Multifractals via recurrence times ?

Details Multifractals via recurrence times ? Multifractals via recurrence times ?

2004-09-08

arxiv.org/abs/nlin/0409017v1

Nonlinear Sciences

Chaotic Dynamics

This is a very short and non-technical note written after an article published in Nature by T.C. Halsey and M.H. Jensen

Scientific paper

This letter is a comment on an article by T.C. Halsey and M.H. Jensen in Nature about using recurrence times as a reliable tool to estimate multifractal dimensions of strange attractors. Our aim is to emphasize that in the recent mathematical literature (not cited by these authors), there are positive as well as negative results about the use of such techniques. Thus one may be careful in using this tool in practical situations (experimental data).

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