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Russian Mathematical Surveys, 1971, Volume 26, Issue 2, Pages 29–43
DOI: https://doi.org/10.1070/RM1971v026n02ABEH003827 (Mi rm5187) 		 
This article is cited in 256 scientific papers (total in 257 papers)

On matrices depending on parameters

V. I. Arnol'd
English version PDF (818 kB) Citations (257) Russian version article
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DOI: https://doi.org/10.1070/RM1971v026n02ABEH003827
Abstract: Given a family of matrices smoothly depending on parameters of endomorphisms of a complex linear space, it is shown that there is a normal form to which the family can be reduced by the choice of a base smoothly depending on the parameters. The formulae obtained are applied to the investigation of bifurcation diagrams of families of matrices.
Bibliographic databases:
Document Type: Article
UDC: 512.83
MSC: 32A10, 32A38, 22E60
Language: English
Original paper language: Russian
Citation: V. I. Arnol'd, “On matrices depending on parameters”, Russian Math. Surveys, 26:2 (1971), 29–43
Citation in format AMSBIB
\Bibitem{Arn71}
\by V.~I.~Arnol'd
\paper On matrices depending on parameters
\jour Russian Math. Surveys
\yr 1971
\vol 26
\issue 2
\pages 29--43
\mathnet{http://mi.mathnet.ru//eng/rm5187}
\crossref{https://doi.org/10.1070/RM1971v026n02ABEH003827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301242}
\zmath{https://zbmath.org/?q=an:0259.15011}
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  • https://doi.org/10.1070/RM1971v026n02ABEH003827
  • https://www.mathnet.ru/eng/rm/v26/i2/p101
    • This publication is cited in the following 257 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:2362
    Russian version PDF:1183
    English version PDF:83
    References:128
    First page:7
     
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