Email this article On a Version of the Hyperbolic Annulus Principle
- Authors: Glyzin S.D.1,2, Kolesov A.Y.1, Rozov N.K.3
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Affiliations:
- Demidov Yaroslavl State University
- Scientific Center of the Russian Academy of Sciences in Chernogolovka
- Lomonosov Moscow State University
- Issue: Vol 54, No 8 (2018)
- Pages: 1000-1025
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154810
- DOI: https://doi.org/10.1134/S0012266118080025
- ID: 154810
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Abstract
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.
About the authors
S. D. Glyzin
Demidov Yaroslavl State University; Scientific Center of the Russian Academy of Sciences in Chernogolovka
Author for correspondence.
Email: glyzin@uniyar.ac.ru
Russian Federation, Yaroslavl, 150003; Chernogolovka, Moscow oblast, 142432
A. Yu. Kolesov
Demidov Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Yaroslavl, 150003
N. Kh. Rozov
Lomonosov Moscow State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Moscow, 119991
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