arXiv Analytics

Sign in

arXiv:2011.04634 [math.DS]AbstractReferencesReviewsResources

Dynamics of two excitatory coupled neuron-like phase models

A. G. Korotkov, T. A. Levanova, M. A. Zaks, G. V. Osipov

Published 2020-11-09Version 1

A simple model of neuron-like ensemble is proposed. Within it, we consider dynamics of two excitable neurons interacting via the excitatory coupling. In the parameter space of the model, the regions of, respectively, in-phase, anti-phase synchronous behaviour and of quiescence are determined. Bifurcation transitions between all these states are studied in details.

Comments: 14 pages, 13 figures
Categories: math.DS
Related articles: Most relevant | Search more
arXiv:1609.02240 [math.DS] (Published 2016-09-08)
Slices of Parameter Space of Cubic Polynomials
arXiv:2102.06549 [math.DS] (Published 2021-02-12)
Integrability analysis of a simple model for describing convection of a rotating fluid
arXiv:math/9910176 [math.DS] (Published 1999-11-01)
The geometry of bifurcation surfaces in parameter space. I. A walk through the pitchfork

Links

Toolbox