Skip to main content

On the Non-Linearizability of Analytic Germs and Irrationally Indifferent Fixed Points

  • Chapter
Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 8))

  • 339 Accesses

Abstract

This article is a survey of the author’s results about the non-linearizability of analytic germs and polynomials at irrationally indifferent fixed points.

Partially supported by JSPS Research Fellowships for Young Scientists.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Brjuno, A. D. Analytical form of differential equations, Trans. Moscow Math. Soc., 25(1971), 199–239.

    MathSciNet  Google Scholar 

  2. Cremer, H. Zum Zentrumproblem, Math. Ann., 98 (1928), 151–163.

    Article  MathSciNet  Google Scholar 

  3. Milnor, J. Dynamics in one complex variable, Vieweg (1999).

    Google Scholar 

  4. Okuyama, Y. Non-linearizability of cubic-perturbed analytic germs at irrationally indifferent fixed points, preprint.

    Google Scholar 

  5. Okuyama, Y. Rotation numbers of Siegel disks and Teichmüller spaces of rational maps, in preparation.

    Google Scholar 

  6. Okuyama, Y. Non-Linearizability of Polynomials at Irrationally Indifferent Fixed Points, Kodai Math. J., 22(1999), 56–65.

    Article  MathSciNet  MATH  Google Scholar 

  7. Tortrat, P. Aspects potentialistes de l’itération des polynomials, Séminaire de Théorie du Potentiel, Paris, No. 8, Lecture Note in Math., 1235(1987), 195–209.

    Article  MathSciNet  Google Scholar 

  8. Yoccoz, J.-C. Thèorém de Siegel, nombres de Bruno et polynômes quadratiques, Astérisque, 231(1996), 3–88.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Okuyama, Y. (2000). On the Non-Linearizability of Analytic Germs and Irrationally Indifferent Fixed Points. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_33

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0271-1_33

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7971-3

  • Online ISBN: 978-1-4613-0271-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics