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arXiv · 2002.09588

Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model

S. Sehgal·A. J. Foulkes
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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.

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S. Sehgal, A. J. Foulkes. 2020-02-22. Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model. https://doi.org/10.1103/physreve.102.012212

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