3 papers
math.DS2023
Distributed Delay and Desynchronization in a Brain Network Model
Isam Al-Darabsah, Sue Ann Campbell, Bootan Rahman
We consider a neural field model which consists of a network of an arbitrary number of Wilson-Cowan nodes with homeostatic adjustment of the inhibitory coupling strength and time d…
math.DS2020
M-current Induced Bogdanov-Takens Bifurcation and Switching of Neuron Excitability Class
Isam Al-Darabsah, Sue Ann Campbell
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consist…
math.DS2019
A Phase Model with Large Time Delayed Coupling
Isam Al-Darabsah, Sue Ann Campbell
We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the ass…