Summability of first integrals of a Cω-non-integrable resonant Hamiltonian system
Masafumi Yoshino
Banach Center Publications, Tome 97 (2012), p. 169-178 / Harvested from The Polish Digital Mathematics Library
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This article studies the summability of first integrals of a Cω-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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:282122 
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     author = {Masafumi Yoshino},
     title = {Summability of first integrals of a $C^$\omega$$-non-integrable resonant Hamiltonian system},
     journal = {Banach Center Publications},
     volume = {97},
     year = {2012},
     pages = {169-178},
     zbl = {1321.37056},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-13}
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Masafumi Yoshino. Summability of first integrals of a $C^ω$-non-integrable resonant Hamiltonian system. Banach Center Publications, Tome 97 (2012) pp. 169-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-13/