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Summability of first integrals of a $C^\omega$-non-integrable resonant Hamiltonian system

Tom 97 / 2012

Masafumi Yoshino Banach Center Publications 97 (2012), 169-178 MSC: Primary 34M30; Secondary 37F50, 37G05. DOI: 10.4064/bc97-0-13

Streszczenie

This article studies the summability of first integrals of a $C^\omega$-non-integrable resonant Hamiltonian system. The first integrals are expressed in terms of formal exponential transseries and their Borel sums. Smooth Liouville integrability and a relation to the Birkhoff transformation are discussed from the point of view of the summability.

Autorzy

  • Masafumi YoshinoDepartment of Mathematics
    Graduate School of Science
    Hiroshima University
    1-3-1 Kagamiyama
    Hiroshima 739-8526, Japan
    e-mail

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