Hamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems
arXiv:chao-dyn/9710019
Abstract
Local 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 pages