Sierpinski carpets as Julia sets for imaginary 3-circle inversions

The dynamics of the map is investigated for . This map is derived from multiple geometric circle inversions. Conditions are given for Cantor set and Sierpinski curve Julia sets for this family.

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Bibliographic Details
Published in:Journal of difference equations and applications 2010-05, Vol.16 (5-6), p.705-713
Main Author: Look, Daniel M.
Format: Article
Language:English
Subjects:
Carpets
circle inversion
Circles (geometry)
complex dynamics
Complex systems
Difference equations
Dynamic tests
Dynamics
Geometry
Inversions
Julia set
Mathematical functions
Primary: 37F10
Secondary 37F45
Topology
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Description
Summary:The dynamics of the map is investigated for . This map is derived from multiple geometric circle inversions. Conditions are given for Cantor set and Sierpinski curve Julia sets for this family.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190903203911