Abstract
In the present paper, we obtain a theorem that enables us to treat different exponentially small effects of dynamics from a unified point of view. As an example, we discuss the problem of fast phase averaging in a nonautonomous Hamiltonian system with 3/2 degrees of freedom. Bibliography: 5 titles.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 300, 2003, pp. 273–278.
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Zubelevich, O. On Exponentially Small Effects in Dynamical Systems with a Small Parameter. J Math Sci 128, 2839–2842 (2005). https://doi.org/10.1007/s10958-005-0243-7
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DOI: https://doi.org/10.1007/s10958-005-0243-7