Skip to main content
SpringerLink
Log in

Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem

  • Published:
Functional Analysis and Its Applications Aims and scope

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. J. Guckenheimer, "Hartman's theorem for complex flows in the Poincaré domain," Compositio Math.,24, No. 1, 75–82 (1972).

    Google Scholar 

  2. C. L. Siegel, "On the normal form of analytic differential equations in a neighborhood of an equilibrium position," Matematika (Periodic Collection of Foreign Articles [in Russian]),5, No. 2, 119–128 (1961).

    Google Scholar 

  3. Yu. S. Il'yashenko, "Topology of phase portraits of analytic differential equations on a complex projective plane," Proceedings of the I. G. Petrovskii Seminar [in Russian], No. 6 (1968).

  4. Yu. S. Il'yashenko, "Foliations on analytic curves," Mat. Sb.,88, 558–577 (1972).

    Google Scholar 

  5. N. N. Ladis, "Topological equivalence of hyperbolic linear systems," Differents. Uravn.,13, No. 2, 255–265 (1977).

    Google Scholar 

  6. N. N. Ladis, "Topological invariants of complex linear flows," Differents. Uravn.,12, No. 12, 2159–2169 (1976).

    Google Scholar 

  7. A. S. Pyartli, "Generation of complex invariant varieties close to a singular point of a vector field depending on a parameter," Funkts. Anal. Prilozhen.,6, No. 4, 95–96 (1972).

    Google Scholar 

Download references

Authors
  1. Yu. S. Il'yashenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 2, pp. 28–38, April–June, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Il'yashenko, Y.S. Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem. Funct Anal Its Appl 11, 105–113 (1977). https://doi.org/10.1007/BF01081888

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01081888

Keywords

Search

Navigation