Skip to main content
SpringerLink
Log in

Proprietes de genericite des transformations canoniques

  • Conference paper
  • First Online:
Geometric Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1007))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. A.D. BRJUNO "Analytical form of differential equations" Transactions of the Moscow mathematical society t 25 p 131–288 (1971).

    MathSciNet  Google Scholar 

  2. F. BRUHAT Séminaire Bourbaki, 13ém année no 217 p 1–18 (1960–61).

    Google Scholar 

  3. J.P. FRANÇOISE "Points périodiques des transformations canoniques" Comptes rendus à l'académie des Sciences de Paris t 286 p 1215–1217 (1978).

    MATH  Google Scholar 

  4. J. MOSER "Proof of a generalized form of a fixed points theorem" p 464–495 Geometry and Topology — Rio de Janeiro July 1976 Lect. Notes in maths. no 597.

    Google Scholar 

  5. J. MOSER "Non existence of Integrals" Comm. Pure and Apply. Math. Vol. 8 (1955) p 409–436.

    Article  MATH  Google Scholar 

  6. J. MÖSER and W. KYNER Mem. of Ann. Math. Soc. nr 81 (1968).

    Google Scholar 

  7. H. RÜSSMANN "Über die Existenz einer Normal form inhaltstreuer elliptisher Transformationen" Math. Annalen Bd 137 p 64–77 (1969).

    Article  MATH  Google Scholar 

  8. H. RÜSSMANN "On the convergence of power series transformations of analytic mappings near a fixed point into a normal form" Preprint of IHES, June 1977.

    Google Scholar 

  9. C.L. SIEGEL "Über die Existenz einer Normal form analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichzewischtslösung" Math. Ann. 128 p 144–170 (1954).

    Article  MathSciNet  MATH  Google Scholar 

  10. S. STERNBERG "Infinite Lie groups and the formal aspects of Dynamics" Journal of Math. and Mechanics vol 10 no 3 p 451–476 (1961).

    MathSciNet  MATH  Google Scholar 

  11. S. STERNBERG "The structure of local homeomorphisms III" Amer. Journal of Mathematics t 81 p 578–604 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  12. J. VEY "Orbites périodiques d'un système hamiltonien au voisinage d'un point d'équilibre" Annali della Scuola Normale Superiore di Pisa, Serie IV vol V no 4 p 757–787 (1978).

    MathSciNet  MATH  Google Scholar 

  13. E. ZEHNDER "Generalized implicit function theorem with applications to some small divisor problems I" Comm. Pure Appl. Math. vol 28 p 91–140 (1975).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut Fourier, B.P. 116, 38402, Saint Martin d'Héres, France

    Jean-Pierre Françoise

  2. Instituto de Matemática Pura e Aplicada (IMPA), Rua Luiz de Camões, 68, 20.060, Rio de Janeiro, Brasil

    Jean-Pierre Françoise

Authors
  1. Jean-Pierre Françoise
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Palis Jr.

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Françoise, JP. (1983). Proprietes de genericite des transformations canoniques. In: Palis, J. (eds) Geometric Dynamics. Lecture Notes in Mathematics, vol 1007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061418

Download citation

  • DOI: https://doi.org/10.1007/BFb0061418

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12336-1

  • Online ISBN: 978-3-540-40969-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation