Asymptotic Limit-cycle Analysis of the FitzHugh-Nagumo Equations
Mathematical Physics
2021-07-27 v1 math.MP
Chaotic Dynamics
Abstract
The asymptotic limit-cycle analysis of the FitzHugh-Nagumo equations is presented. In this work, we obtain an explicit analytical expression for the relaxation-oscillation period that is accurate within 1\% of their numerical values. In addition, we derive the critical parametric values leading to canard explosions and implosions in its associated limit cycles.
Keywords
Cite
@article{arxiv.2107.11642,
title = {Asymptotic Limit-cycle Analysis of the FitzHugh-Nagumo Equations},
author = {Alain J. Brizard},
journal= {arXiv preprint arXiv:2107.11642},
year = {2021}
}
Comments
9 pages, 11 figures. arXiv admin note: substantial text overlap with arXiv:2105.01234