On the hyperbolicity of toral endomorphisms

DOI10.1134/S0001434619010267zbMath1416.37033OpenAlexW2939672188MaRDI QIDQ2313631

N. Kh. Rozov, A. Yu. Kolesov, Victor A. Sadovnichij

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619010267

zbMATH Keywords

torushyperbolicityendomorphismAnosov endomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus ⋮ On a class of Anosov diffeomorphisms on the infinite-dimensional torus ⋮ Hyperbolicity criterion for torus endomorphisms ⋮ On some modifications of Arnold's cat map

Cites Work

• Anosov maps on closed topological manifolds
• Sufficient condition for the hyperbolicity of mappings of the torus
• On the unstable directions and Lyapunov exponents of Anosov endomorphisms
• Anosov endomorphisms
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