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

Romain Aimino | Zendy; Huyi Hu | Zendy; Matthew Nicol | Zendy; Andrei Török | Zendy; Sandro Vaienti | Zendy

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

Author(s) -

Romain Aimino,

Huyi Hu,

Matthew Nicol,

Andrei Török,

Sandro Vaienti

Publication year - 2014

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2015.35.793

Subject(s) - interval (graph theory) , polynomial , sequence (biology) , mathematics , upper and lower bounds , point (geometry) , fixed point , type (biology) , combinatorics , discrete mathematics , mathematical analysis , geometry , chemistry , ecology , biochemistry , biology

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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