Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T09:57:45.383Z 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)
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)