Renormalization analysis of intermittency in two coupled maps
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvaule associated with the scaling of the control parameter of the uncoupled one-dimensional map. However, the relevant ``coupling eigenvalue'' associated with coupling perturbation varies depending on the fixed maps. These renormalization results are also confirmed for a linearly-coupled case.
Keywords
Cite
@article{arxiv.chao-dyn/9807036,
title = {Renormalization analysis of intermittency in two coupled maps},
author = {Sang-Yoon Kim},
journal= {arXiv preprint arXiv:chao-dyn/9807036},
year = {2009}
}
Comments
11 pages, RevTeX, 2 eps figures