Email this article Hyperbolic Attractors of Diffeomorphisms of Euclidean Space
- 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 in Chernogolovka RAS
- Lomonosov Moscow State University
- Issue: Vol 55, No 4 (2019)
- Pages: 458-470
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154985
- DOI: https://doi.org/10.1134/S0012266119040037
- ID: 154985
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Abstract
An arbitrary diffeomorphism f of class C1 acting from an open set \(\mathcal{U}\subset \mathbb{R}^{m}\), m ≥ 2, into \(f(\mathcal{U})\subset \mathbb{R}^{m}\) is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained.
About the authors
S. D. Glyzin
Demidov Yaroslavl State University; Scientific Center in Chernogolovka RAS
Author for correspondence.
Email: glyzin@uniyar.ac.ru
Russian Federation, Yaroslavl, 150003; Chernogolovka, 142432
A. Yu. Kolesov
Demidov Yaroslavl State University
Author for correspondence.
Email: andkolesov@mail.ru
Russian Federation, Yaroslavl, 150003
N. Kh. Rozov
Lomonosov Moscow State University
Author for correspondence.
Email: nicolas_rozov@mail.ru
Russian Federation, Moscow, 119991
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