The Manneville map: topological, metric and algorithmic entropy

Mathematics – Dynamical Systems

Scientific paper

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27 pages, 1 figure

Scientific paper

We study the Manneville map f(x)=x+x^z (mod 1), with z>1, from a
computational point of view, studying the behaviour of the Algorithmic
Information Content. In particular, we consider a family of piecewise linear
maps that gives examples of algorithmic behaviour ranging from the fully to the
mildly chaotic, and show that the Manneville map is a member of this family.

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