On the Finiteness of Attractors for piecewise $C^2$ Maps of the Interval

Autor:	Brandão, Paulo, Palis, Jacob, Pinheiro, Vilton
Rok vydání:	2015
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We consider piecewise $C^2$ non-flat maps of the interval and show that, for Lebesgue almost every point, its omega-limit set is either a periodic orbit, a cycle of intervals or the closure of the orbits of a subset of the critical points. In particular, every piecewise $C^2$ non-flat map of the interval displays only a finite number of non-periodic attractors. Comment: 18 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.00276 Zobrazit plný text záznamu View this record from Arxiv