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Matematicheskie Zametki, 1973, Volume 14, Issue 5, Pages 687–696 (Mi mzm9953)  

This article is cited in 4 scientific papers (total in 4 papers)

Three-dimensional dynamic systems with noncoarse homoclinical contours

N. K. Gavrilov

Scientific-Research Institute of Applied Mathematics and Cybernetics, Gor'kii State University
Abstract: The paper deals with bifurcations of dynamic systems having noncoarse homoclinical contours. Cases are singled out when the bifurcation surface corresponding to the appearance of a noncoarse homoclinical contour can separate a Morse–Smiley system from a system with a countable set of periodic motions. An example is adduced of the existence of a countable set of stable periodic motions.
Received: 29.06.1973
English version:
Mathematical Notes, 1973, Volume 14, Issue 5, Pages 953–957
DOI: https://doi.org/10.1007/BF01462256
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. K. Gavrilov, “Three-dimensional dynamic systems with noncoarse homoclinical contours”, Mat. Zametki, 14:5 (1973), 687–696; Math. Notes, 14:5 (1973), 953–957
Citation in format AMSBIB
\Bibitem{Gav73}
\by N.~K.~Gavrilov
\paper Three-dimensional dynamic systems with noncoarse homoclinical contours
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 5
\pages 687--696
\mathnet{http://mi.mathnet.ru/mzm9953}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=339286}
\zmath{https://zbmath.org/?q=an:0351.58004}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 5
\pages 953--957
\crossref{https://doi.org/10.1007/BF01462256}
Linking options:
  • https://www.mathnet.ru/eng/mzm9953
  • https://www.mathnet.ru/eng/mzm/v14/i5/p687
  • This publication is cited in the following 4 articles:
    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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