We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the “splitting of separatrices” and to the “shadowing problem”. As an application we apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results.
A functional analysis approach to Arnold diffusion / Berti, Massimiliano; Bolle, P.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 19:4(2002), pp. 395-450. [10.1016/S0294-1449(01)00084-1]
A functional analysis approach to Arnold diffusion
Berti, Massimiliano;
2002-01-01
Abstract
We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the “splitting of separatrices” and to the “shadowing problem”. As an application we apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results.File in questo prodotto:
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