On a Version of the Hyperbolic Annulus Principle


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A sufficiently general class of diffeomorphisms of the annulus (the direct product of a ball in \(\mathbb{R}^{k}\), k ≥ 2, by an m-dimensional torus) is studied. The so-called annulus principle, i.e., a set of sufficient conditions under which the diffeomorphisms of the class under study have a mixing hyperbolic attractor, is obtained.

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S. Glyzin

Demidov Yaroslavl State University; Scientific Center of the Russian Academy of Sciences in Chernogolovka

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Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Yaroslavl, 150003; Chernogolovka, Moscow oblast, 142432

A. Kolesov

Demidov Yaroslavl State University

Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Yaroslavl, 150003

N. Rozov

Lomonosov Moscow State University

Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Moscow, 119991

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