Multifractal properties of return time statistics
Chaotic Dynamics
2009-11-07 v1
Abstract
Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets of dimensions is established. Theoretical analysis and numerical examples of dynamical systems in the class of Iterated Functions are presented.
Cite
@article{arxiv.nlin/0108050,
title = {Multifractal properties of return time statistics},
author = {N. Hadyn and J. Luevano and G. Mantica and S. Vaienti},
journal= {arXiv preprint arXiv:nlin/0108050},
year = {2009}
}
Comments
4 pages, 3 figures