Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model
Dynamical Systems
2020-07-22 v1
Abstract
It had been shown that the transition from a rigidly rotating spiral wave to a meandering spiral wave is via a Hopf bifurcation. Many studies have shown that these bifurcations are supercritical, but we present numerical studies which show that subcritical bifurcations are also present within FitzHugh-Nagumo. Furthermore, we present a evidence that this bifurcation is highly sensitive to initial conditions, and it is possible to convert one solution in the hysteresis loop to the other.
Keywords
Cite
@article{arxiv.2002.09588,
title = {Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model},
author = {S. Sehgal and A. J. Foulkes},
journal= {arXiv preprint arXiv:2002.09588},
year = {2020}
}
Comments
12 pages, 9 figures