Skip to main content
SpringerLink
Log in

Principal term of the monodromy transformation of a monodromic singular point is linear

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. V. I. Arnol'd and Yu. S. Il'yashenko, “Ordinary differential equations. 1,” in: Contemporary Problems of Mathematics. Fundamental Trends [in Russian], Vol. 1, VINITI, Moscow (1986), pp. 7–149 (Progress in Science and Technology).

    Google Scholar 

  2. H. Dulac, “Sur les cycles limites,” Bull. Soc. Math. France,51, 45–188 (1923).

    MATH  MathSciNet  Google Scholar 

  3. Yu. S. Il'yashenko, “On Dulac's memoir ‘On limit cycles,’ and connected problems of the local theory of differential equations,” Usp. Mat. Nauk,40, No. 5, 41–78 (1985).

    MathSciNet  Google Scholar 

  4. N. B. Medvedeva, “The first focal quantity of the complex monodromy of a singular point,” in: Proceedings of I. P. Petrovskii's Seminar [in Russian], No. 13, Izd. Mosk. Gos. Univ., Moscow (1988), pp. 106–122.

    Google Scholar 

  5. F. S. Berezovskaya and N. B. Medvedeva, “On distinguishing the center and the focus for vector fields with fixed Newton diagram,” Usp. Mat. Nauk,41, No. 4, 198–199 (1986).

    Google Scholar 

  6. A. P. Sadovskii, “On the problem of distinguishing the center and the focus for the case of a complex singular point,” Differents. Uravn.,22, No. 5, 789–794 (1986).

    MathSciNet  Google Scholar 

  7. V. I. Arnol'd, Supplementary Chapters of the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).

    MATH  Google Scholar 

  8. I. Bendixson, “Sur les courbes définies par des equation differentielles,” Acta Math.,24, 1–88 (1901).

    Article  MathSciNet  Google Scholar 

  9. F. Dumortier, “Singularities of vector fields on the plane,” J. Different. Equat.,23, 53–106 (1977).

    Article  MATH  MathSciNet  Google Scholar 

  10. V. S. Samovol, “On the linearization of a system of differential equations in the neighborhood of a singular point,” Dokl. Akad. Nauk SSSR,206, No. 3, 545–548 (1972).

    MathSciNet  Google Scholar 

Download references

Authors
  1. N. B. Medvedeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Chelyabinsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 116–124, March–April, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Medvedeva, N.B. Principal term of the monodromy transformation of a monodromic singular point is linear. Sib Math J 33, 280–288 (1992). https://doi.org/10.1007/BF00971099

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971099

Search

Navigation