Skip to main content

Developpement asymptotique de l'application retour d'un polycycle

  • Conference paper
  • First Online:
Dynamical Systems Valparaiso 1986

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

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

Bibliographie

  1. R. BAMON., Quadratic Vector Fields in the plane have a finite number of limit cycles. Public. Math. I.H.E.S., no 64.

    Google Scholar 

  2. R. BAMON, J.C. MARTIN RIVAS, R. MOUSSU., Sur le problème de Dulac. C.R. Acad. Sc. Paris, t. 503 Série I no 15, 1986, p. 737–739.

    MathSciNet  MATH  Google Scholar 

  3. H. DULAC., Sur les cycles limites, Bull. Soc. Math. France, 51, (1923), 45–118.

    MathSciNet  MATH  Google Scholar 

  4. F. DUMORTIER., Singularities of vector fields, J. of Diff. Eq., 23, 1, (1977)

    Google Scholar 

  5. J. ECALLE, J. MARTINET, R. MOUSSU, J.P. RAMIS, Non accumulation de cycles limites, A paraître au C.R. Acad. Sc. Paris.

    Google Scholar 

  6. YU. S. IL'YASENKO., The finitness problem for limit cycles of polynomial vector fields on the plane ..., Leningrad Int. Topo. Conf., abstracts, Nauka, Leningrad, (1982).

    Google Scholar 

  7. YU. S. IL'YASENKO., Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane, Funk. Anal. Ego. Pri., 18, 3, (1984), 32–34 (Func. Ana. and Appl., 18, 3, (1985), 199–209).

    MathSciNet  Google Scholar 

  8. J. MARTINET., Normalisation des champs de vecteurs holomorphes (d'après Bryuno), Séminaire Bourbaki, Expose 564, Nov. 1980, L.N. 901, Springer (1981), 55–70.

    Google Scholar 

  9. J. MARTINET, J.P. RAMIS., Problèmes de modules pour des équations différentielles non linéaires du premier ordre. Pub. Math. IHES, 55, (1982), 63–164.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. MARTINET, J.P. RAMIS., Classification analytique des équations différentielles non linéaires résonnantes du premier ordre. Ann. Sc. Ec. Norm. Sup., 4ème série, t:16, (1983), 571–625.

    MathSciNet  MATH  Google Scholar 

  11. J.F. MATTEI, R. MOUSSU., Holonomie et intégrales premières, Ann. Sc. Ec. Norm. Sup., 13, (1980), 469–523.

    MathSciNet  MATH  Google Scholar 

  12. R. MOUSSU., Le problème de la finitude du nombre de cycles limites, Séminaire Bourbaki, no 655, Nov. 1985.

    Google Scholar 

  13. R. ROUSSARIE., Modèles locaux de champs et de formes, Astérisque 30, (1975).

    Google Scholar 

  14. A. SEIDENBERG., Reduction of singularities of the differentiable equation Ady = Bdx, Amer. J. Math., (1968), 248–269.

    Google Scholar 

  15. S. STERNBERG., On the structure of local homeomorphisms of euclidean n-space II, Amer. J. Math, 80, (1958), 623–631.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Rodrigo Bamón Rafael Labarca Jacob Palis Jr.

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Moussu, R. (1988). Developpement asymptotique de l'application retour d'un polycycle. 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/BFb0083070

Download citation

  • DOI: https://doi.org/10.1007/BFb0083070

  • 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

Publish with us

Policies and ethics