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On the realization of the generalized solenoid as a hyperbolic attractor of sphere diffeomorphisms

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Abstract

Sufficient conditions for a generalized solenoid to be realized as a hyperbolic attractor of sphere diffeomorphisms are obtained. The main theorem and its corollaries allow one to construct examples of attractors with various properties.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    A. G. Fedotov

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  1. A. G. Fedotov
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Correspondence to A. G. Fedotov.

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Original Russian Text © A. G. Fedotov, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 5, pp. 733–744.

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Fedotov, A.G. On the realization of the generalized solenoid as a hyperbolic attractor of sphere diffeomorphisms. Math Notes 94, 681–691 (2013). https://doi.org/10.1134/S0001434613110096

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