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An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z+1z).

Authors :
Look, Daniel M.
Source :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2022, Vol. 32 Issue 3, p1-9. 9p.
Publication Year :
2022

Abstract

We prove that there is a sequence of purely imaginary parameter values λ n converging to 0 such that the Julia set for z ↦ λ n (z + 1 / z) is homeomorphic to the Sierpiński carpet fractal; however, for any distinct pair of such parameter values, the dynamics of the map restricted to the Julia set are not conjugate. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CARPETS

Details

Language :
English
ISSN :
02181274
Volume :
32
Issue :
3
Database :
Academic Search Index
Journal :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
155731067
Full Text :
https://doi.org/10.1142/S0218127422500377