On the asymptotic wavenumber of spiral waves in $\lambda -\omega$ systems

Abstract

In this paper we consider spiral wave solutions of a general class of $\lambda -\omega$ systems with a small parameter $q$ and we prove that the asymptotic wavenumber of the spirals is a ${\mathcal{C}}^{\infty }$-flat function of the perturbation parameter $q$.

25 pages, 1 figura