Normal form for lower dimensional elliptic tori in Hamiltonian systems

We give a proof of the convergence of an algorithm for the construction of lower dimensional elliptic tori in nearly integrable Hamiltonian systems. The existence of such invariant tori is proved by leading the Hamiltonian to a suitable normal form. In particular, we adapt the procedure described in...

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Bibliographic Details
Main Author: Chiara Caracciolo
Format: Article
Language:English
Published: AIMS Press 2022-11-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022051?viewType=HTML