Fractional monodromy in the 1:-2 resonance

K. Efstathiou, R. H. Cushman, D. A. Sadovskií (2007)
Advances in Mathematics

Abstract

We give an analytic proof of the fractional monodromy theorem for the 1:−2 oscillator system with S1 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.

@article{2007_ECS_Fractional_Monodromy,
 abstract = {We give an analytic proof of the fractional monodromy theorem for the 1:−2 oscillator system with S1 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.},
 author = {Efstathiou, K. and Cushman, R. H. and Sadovskií, D. A.},
 doi = {10.1016/j.aim.2006.05.006},
 journal = {Advances in Mathematics},
 journalurl = {https://www.journals.elsevier.com/advances-in-mathematics},
 number = {1},
 pages = {241-273},
 title = {Fractional monodromy in the 1:-2 resonance},
 volume = {209},
 year = {2007}
}