The Manneville map: topological, metric and algorithmic entropy
Dynamical Systems
2007-05-23 v2
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.
Cite
@article{arxiv.math/0107195,
title = {The Manneville map: topological, metric and algorithmic entropy},
author = {Claudio Bonanno},
journal= {arXiv preprint arXiv:math/0107195},
year = {2007}
}
Comments
27 pages, 1 figure