Hostname: page-component-74656f9884-8r8nv Total loading time: 0 Render date: 2026-11-09T22:24:51.131Z Has data issue: false hasContentIssue false
  • English
  • Français

Bifurcation to an entire function

Published online by Cambridge University Press:  20 June 2003

R. R. BHATTACHARJEE
R. R. BHATTACHARJEE
Affiliation:
Department of Mathematics, Boston University, Boston, MA 02215, USA (e-mail: ranjit@math.bu.edu)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

In this paper we will consider a bifurcation that occurs in the topology of the Julia set of meromorphic maps as they become entire. For some meromorphic maps the Julia set will be a Cantor set. We will investigate how the Julia set changes as these meromorphic maps approach the entire function whose Julia set is a Cantor bouquet. Other meromorphic maps have a Julia set that is a Jordan curve. Again we will study how this curve changes as these meromorphic maps approach the entire function whose Julia set is a Cantor bouquet.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 3 , June 2003 , pp. 693 - 705
Copyright
2003 Cambridge University Press