Article ID Journal Published Year Pages File Type
4668327 Advances in Mathematics 2007 33 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)