On the preimages of parabolic periodic points

Authors
Qiao, JY
Citation
Jy. Qiao, On the preimages of parabolic periodic points, NONLINEARIT, 13(3), 2000, pp. 813-818
Citations number
6
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
13
Issue
3
Year of publication
2000
Pages
813 - 818
Database
ISI
SICI code
0951-7715(200005)13:3<813:OTPOPP>2.0.ZU;2-G
Abstract
We characterize the preimages of parabolic periodic points in the family of rational functions for which the Julia set does not lie on a smooth Jordan curve and does not contain any recurrent critical point.