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

Masafumi Yoshino. "Summability of first integrals of a $C^ω$-non-integrable resonant Hamiltonian system." Banach Center Publications 97.1 (2012): 169-178. <http://eudml.org/doc/282122>.

@article{MasafumiYoshino2012,
abstract = {This article studies the summability of first integrals of a $C^ω$-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.},
author = {Masafumi Yoshino},
journal = {Banach Center Publications},
keywords = {Liouville integrability; resonant Hamiltonian system; Borel summability; transseries; monodromy},
language = {eng},
number = {1},
pages = {169-178},
title = {Summability of first integrals of a $C^ω$-non-integrable resonant Hamiltonian system},
url = {http://eudml.org/doc/282122},
volume = {97},
year = {2012},
}

TY - JOUR
AU - Masafumi Yoshino
TI - Summability of first integrals of a $C^ω$-non-integrable resonant Hamiltonian system
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 169
EP - 178
AB - This article studies the summability of first integrals of a $C^ω$-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.
LA - eng
KW - Liouville integrability; resonant Hamiltonian system; Borel summability; transseries; monodromy
UR - http://eudml.org/doc/282122
ER -