Abstract
A sufficiently general class of diffeomorphisms of the annulus (the direct product of a ball in \(\mathbb{R}^{k}\), k ≥ 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.
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Original Russian Text © S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 8, pp. 1018–1043.
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Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. On a Version of the Hyperbolic Annulus Principle. Diff Equat 54, 1000–1025 (2018). https://doi.org/10.1134/S0012266118080025
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DOI: https://doi.org/10.1134/S0012266118080025