✦ LIBER ✦

Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition

✍ Scribed by Dongfeng Zhang; Junxiang Xu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 340 KB
Volume: 67
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.09.012

No coin nor oath required. For personal study only.

✦ Synopsis

We consider Gevrey-smooth perturbation of a completely integrable Gevrey-smooth Hamiltonian under Rüssmann's nondegeneracy condition, and obtain a family of invariant tori using an improved KAM iteration; they are Gevrey smooth in the sense of Whitney, with a Gevrey index depending on the Gevrey class of the Hamiltonian and on the exponent in the Diophantine condition.

📜 SIMILAR VOLUMES

On the persistence of elliptic lower-dim

On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition

✍ Shaoping Wang; Dongfeng Zhang; Junxiang Xu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 196 KB