- ON SYNCHRONIZATION AND CONTROL OF COUPLED WILSON–COWAN NEURAL OSCILLATORS
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
- Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate
- Breakdown of order preservation in symmetric oscillator networks with pulse-coupling
- Neural Fields
- BIFURCATIONS AND CHAOS IN TIME DELAYED PIECEWISE LINEAR DYNAMICAL SYSTEMS
- Analysis of continuous-time switching networks
- Synchrony, stability, and firing patterns in pulse-coupled oscillators
This page was built for publication: Networks of piecewise linear neural mass models