On the hyperbolic automorphisms of the 2-torus and their Markov partitions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In the paper we give an introduction to Anosov diffeomorphisms, ways to represent their chaotic properties and some historical remarks on this subject. A complete classification of hyperbolic linear automorphisms of 2-torus is presented. We introduce a notion of pre-Markov partition for such automorphisms and give their classification and an algorithm for their construction.
34 pages, 5 figures, published as a preprint of Max Planck Institute for Mathematics MPIM2008-54, see http://www.mpim-bonn.mpg.de/preprints/send?bid=3586

Keywords

Dynamical Systems, 37D20; 37E30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/172697

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.5269
 http://arxiv.org/abs/0810.5269

Collections

arXiv