Renormalization group method and canonical perturbation theory
chao-dyn
2007-05-23 v1 Chaotic Dynamics
Abstract
Renormalization group method is one of the most powerful tool to obtain approximate solutions to differential equations. We apply the renormalization group method to Hamiltonian systems whose integrable parts linearly depend on action variables. We show that the renormalization group method gives the same approximate solutions as canonical perturbation theory up to the second order of a small parameter with action-angle coordinates.
Cite
@article{arxiv.chao-dyn/9902013,
title = {Renormalization group method and canonical perturbation theory},
author = {Yoshiyuki Y. Yamaguchi and Yasusada Nambu},
journal= {arXiv preprint arXiv:chao-dyn/9902013},
year = {2007}
}
Comments
LaTeX2e, 6 pages