Chaotic oscillations in a map-based model of neural activity
Neurons and Cognition
2009-11-13 v1 Chaotic Dynamics
Abstract
We propose a discrete time dynamical system (a map) as phenomenological model of excitable and spiking-bursting neurons. The model is a discontinuous two-dimensional map. We find condition under which this map has an invariant region on the phase plane, containing chaotic attractor. This attractor creates chaotic spiking-bursting oscillations of the model. We also show various regimes of other neural activities (subthreshold oscillations, phasic spiking etc.) derived from the proposed model.
Cite
@article{arxiv.0712.2097,
title = {Chaotic oscillations in a map-based model of neural activity},
author = {Maurice Courbage and V. I. Nekorkin and L. V. Vdovin},
journal= {arXiv preprint arXiv:0712.2097},
year = {2009}
}