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Matematicheskie Zametki, 1973, Volume 14, Issue 6, Pages 833–842 (Mi mzm7302)  
This article is cited in 2 scientific papers (total in 3 papers)

The linearization of an autonomous system in the neighborhood of a “node”-type singular point

V. A. Kondratiev, V. S. Samovol

M. V. Lomonosov Moscow State University
Full-text PDF (536 kB) Citations (3)
Abstract: In the article we study the connection between the smoothness class of the diffeomorphism, linearizing an autonomous system of class $C^\infty$ in the neighborhood of a “node”-type singular point, and the form of the resonance relations between the roots of the matrix of the linear part. We establish sufficient conditions for the existence of the linearizing diffeomorphism from a fixed smoothness class.
Received: 23.02.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 6, Pages 1037–1042
DOI: https://doi.org/10.1007/BF01099588
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. A. Kondratiev, V. S. Samovol, “The linearization of an autonomous system in the neighborhood of a “node”-type singular point”, Mat. Zametki, 14:6 (1973), 833–842; Math. Notes, 14:6 (1973), 1037–1042
Citation in format AMSBIB
\Bibitem{KonSam73}
\by V.~A.~Kondratiev, V.~S.~Samovol
\paper The linearization of an autonomous system in the neighborhood of a~``node''-type singular point
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 833--842
\mathnet{http://mi.mathnet.ru/mzm7302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=338503}
\zmath{https://zbmath.org/?q=an:0302.34031}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 1037--1042
\crossref{https://doi.org/10.1007/BF01099588}
Linking options:
  • https://www.mathnet.ru/eng/mzm7302
  • https://www.mathnet.ru/eng/mzm/v14/i6/p833
    • This publication is cited in the following 3 articles:
    1. O. V. Besov, V. S. Vladimirov, V. V. Kozlov, S. M. Nikol'skii, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, “Vladimir Aleksandrovich Kondrat'ev (on his 70th birthday)”, Russian Math. Surveys, 61:6 (2006), 1189–1197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. V. A. Il'in, V. V. Kozlov, V. A. Sadovnichii, I. V. Astashova, A. A. Kon'kov, V. M. Millionshchikov, E. V. Radkevich, N. Kh. Rozov, A. V. Filinovskii, A. S. Shamaev, “Vladimir Aleksandrovich Kondrat'ev (A Tribute in Honor of His 70th Birthday)”, Differ. Equ., 41:7 (2005), 909–914  mathnet  mathnet  crossref
    3. G. R. Belitskii, “Equivalence and normal forms of germs of smooth mappings”, Russian Math. Surveys, 33:1 (1978), 107–177  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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