Quantitative perturbation theory by successive elimination of harmonics
Copyright policy )Quantitative perturbation theory by successive elimination of harmonics
This paper establishes the theoretical basis for the method presented by the first author [see the previous review, ibid., 101-130 (1993)]. Two theorems are proved. The first one proves the ``almost invariantness within the limit \(T\) in time'' of tori constructed by the method. These tori fill up in the phase space an open set \(A\), say. The second theorem presents an estimate for \(T\) of exponential type that guarantees that the set \(A\) contains open balls of a given radius.
- University of Milan Italy
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, perturbation, action-angle variables, Celestial mechanics, Nekhoroshev theorem, KAM theorem
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, perturbation, action-angle variables, Celestial mechanics, Nekhoroshev theorem, KAM theorem
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