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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 2-3, Pages 328–334
DOI: https://doi.org/10.1134/S1560354710020188 (Mi rcd498) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the 75th birthday of Professor L.P. Shilnikov

Thick attractors of step skew products

Yu. Ilyashenkoab

a V.A. Steklov Mathematical Institute, RAS, Gubkina str. 8, Moscow, 119991 Russia
b Cornell University, 310 Malott Hall, Ithaca, NY 14853-4201, USA
Citations (14)
DOI: https://doi.org/10.1134/S1560354710020188
Abstract: A diffeomorphism is said to have a thick attractor provided that its Milnor attractor has positive but not full Lebesgue measure. We prove that there exists an open set in the space of boundary preserving step skew products with a fiber [0,1], such that any map in this set has a thick attractor.
Keywords: Milnor attractors, thick attractors, ergodicity.
Received: 16.11.2009
Accepted: 04.12.2009
Bibliographic databases:
Document Type: Personalia
MSC: 37Cxx
Language: English
Citation: Yu. Ilyashenko, “Thick attractors of step skew products”, Regul. Chaotic Dyn., 15:2-3 (2010), 328–334
Citation in format AMSBIB
\Bibitem{Ily10}
\by Yu. Ilyashenko
\paper Thick attractors of step skew products
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 2-3
\pages 328--334
\mathnet{http://mi.mathnet.ru/rcd498}
\crossref{https://doi.org/10.1134/S1560354710020188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2644340}
\zmath{https://zbmath.org/?q=an:1225.37033}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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