English

A note on explicit solutions of FitzHugh-Rinzel system

Adaptation and Self-Organizing Systems 2022-04-05 v1

Abstract

The numerous scientific feedbacks that the FitzHugh-Rinzel system (FHR) is having in various scientific fields, lead to further studies on the determination of its explicit solutions. Indeed, such a study can help to get a better understanding of several behaviors in the complex dynamics of biological systems. In this note, a class of traveling wave solutions is determined and specific solutions are achieved to explicitly show the contribution due to a diffusion term considered in the FHR model.

Keywords

Cite

@article{arxiv.2201.11074,
  title  = {A note on explicit solutions of FitzHugh-Rinzel system},
  author = {Monica De Angelis},
  journal= {arXiv preprint arXiv:2201.11074},
  year   = {2022}
}
R2 v1 2026-06-24T09:04:05.778Z