2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155613Local integrability of hyperbolic oscillators is discussed to provide an introductory example of the Arnold's diffusion phenomenon in a forced pendulum. This is a text prepared for the the ISI summer school of June 1997 and deals with developments of the topics treated in the lectures.10 pagesChaotic DynamicsHamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systemstext