Skip to main content

Hénon Mapping of Complex N-Space in Complex N-Space

  • Chapter
Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 7))

  • 464 Accesses

Abstract

In C 2, Steven G. Krantz[3] constructed the Fatou-Bieberbach domain. In this talk, we construct the Fatou-Bieberbach domain in C n. The method of Proof is similar to Krantz[3]. Also, we paint complex one dimensinal sections of the Fatou-Bieberbach domain in C 3.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Y. Fukushima, On a complex Hénon mapping fron C 3 to C 3, Proceeding of the fifth international colloquium on finite and infinite dimensinal complex analysis, 67–72(1997).

    Google Scholar 

  2. Y. Fukushima, T. Sasaki and R. Tsukamoto., Computer graphics by complex Hénon mapping from C 2 to C 2, Proceeding of the fourth international colloquium of finite or infinite dimensional complex analysis, 115–120(1996).

    Google Scholar 

  3. Krantz S. G., Function theory of several complex variables, second edition, Wadsworth & Brooks/Cole Advanced Mathmatics Series, (1992).

    MATH  Google Scholar 

  4. T. Ueda, M. Taniguchi and S. Morosawa, Intoroduction of complex dynamical systems, (in Japanese), Baifuukan,(1995).

    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

Fukushima, Y. (2000). Hénon Mapping of Complex N-Space in Complex N-Space. 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 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_40

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0269-8_40

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7970-6

  • Online ISBN: 978-1-4613-0269-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics