Skip to main content
SpringerLink
Log in

Codimension One Bifurcation of 2-Dimensional Tori Born from an Equilibrium Family in Systems with Cosymmetry

  • Published:
Mathematical Notes 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

REFERENCES

  1. L. G. Kurakin and V. I. Yudovich, Mat. Zametki [Math. Notes], 66 (1999), no. 2, 317–320.

    Google Scholar 

  2. L. G. Kurakin and V. I. Yudovich, Chaos 10 (2000), no. 2, 311–331.

    Google Scholar 

  3. L. G. Kurakin and V. I. Yudovich, Dokl. Ross. Akad. Nauk [Russian Acad. Sci. Dokl. Math.], 372 (2000), no. 1, 29–33.

    Google Scholar 

  4. V. I. Arnol'd et al., Bifurcation Theory and Catastrophe Theory, Dynamical Systems V. Encyclopedia Math. Sci. 5, Springer-Verlag, (1994), Berlin.

    Google Scholar 

  5. J. Guckenheimer, SIAM J. Math. Anal. 15 (1984), no. 1, 1–49.

    Google Scholar 

  6. G. Iooss, Bifurcation of Maps and Applications. North-Holland Mathematics Studies no. 36, North-Holland, Amsterdam–New York–Oxford, 1979.

  7. R. J. Sacker, “On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations,”New York Univ.IMM-NYU (1964), no. 333.

  8. O. Ruelle and F. Takens, Comm. Math. Phys. 20 (1971), 167–192.

    Google Scholar 

  9. H. Zoladek, Uspekhi Mat. Nauk [Russian Math. Surveys], 41 (1986), no. 5(251), 175–176.

    Google Scholar 

  10. R. Jost and E. Zender, Helvetica Physica Acta 45 (1972), 258–276.

    Google Scholar 

  11. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR [Soviet Math. Dokl.], 98 (1954), no. 4, 527–530.

    Google Scholar 

  12. M. Herman, Mesure de Lebesgue et nombre de rotation. Geometry and topology. Lecture Notes in Matematics vol. 597, Springer-Verlag, New York, 1977, pp. 271–293.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Rostov State University, Russia

    L. G. Kurakin & V. I. Yudovich

Authors
  1. L. G. Kurakin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Yudovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kurakin, L.G., Yudovich, V.I. Codimension One Bifurcation of 2-Dimensional Tori Born from an Equilibrium Family in Systems with Cosymmetry. Mathematical Notes 73, 751–755 (2003). https://doi.org/10.1023/A:1024085326700

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024085326700

Search

Navigation