A First Order Automated Lie Transform

作者:Abouelmagd Elbaz I*; Mostafa A; Guirao Juan L G
来源:International Journal of Bifurcation and Chaos, 2015, 25(14): 1540026.
DOI:10.1142/S021812741540026X

摘要

The objective of the present paper is to focus on the problem of the normalization of a Hamiltonian system via the elimination of angle variables involved using the Lie transform technique. The algorithm that we construct assumes that the Hamiltonian is periodic in n angle variables, with two rates: fast and slow. If the angle variables have the same rate only one transformation is required. The equations needed to evaluate the elements of each transformation and the secular perturbations are constructed.

  • 出版日期2015-12-30