FM 97-8

Author: G. Gallavotti

Title: Hamilton--Jacobi's equation and Arnold's diffusion
near invariant tori in a priori unstable isochronous 
systems.

Abstract:  Local integrability of hyperbolic oscillators
is discussed to provide an introductory example of the Arnold's
diffusion phenomenon in a forced pendulum.

Keywords: Hamilton Jacobi, KAM, Arnold diffusion, invariant tori

Giovanni Gallavotti

Fisica, Universita' di Roma La Sapienza,
P.le Moro 2, 00185, Roma, Italia.
e-mail giovanni@ipparco.roma1.infn.it
tel. 6-49914370, fax 6-4957697

Home page: http://www.math.rutgers.edu/~giovanni