Skip to main content

Properties of invariant curves near a known invariant curve

  • 345 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1163)

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. Poincare, H.: "Les méthodes nouvelles de la méchanique céleste", Vol.I,II,III, Gauthiers-Villars, (1892, 1893, 1899).

    Google Scholar 

  2. Gumowski, I, Mira, C.: "Recurrences and discrete dynamic systems", LN in Math., Springer, no 809, Berlin, (1980).

    Google Scholar 

  3. Gumowski, I., Mira, C.: "Dynamique chaotique, transition ordre desordre", Cépadues, Toulouse, (1980).

    MATH  Google Scholar 

  4. Gumowski, I.: "Some relations between differential equations, recurrences and functional iterates", Actes, I.C.N.O., v.2, Naukova Dumka, Kiev, (1984), p.98–103.

    MathSciNet  Google Scholar 

  5. Lattes, S.: "Sur les équations fonctionnelles définissant une courbe ou une surface invariante par une transformation", Ann. di mathematica, serie 3, vol.13, (1906), p.1–69.

    CrossRef  MATH  Google Scholar 

  6. Zeipel, H.V.: "Recherche sur le mouvement des petites planètes", Arkiv. för Math., Astron., Physik, vol.11, no 1 et 7, (1916), p.1–58, et p.1–62.

    MATH  Google Scholar 

  7. Bogoliubov, N., Mitropolsky, I.: "Asymptotic methods in the theory of non linear oscillations", GOS. Izd. Fiz. Lit., Moscow, (1955).

    Google Scholar 

  8. Sabri, A.: "Etude des résonances paramétriques d'un système dynamique non linéaire à périodicité spatiale", Thèse U.P.S. no 2818, Toulouse (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Sabri, A. (1985). Properties of invariant curves near a known invariant curve. In: Liedl, R., Reich, L., Targonski, G. (eds) Iteration Theory and its Functional Equations. Lecture Notes in Mathematics, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076429

Download citation

  • DOI: https://doi.org/10.1007/BFb0076429

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16067-0

  • Online ISBN: 978-3-540-39749-6

  • eBook Packages: Springer Book Archive