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

• Autorzy: Masafumi Yoshino
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37G05: Normal forms
• 37F50: Small divisors, rotation domains and linearization; Fatou and Julia sets
• 34M30: Asymptotics, summation methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 169-178

Daty

wydano

2012

Twórcy

autor

Masafumi Yoshino

• Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Hiroshima 739-8526, Japan

Identyfikatory

DOI

10.4064/bc97-0-13