Sharkovsky's Ordering in the Mandelbrot Set

Fuente: arXiv
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Autor principal: Zheng, Reila
Formato: Preprint
Publicado: 2025
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author Zheng, Reila
author_facet Zheng, Reila
contents Sharkovsky's ordering describes orbit forcing of interval maps, and generalizations of Sharkovsky's ordering exist for maps of trees. In this paper I will describe Sharkovsky's ordering and analogous orderings for trees, and their occurrence on the Mandelbrot set.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06163
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sharkovsky's Ordering in the Mandelbrot Set
Zheng, Reila
Combinatorics
Dynamical Systems
Sharkovsky's ordering describes orbit forcing of interval maps, and generalizations of Sharkovsky's ordering exist for maps of trees. In this paper I will describe Sharkovsky's ordering and analogous orderings for trees, and their occurrence on the Mandelbrot set.
title Sharkovsky's Ordering in the Mandelbrot Set
topic Combinatorics
Dynamical Systems
url https://arxiv.org/abs/2506.06163