On a version of the hyperbolic annulus principle. (English. Russian original) Zbl 1403.37030
Differ. Equ. 54, No. 8, 1000-1025 (2018); translation from Differ. Uravn. 54, No. 8, 1018-1043 (2018).
Summary: A sufficiently general class of diffeomorphisms of the annulus (the direct product of a ball in \(\mathbb{R}^{k}\), \(k\geq 2\), by an \(m\)-dimensional torus) is studied. The so-called annulus principle, i.e., a set of sufficient conditions under which the diffeomorphisms of the class under study have a mixing hyperbolic attractor, is obtained.
MSC:
| 37C05 | Dynamical systems involving smooth mappings and diffeomorphisms |
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
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