On the Hausdorff Dimension of Piecewise Hyperbolic Attractors
Dynamical Systems
2009-04-27 v1
Abstract
We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.
Keywords
Cite
@article{arxiv.0904.3802,
title = {On the Hausdorff Dimension of Piecewise Hyperbolic Attractors},
author = {Tomas Persson},
journal= {arXiv preprint arXiv:0904.3802},
year = {2009}
}
Comments
21 pages, 5 figures