Skip to main content
SpringerLink
Log in

Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three

  • Contributed Papers
  • Conference paper
  • First Online:
Dynamical Systems and Turbulence, Warwick 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 898))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abraham, R., & Marsden, J.E. Foundations of mechanics, Benjamin/Cummings 1978.

    Google Scholar 

  2. Arnold, V.I., Méthodes mathématiques de la mécanique classique, MIR 1976.

    Google Scholar 

  3. Arnold, V.I., Lectures on bifurcations and versal families, Russian Math. Surveys 27, 54–123 (1972).

    Article  ADS  MathSciNet  Google Scholar 

  4. Arnold, V.I., & Avez, A., Problèmes ergodiques de la mécanique classique, Gauthier-Villars 1967.

    Google Scholar 

  5. Broer, H.W., Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case. This volume.

    Google Scholar 

  6. Broer, H.W., Bifurcations of singularities in volume preserving vector fields. Ph.D. thesis, Groningen 1979.

    Google Scholar 

  7. Moser, J., Lectures on Hamiltonian systems, Memoirs of the AMS. 81 (1968).

    Google Scholar 

  8. Rüssmann, H., Über invariante Kurven differentierbarer Abbildungen eines Kreisringes, Nachr. Akad. Wiss., Gottingen II, Math. Phys. Kl., 67–105 (1970).

    Google Scholar 

  9. Schneider, Th., Einführung in die transzendenten Zahlen, Springer 1957.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Groningen University, P. O. Box 800, 9700 AV, Groningen, The Netherlands

    Henk Broer

Authors
  1. Henk Broer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

David Rand Lai-Sang Young

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Broer, H. (1981). Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091908

Download citation

  • DOI: https://doi.org/10.1007/BFb0091908

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation