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arXiv 2001-07-27 0 views

The Manneville map: topological, metric and algorithmic entropy

Bonanno, Claudio

Original · EN

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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