Propagation of bursting oscillations in coupled Hodgkin-Huxley Reaction-Diffusion systems
Dynamical Systems
2017-05-11 v3 Analysis of PDEs
Abstract
We consider networks of reaction-diffusion systems of Hodgkin-Huxley type. We give a general mathematical framework, in which we prove existence and unicity of solutions as well as existence of invariant regions and of the attractor. Then, we illustrate some relevant numerical examples and exhibit bifurcation phenomena and propagation of bursting oscillations through one and two coupled systems.
Keywords
Cite
@article{arxiv.1702.02517,
title = {Propagation of bursting oscillations in coupled Hodgkin-Huxley Reaction-Diffusion systems},
author = {B. Ambrosio and M. A. Aziz-Alaoui and A. Balti},
journal= {arXiv preprint arXiv:1702.02517},
year = {2017}
}