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Hyperbolic Attractors of Diffeomorphisms of Euclidean Space

Hyperbolic Attractors of Diffeomorphisms of Euclidean Space An arbitrary diffeomorphism f of class C 1 acting from an open set $$\mathcal{U}\subset \mathbb{R}^{m}$$ U ⊂ ℝ m , m ≥ 2, into $$f(\mathcal{U})\subset \mathbb{R}^{m}$$ f ( U ) ⊂ ℝ m is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Hyperbolic Attractors of Diffeomorphisms of Euclidean Space

Differential Equations , Volume 55 (4) – May 17, 2019

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2019 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266119040037
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Differential EquationsSpringer Journals

Published: May 17, 2019

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