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arxiv: chao-dyn/9710019 · v1 · submitted 1997-10-23 · chao-dyn · nlin.CD

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

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classification chao-dyn nlin.CD
keywords arnolddiffusiondealsdevelopmentsdiscussedequationexampleforced
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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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