Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh-Nagumo Kinetics

Abstract EN

We study Hopf bifurcation solutions to the Monodomain model equipped with FitzHugh-Nagumo cell dynamics.

This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical activity in the human heart.

In our setting the (bounded) spatial domain consists of two subdomains: a collection of automatic cells surrounded by collections of normal cells.

Thus, the cell model features a discontinuous coefficient.

Analytical techniques are applied to approximate the time-periodic solution that arises at the Hopf bifurcation point.

Accurate numerical experiments are employed to complement our findings.