Skip to main content

Quasi-homogeneous vector fields of degree 2 in ℝ3

  • 995 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1331)

Keywords

  • Vector Field
  • Closed Orbit
  • Saddle Connection
  • Hyperbolic Orbit
  • Bare Center

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.A. Andronov, E.A. Leontovich, J.I. Gordon and A.G. Maier., Theory of birturcations of dynamic system on a plane, Program for Scientific Translations, Jerusalem 1971, pp. 377–401.

    Google Scholar 

  2. M.I. Camacho, Geometric properties of homogeneous vector fields of degree two in ℝ3, Transactions of the American Mathematical Society, vol. 268, 1, 1981, pp. 79–101.

    MathSciNet  MATH  Google Scholar 

  3. J. Bendixson., Sur les courbes définies par des équations différentielles, Acta Math. 24 (1901), pp. 1–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. Palis, S. Smale., Structural stability theorems, Global Analysis, Proc. Symp. Pure Math. vol. 14, Amer. Math. Soc., Providence, R.I. 1970, pp. 223–231.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J. Sotomayor., Estabilidade Estrutural de la. ordem e variedades de Banach, Tese, IMPA, 1964.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Camacho, M.I. (1988). Quasi-homogeneous vector fields of degree 2 in ℝ3 . In: Bamón, R., Labarca, R., Palis, J. (eds) Dynamical Systems Valparaiso 1986. Lecture Notes in Mathematics, vol 1331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083064

Download citation

  • DOI: https://doi.org/10.1007/BFb0083064

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50016-2

  • Online ISBN: 978-3-540-45889-0

  • eBook Packages: Springer Book Archive