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

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

1997-10-23

arxiv.org/abs/chao-dyn/9710019v1

Rendiconti del Seminario Matematico, Universita` e Politecnico di Torino,55, 291--302, 1997

Nonlinear Sciences

Chaotic Dynamics

10 pages

Scientific paper

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.

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