Sep 26, 2017 · Abstract:The FitzHugh-Nagumo equation, which was derived as a simplification of the Hodgkin-Huxley model for nerve impulse propagation, ...

The FitzHugh--Nagumo equation, which was derived as a simplification of the Hodgkin--Huxley model for nerve impulse propagation, has been extensively ...

The FitzHugh-Nagumo equation, which was derived as a simplification of the Hodgkin-Huxley model for nerve impulse propagation, is considered as a ...

The FitzHugh-Nagumo equation, which was derived as a simplification of the Hodgkin-Huxley model for nerve impulse propagation, has been extensively studied ...

Nov 25, 2023 · This paper considers a kind of coupled FitzHugh-Nagumo (FHN) equations, combined the classical FHN equations with the mechanics equation.

Abstract. The FitzHugh-Nagumo model is a reaction-diffusion equation describing the prop- agation of electrical signals in nerve axons and other biological ...

Oct 2, 2022 · As an application, we study the existence and stability of small-amplitude periodic traveling waves for the FitzHugh-. Nagumo system with an ...

Using geometric singular perturbation theory, we prove the existence and stability of fast travelling pulses. The stability proof makes use of the Maslov index ...

They also found that the fast waves admit oscillatory tails and can be stable under certain conditions. ... Traveling pulses of coupled FitzHugh-Nagumo equations ...

This paper investigates travelling wave solutions of the FitzHugh-Nagumo equation from the viewpoint of fast-slow dynamical systems and demonstrates ...