2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80047Starting from a hyperbolic toral automorphism, we obtain, for a small volume preserving perturbation, an exact and rigorous second order perturbation expansion of the Lyapunov exponents.15 pages, this new version has a few confusing misprints correctedChaotic DynamicsPerturbation theory for Lyapunov exponents of a toral map: extension of a result of Shub and Wilkinsontext