Article ID Journal Published Year Pages File Type
4618483 Journal of Mathematical Analysis and Applications 2011 8 Pages PDF
Abstract

The goal of this paper is to present an explicit computation of the Birkhoff–Gustavson normal form in the 1:1, 1:2 and 1:3 resonances, by using the concept of Weyl quantization, especially when it is about the first terms. We use in particular the Weyl symbolic calculus and the abstract theorem of the quantum Birkhoff–Gustavson normal form in infinite dimension.

Related Topics
Physical Sciences and Engineering Mathematics Analysis