Regularized Renormalization Group Reduction of Symplectic Map
Chaotic Dynamics
2009-10-31 v1
Abstract
By means of the perturbative renormalization group method, we study a long-time behaviour of some symplectic discrete maps near elliptic and hyperbolic fixed points. It is shown that a naive renormalization group (RG) map breaks the symplectic symmetry and fails to describe a long-time behaviour. In order to preserve the symplectic symmetry, we present a regularization procedure, which gives a regularized symplectic RG map describing an approximate long-time behaviour succesfully.
Cite
@article{arxiv.nlin/0008013,
title = {Regularized Renormalization Group Reduction of Symplectic Map},
author = {Shin-itiro Goto and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:nlin/0008013},
year = {2009}
}