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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)
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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.
Russian version:
Uspekhi Matematicheskikh Nauk, 1971, Volume 26, Issue 2(158), Pages 101–114
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”, Uspekhi Mat. Nauk, 26:2(158) (1971), 101–114; 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 Uspekhi Mat. Nauk
\yr 1971
\vol 26
\issue 2(158)
\pages 101--114
\mathnet{http://mi.mathnet.ru/rm5187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301242}
\zmath{https://zbmath.org/?q=an:0259.15011}
\transl
\jour Russian Math. Surveys
\yr 1971
\vol 26
\issue 2
\pages 29--43
\crossref{https://doi.org/10.1070/RM1971v026n02ABEH003827}
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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:2322
    Russian version PDF:1163
    English version PDF:72
    References:126
    First page:7
     
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