# American Institute of Mathematical Sciences

March  2015, 35(3): 793-806. doi: 10.3934/dcds.2015.35.793

## Polynomial loss of memory for maps of the interval with a neutral fixed point

 1 Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France, France 2 Department of Mathematics, Michigan State University, East Lansing, MI 48824 3 Department of Mathematics, University of Houston, Houston, TX 77204-3008

Received  February 2014 Revised  June 2014 Published  October 2014

We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any sequence, and the bound holds for all compositions.
Citation: Romain Aimino, Huyi Hu, Matthew Nicol, Andrei Török, Sandro Vaienti. Polynomial loss of memory for maps of the interval with a neutral fixed point. Discrete & Continuous Dynamical Systems - A, 2015, 35 (3) : 793-806. doi: 10.3934/dcds.2015.35.793
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