Buried Sierpinski curve Julia sets

Robert L. Devaney; Daniel M. Look

doi:10.3934/dcds.2005.13.1035

Article Contents

2005, Volume 13, Issue 4: 1035-1046. Doi: 10.3934/dcds.2005.13.1035

This issue Previous Article Robustness of asymptotic stability to small time delays Next Article Periodic points of holomorphic twist maps

Buried Sierpinski curve Julia sets

Robert L. Devaney^1, and
Daniel M. Look^1,

1.
Department of Mathematics, Boston University, Boston, MA 02215

Received: August 31, 2004

Revised: February 28, 2005

Published: June 2005

Abstract Related Papers Cited by

Abstract

In this paper we prove the existence of a new type of Sierpinski curve Julia set for certain families of rational maps of the complex plane. In these families, the complementary domains consist of open sets that are preimages of the basin at $\infty$ as well as preimages of other basins of attracting cycles.

Keywords:

Mathematics Subject Classification: Primary: 37F45; Secondary: 37F20.

Citation:

Article Metrics

HTML views() PDF downloads(75) Cited by(0)

Buried Sierpinski curve Julia sets

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Buried Sierpinski curve Julia sets

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content