Hyperbolic Attractors of Diffeomorphisms of Euclidean Space

Аннотация

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.