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

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dc.creatorAnosov, Dmitry V.
dc.creatorKlimenko, Alexey V.
dc.creatorKolutsky, Grisha
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:13:54Z
dc.date.available2026-07-07T10:13:54Z
dc.descriptionIn 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.
dc.description34 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
dc.identifierhttps://arxiv.org/abs/0810.5269
dc.identifierhttp://arxiv.org/abs/0810.5269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172697
dc.subjectDynamical Systems
dc.subject37D20; 37E30
dc.titleOn the hyperbolic automorphisms of the 2-torus and their Markov partitions
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