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We study the problem of Arnold's diffusion in an example of isochronoussystem by using a geometrical method known as Windows Method. Despite thesimple features of this example, we show that the absence of an anisochronyterm leads to several substantial difficulties in the application of themethod, requiring some additional devices as non-equally spaced transitionchains and variable windows. In this way we are able to obtain a set of fastorbits whose drifting time matches, up to a constant, the time obtained viavariational methods.

Fast drift and diffusion in an example of isochronous system through Windows Method