Email this article Hyperbolic annulus principle
- Authors: Glyzin S.D.1, Kolesov A.Y.2, Rozov N.K.2
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Affiliations:
- Lomonosov Moscow State University
- P.G. Demidov Yaroslavl State University
- Issue: Vol 53, No 3 (2017)
- Pages: 281-301
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154299
- DOI: https://doi.org/10.1134/S0012266117030016
- ID: 154299
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Abstract
We study a special class of diffeomorphisms of an annulus (the direct product of a ball in ℝk, k ≥ 2, by an m-dimensional torus). We prove the so-called annulus principle; i.e., we suggest a set of sufficient conditions under which each diffeomorphism in a given class has an m-dimensional expanding hyperbolic attractor.
About the authors
S. D. Glyzin
Lomonosov Moscow State University
Author for correspondence.
Email: glyzin@uniyar.ac.ru
Russian Federation, Moscow, 119991
A. Yu. Kolesov
P.G. Demidov Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000
N. Kh. Rozov
P.G. Demidov Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000
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