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Matematicheskie Zametki, 2013, Volume 94, Issue 5, Pages 733–744
DOI: https://doi.org/10.4213/mzm10332 (Mi mzm10332) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms

A. G. Fedotov

Moscow State Institute of Electronics and Mathematics — Higher School of Economics
Full-text PDF (439 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10332
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.
Keywords: attractor, diffeomorphism, generalized solenoid.
Received: 28.05.2013
English version:
Mathematical Notes, 2013, Volume 94, Issue 5, Pages 681–691
DOI: https://doi.org/10.1134/S0001434613110096
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: A. G. Fedotov, “On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms”, Mat. Zametki, 94:5 (2013), 733–744; Math. Notes, 94:5 (2013), 681–691
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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