Abstract
The characterization of di?usion of orbits in Hamiltonian quasiintegrable systems is a relevant topic in dynamics. For quasi-integrable Hamiltonian systems a possible model for global di?usion, valid for perturbation larger than a critical value, was given by Chirikov; while for smaller perturbation the Nekhoroshev theorem leave the possibility of exponentially slow di?usion along a peculiar the Arnold’s web. We have studied this problem using a numerical approach. The aim of this chapter is to give the state of the art concerning the detection of slow Arnold’s di?usion in quasi-integrable Hamiltonian systems.
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Lega, E., Froeschlé, C., Guzzo, M. (2007). Diffusion in Hamiltonian Quasi-Integrable Systems. In: Benest, D., Froeschle, C., Lega, E. (eds) Topics in Gravitational Dynamics. Lecture Notes in Physics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72984-6_2
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DOI: https://doi.org/10.1007/978-3-540-72984-6_2
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