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VOL. 85 | 2020 Pinned pulse solutions in a FitzHugh–Nagumo model with a bump-type heterogeneity
Peter van Heijster, Takashi Teramoto

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

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.

Information

Published: 1 January 2020
First available in Project Euclid: 29 December 2020

Digital Object Identifier: 10.2969/aspm/08510137

Subjects:
Primary: 34A36, 35B25, 35B35, 35K57, 49J40

Rights: Copyright © 2020 Mathematical Society of Japan

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