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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 3, Pages 73–76
DOI: https://doi.org/10.4213/faa2997 (Mi faa2997) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Brief communications

Bony Attractors

Yu. G. Kudryashovabc

a M. V. Lomonosov Moscow State University
b Independent University of Moscow
c Ecolé Normale Supériore de Lyon
Full-text PDF (153 kB) Citations (20)
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DOI: https://doi.org/10.4213/faa2997
Abstract: A new possible geometry of an attractor of a dynamical system, a bony attractor, is described. A bony attractor is the union of two parts. The first part is the graph of a continuous function defined on a subset of $\Sigma^k$, the set of bi-infinite sequences of integers $m$ in the range $0\le m<k$. The second part is the union of uncountably many intervals contained in the closure of the graph. An open set of skew products over the Bernoulli shift $(\sigma\omega)_i=\omega_{i+1}$ with fiber $[0,1]$ is constructed such that each system in this set has a bony attractor.
Keywords: attractor, dynamical system, skew product, Bernoulli shift.
Received: 13.07.2009
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 3, Pages 219–222
DOI: https://doi.org/10.1007/s10688-010-0028-8
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: Yu. G. Kudryashov, “Bony Attractors”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 73–76; Funct. Anal. Appl., 44:3 (2010), 219–222
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:53
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