4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.AP2025
Stability of Traveling Fronts of the FitzHugh-Nagumo Equations on Cylindrical Surfaces
Afroditi Talidou
The FitzHugh-Nagumo equations are known to admit traveling front solutions in one spatial dimension that are nonlinearly stable. This paper concerns the stability of traveling fron…
math.AP2020★ 4 cited
Near-Pulse Solutions of the FitzHugh-Nagumo Equations on Cylindrical Surfaces
Afroditi Talidou, Almut Burchard, Israel Michael Sigal
We introduce a geometrical extension of the FitzHugh-Nagumo equations describing propagation of electrical impulses in nerve axons. In this extension, the axon is modeled as a warp…