Hyperbolic attractors of diffeomorphisms of Euclidean space. (English. Russian original) Zbl 1421.37015
Differ. Equ. 55, No. 4, 458-470 (2019); translation from Differ. Uravn. 55, No. 4, 473-485 (2019).
Summary: An arbitrary diffeomorphism \(f\) of class \(C^1\) acting from an open set \(\mathcal{U}\subset \mathbb{R}^{m}\), \(m\geq 2\), into \(f(\mathcal{U})\subset \mathbb{R}^{m}\) is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are obtained.
MSC:
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
| 37C05 | Dynamical systems involving smooth mappings and diffeomorphisms |
| 37A25 | Ergodicity, mixing, rates of mixing |
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