Renormalization and conjugacy of piecewise linear Lorenz maps
Dynamical Systems
2009-06-30 v3
Abstract
For each piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate to a -transformation.
Cite
@article{arxiv.0906.3131,
title = {Renormalization and conjugacy of piecewise linear Lorenz maps},
author = {Hong-Fei Cui and Yi-Ming Ding},
journal= {arXiv preprint arXiv:0906.3131},
year = {2009}
}
Comments
18 pages, 1 figure