Mathematical Notes

, Volume 105, Issue 1–2, pp 236–250 | Cite as

On the Hyperbolicity of Toral Endomorphisms

  • A. Yu. KolesovEmail author
  • N. Kh. RozovEmail author
  • V. A. SadovnichiiEmail author


Nonsingular endomorphisms of the m-torus \(\mathbb{T}\)m, m ≥ 2, which are C1 perturbations of linear hyperbolic endomorphisms are considered. Sufficient conditions for such maps to be hyperbolic (i.e., belong to the class of Anosov endomorphisms) are found.


endomorphism hyperbolicity torus Anosov endomorphism 


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Demidov Yaroslavl State UniversityYaroslavlRussia
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

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