Journal Title
Title of Journal: Acta Biotheor
|
Abbravation: Acta Biotheoretica
|
Publisher
Springer Netherlands
|
|
|
|
Authors: N Corson V Lanza N Verdière
Publish Date: 2016/10/03
Volume: 64, Issue: 4, Pages: 375-402
Abstract
This paper addresses the existence of Hopf bifurcations in a directed acyclic network of neurons each of them being modeled by a Hindmarsh–Rose HR neuronal model The bifurcation parameter is the small parameter corresponding to the ratio of time scales between the fast and the slow dynamics We first prove that under certain hypotheses the single uncoupled neuron can undergo a Hopf bifurcation Hopf bifurcation occurrences in a directed acyclic network of HR neurons are then discussed Numerical simulations are carried out to observe these bifurcations and to illustrate the theoretical results
Keywords:
.
|
Other Papers In This Journal:
|