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Matematicheskie Zametki, 2001, Volume 69, Issue 1, Pages 3–17
DOI: https://doi.org/10.4213/mzm479 (Mi mzm479) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Bifurcation of Invariant Tori of Codimension One

V. V. Basov

St. Petersburg State University, Research Institute of Mathematics and Mechanics
Full-text PDF (237 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm479
Abstract: We propose a method for constructing classes of real systems of differential equations of order $2^d$ ($d\ge1$), including polynomial systems, in which for all sufficiently small positive values of the parameter a bifurcation from the point of equilibrium to invariant tori of dimension $2^d-1$ occurs.
Received: 20.04.1999
Revised: 04.07.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 1, Pages 3–16
DOI: https://doi.org/10.1023/A:1002888709793
Bibliographic databases:
UDC: 517.925
Language: Russian
Citation: V. V. Basov, “Bifurcation of Invariant Tori of Codimension One”, Mat. Zametki, 69:1 (2001), 3–17; Math. Notes, 69:1 (2001), 3–16
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\pages 3--16
\crossref{https://doi.org/10.1023/A:1002888709793}
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  • https://www.mathnet.ru/eng/mzm479
  • https://doi.org/10.4213/mzm479
  • https://www.mathnet.ru/eng/mzm/v69/i1/p3
    • This publication is cited in the following 2 articles:
    1. Basov V.V. Zhukov A.S., “Invariant Surfaces of Periodic Systems With Conservative Cubic First Approximation”, Vestn. St Petersb. Univ.-Math., 52:3 (2019), 244–258  crossref  mathscinet  isi  scopus
    2. V. V. Basov, “Bifurcation of the Point of Equilibrium in Systems with Zero Roots of the Characteristic Equation”, Math. Notes, 75:3 (2004), 297–314  mathnet  crossref  crossref  mathscinet  zmath  isi
    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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