Hyperbolic Attractors of Diffeomorphisms of Euclidean Space

An arbitrary diffeomorphism f of class C 1 acting from an open set U ⊂ ℝ m , m ≥ 2, into f ( U ) ⊂ ℝ m is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained.

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Bibliographic Details
Published in:Differential equations 2019-04, Vol.55 (4), p.458-470
Main Authors: Glyzin, S. D., Kolesov, A. Yu, Rozov, N. Kh
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Differential equations
Euclidean geometry
Euclidean space
Isomorphism
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Description
Summary:An arbitrary diffeomorphism f of class C 1 acting from an open set U ⊂ ℝ m , m ≥ 2, into f ( U ) ⊂ ℝ m is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266119040037