A study of the FitzHugh-Nagumo Model with diffusion term
Resumen
This article aims to provide a theoretical background for the FitzHugh-Nagumo Model, a reaction-diffusion system originating from the field of neuroscience modeling. We begin by examining a linear reaction-diffusion system, establishing conditions under which Hopf bifurcations exist. We then bridge these findings to the nonlinear and nonhomogeneous FitzHugh-Nagumo (nhFHN) system, demonstrating the conditions necessary for generating oscillatory behavior in this system. Finally, we present numerical simulations of the nhFHN system.
Descargas
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
