Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method
Chaotic Dynamics
2009-11-10 v1
Abstract
We present a method to construct symplecticity-preserving renormalization group maps by using the Liouville operator, and obtain correctly reduced symplectic maps describing their long-time behavior even when a resonant island chain appears.
Cite
@article{arxiv.nlin/0309021,
title = {Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method},
author = {Shin-itiro Goto and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:nlin/0309021},
year = {2009}
}