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

2014/02/18 by Romain Aimino, Hengnan Hu, Aimino, R. +6 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.1402.4399

openalex publication_date 2014/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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