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An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z+1z).
- 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 :
- *CARPETS
Subjects
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