Lyapunov{type numbers for Poincaré maps

Abstract

In [3] we have addressed computational issues related to Lyapunovtype numbers for invariant curves of planar maps. These numbers are important for understanding persistence and breakdown of the invariant curves when the map is perturbed. The purpose of this paper is to apply the results of [3] to Poincaré maps of systems of ODEs depending on a parameter and to address numerical issues involved.