Complex Arnol'd-Liouville maps
Dynamical Systems
2023-06-02 v1
Abstract
We discuss the holomorphic properties of the complex continuation of the classical Arnol'd-Liouville action-angle variables for real analytic 1 degree--of--freedom Hamiltonian systems depending on external parameters in suitable `generic standard form', with particular regard to the behaviour near separatrices.
Keywords
Cite
@article{arxiv.2306.00875,
title = {Complex Arnol'd-Liouville maps},
author = {Luca Biasco and Luigi Chierchia},
journal= {arXiv preprint arXiv:2306.00875},
year = {2023}
}
Comments
33 pages