Asymptotic and chaotic solutions of a singularly perturbed Nagumo-type equation

Alberto Boscaggin, Walter Dambrosio, Duccio Papini

We deal with the singularly perturbed Nagumo-type equation $${\epsilon }^2{u}^{\prime \prime }+u(1-u)(u-a(s))=0,$$ where $\epsilon >0$ is a real parameter and $a:\mathbb{R}\to \mathbb{R}$ is a piecewise co…