Fractional monodromy in the 1 : − 2 resonance

We give an analytic proof of the fractional monodromy theorem for the 1 : − 2 oscillator system with S 1 symmetry formulated by N.N. Nekhoroshev, D.A. Sadovskií, and B.I. Zhilinskií in C. R. Acad. Sci. Paris, Ser. I 335 (2002) 985–988. Our proof is based on an analytic description of the Hamiltonian...

Full description

Saved in:
Bibliographic Details
Published in:Advances in mathematics (New York. 1965) 2007-02, Vol.209 (1), p.241-273
Main Authors: Efstathiou, K., Cushman, R.H., Sadovskií, D.A.
Format: Article
Language:English
Subjects:
Liouville integrable system
Monodromy
Singular toric fibration
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give an analytic proof of the fractional monodromy theorem for the 1 : − 2 oscillator system with S 1 symmetry formulated by N.N. Nekhoroshev, D.A. Sadovskií, and B.I. Zhilinskií in C. R. Acad. Sci. Paris, Ser. I 335 (2002) 985–988. Our proof is based on an analytic description of the Hamiltonian flow on the fibers of the integral map of this system.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2006.05.006