Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré

Low dimensional completely resonant tori in Hamiltonian Lattices and a Theorem of Poincaré

We present an extension of a classical result of Poincaré (1892) about continuation of periodic orbits and breaking of completely resonant tori in a class of nearly integrable Hamiltonian systems, which covers most Hamiltonian Lattice models. The result is based on the fixed point method of the peri...

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Bibliographic Details
Main Authors: Tiziano Penati, Veronica Danesi, Simone Paleari
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
hamiltonian lattices
perturbation theory
average methods
resonant tori
periodic orbits
linear stability
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021029?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/mine.2021029?viewType=HTML

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