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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 3, Pages 325–330
DOI: https://doi.org/10.1070/RD2002v007n03ABEH000214 (Mi rcd821) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations

S. P. Kuznetsova, A. H. Osbaldestinb

a Institute of Radio-Electronics, Russian Academy of Sciences, Zelenaya 38, Saratov 410019, Russian Federation
b Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK
Citations (2)
DOI: https://doi.org/10.1070/RD2002v007n03ABEH000214
Abstract: A method is suggested for the computation of the generalized dimensions of fractal attractors at the period-doubling transition to chaos. The approach is based on an eigenvalue problem formulated in terms of functional equations with coefficients expressed in terms of Feigenbaum's universal fixed-point function. The accuracy of the results depends only on the accuracy of the representation of the universal function.
Received: 27.04.2002
Bibliographic databases:
Document Type: Article
MSC: 58F08
Language: English
Citation: S. P. Kuznetsov, A. H. Osbaldestin, “Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations”, Regul. Chaotic Dyn., 7:3 (2002), 325–330
Citation in format AMSBIB
\Bibitem{KuzOsb02}
\by S. P. Kuznetsov, A. H. Osbaldestin
\paper Generalized Dimensions of Feigenbaum's Attractor from Renormalization-Group Functional Equations
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 3
\pages 325--330
\mathnet{http://mi.mathnet.ru/rcd821}
\crossref{https://doi.org/10.1070/RD2002v007n03ABEH000214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931722}
\zmath{https://zbmath.org/?q=an:1019.37022}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RCD.....7..325K}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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