Universal functions for the Sharkovsky classes of maps

Autor:	Kannan, V., Mandal, Pabitra Narayan
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 37E15 26A18 37C25
Druh dokumentu:	Working Paper
Popis:	We exhibit a single interval map (called universal map) that admits all those orbit patterns which are available in the first Sharkovsky class. An interval map is said to be in the first Sharkovsky class if every periodic point of it is a fixed point. This provides a way to find universal maps in the class of contractions on interval. We also characterize all such universal maps in the first Sharkovsky class. Comment: All suggestions are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.10647 Zobrazit plný text záznamu View this record from Arxiv