On the dynamics of the singularly perturbed rational maps

Authors
Ding, Lian Rong
Citation
Ding, Lian Rong, On the dynamics of the singularly perturbed rational maps, Acta mathematica Sinica. English series (Print) , 26(2), 2010, pp. 265-276
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
2
Year of publication
2010
Pages
265 - 276
Database
ACNP
SICI code
Abstract
In this paper, we study the dynamics of the family of rational maps f . (z) = z n + ./z m, n . 2, m . 1, . . .. We construct an example of buried Sierpinski curve Julia set in this family. We also give an estimate of the location of bifurcation locus of f . .