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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 4, Pages 60–71
DOI: https://doi.org/10.4213/faa2925 (Mi faa2925) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Diffeomorphisms with Intermingled Attracting Basins

Yu. S. Ilyashenkoabcd

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Steklov Mathematical Institute, Russian Academy of Sciences
c Independent University of Moscow
d Cornell University
Full-text PDF (240 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa2925
Abstract: We construct a diffeomorphism $F$ of a manifold with boundary into itself with the following property. The attractor of $F$ has two components, and the attracting basins of these components are dense in the phase space and have positive measure. We prove that the class of examples constructed in the paper has codimension infinity in the space of all diffeomorphisms of the same manifold.
Keywords: attractor of a diffeomorphism, intermingled basin, skew product, codimension infinity.
Received: 31.01.2008
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 4, Pages 298–307
DOI: https://doi.org/10.1007/s10688-008-0043-1
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. S. Ilyashenko, “Diffeomorphisms with Intermingled Attracting Basins”, Funktsional. Anal. i Prilozhen., 42:4 (2008), 60–71; Funct. Anal. Appl., 42:4 (2008), 298–307
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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