On the Hyperbolicity of Toral Endomorphisms

A. Yu. Kolesov; N. Kh. Rozov; V. A. Sadovnichii

doi:10.1134/S0001434619010267

On the Hyperbolicity of Toral Endomorphisms

作者: Kolesov A.Y.¹, Rozov N.K.², Sadovnichii V.A.²
隶属关系:
1. Demidov Yaroslavl State University
2. Lomonosov Moscow State University
期: 卷 105, 编号 1-2 (2019)
页面: 236-250
栏目: Article
URL: https://ogarev-online.ru/0001-4346/article/view/151559
DOI: https://doi.org/10.1134/S0001434619010267
ID: 151559

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详细

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.