Pinned pulse solutions in a FitzHugh–Nagumo model with a bump-type heterogeneity

Abstract

In this article, we use geometric singular perturbation techniques combined with an action functional approach to study pinned pulse solutions in a three-component FitzHugh–Nagumo model with a bump-type heterogeneity. We show that the model in the original activator-2 inhibitor framework only supports symmetric pinned pulse solutions that are located in the middle of the bump region. In contrast, asymmetric pinning is possible for parameters not in the activator-2 inhibitor framework.