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

Giovanni Gallavotti

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arXiv · chao-dyn/9710019

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

Giovanni Gallavotti

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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.

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Giovanni Gallavotti. 1997-10-23. Hamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems. https://arxiv.org/abs/chao-dyn/9710019

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