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The Manneville map: topological, metric and algorithmic entropy

Claudio Bonanno
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Abstract

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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Claudio Bonanno. 2002-02-10. The Manneville map: topological, metric and algorithmic entropy. https://arxiv.org/abs/math/0107195

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