Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method
patt-sol
2009-10-30 v1 chao-dyn
Condensed Matter
High Energy Physics - Theory
Chaotic Dynamics
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
solv-int
Abstract
The renormalization group (RG) method is extended for global asymptotic analysis of discrete systems. We show that the RG equation in the discretized form leads to difference equations corresponding to the Stuart-Landau or Ginzburg-Landau equations. We propose a discretization scheme which leads to a faithful discretization of the reduced dynamics of the original differential equations.
Keywords
Cite
@article{arxiv.patt-sol/9705003,
title = {Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method},
author = {T. Kunihiro and J. Matsukidaira},
journal= {arXiv preprint arXiv:patt-sol/9705003},
year = {2009}
}
Comments
LaTEX. 12pages. 1 figure included