Analysis of biological integrate-and-fire oscillators
Dynamical Systems
2015-03-17 v2
Abstract
We consider discontinuous dynamics of integrate-and-fire models, which consist of pulse-coupled biological oscillators. A thoroughly constructed map is in the basis of the analysis. Synchronization of non-identical oscillators is investigated. Significant advances for the solution of second Peskin's conjecture have been made. Examples with numerical simulations are given to validate the theoretical results. Perspectives are discussed.
Cite
@article{arxiv.1011.5632,
title = {Analysis of biological integrate-and-fire oscillators},
author = {Marat Akhmet},
journal= {arXiv preprint arXiv:1011.5632},
year = {2015}
}