Hyperbolic annulus principle
- Autores: Glyzin S.D.1, Kolesov A.Y.2, Rozov N.K.2
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Afiliações:
- Lomonosov Moscow State University
- P.G. Demidov Yaroslavl State University
- Edição: Volume 53, Nº 3 (2017)
- Páginas: 281-301
- Seção: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154299
- DOI: https://doi.org/10.1134/S0012266117030016
- ID: 154299
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Resumo
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.
Sobre autores
S. Glyzin
Lomonosov Moscow State University
Autor responsável pela correspondência
Email: glyzin@uniyar.ac.ru
Rússia, Moscow, 119991
A. Kolesov
P.G. Demidov Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Rússia, Yaroslavl, 150000
N. Rozov
P.G. Demidov Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Rússia, Yaroslavl, 150000
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