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A GENERALIZED VERSION OF THE MCMULLEN DOMAIN.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Aug2008, Vol. 18 Issue 8, p2309-2318. 10p. 4 Color Photographs, 1 Diagram. - Publication Year :
- 2008
-
Abstract
- We study the family of complex maps given by Fλ(z) = zn + λ/zn + c where n ≥ 3 is an integer, λ is an arbitrarily small complex parameter, and c is chosen to be the center of a hyperbolic component of the corresponding Multibrot set. We focus on the structure of the Julia set for a map of this form generalizing a result of McMullen. We prove that it consists of a countable collection of Cantor sets of closed curves and an uncountable number of point components. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 18
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 36570175
- Full Text :
- https://doi.org/10.1142/S0218127408021725