The Manneville map: topological, metric and algorithmic entropy
Abstract
We study the Manneville map f(x)=x+xz (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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