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On Connectivity of Fatou Components concerning a Family of Rational Maps
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
I.
N.
Baker established the existence of Fatou component with any given finite connectivity by the method of quasi-conformal surgery.
M.
Shishikura suggested giving an explicit rational map which has a Fatou component with finite connectivity greater than 2.
In this paper, considering a family of rational maps Rz,t that A.
F.
Beardon proposed, we prove that Rz,t has Fatou components with connectivities 3 and 5 for any t∈0,1/12.
Furthermore, there exists t∈0,1/12 such that Rz,t has Fatou components with connectivity nine.
American Psychological Association (APA)
Gao, Junyang& Liu, Gang. 2014. On Connectivity of Fatou Components concerning a Family of Rational Maps. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014355
Modern Language Association (MLA)
Gao, Junyang& Liu, Gang. On Connectivity of Fatou Components concerning a Family of Rational Maps. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014355
American Medical Association (AMA)
Gao, Junyang& Liu, Gang. On Connectivity of Fatou Components concerning a Family of Rational Maps. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014355
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014355