Multifractals via recurrence times ?

J. -R. Chazottes (1) , S. Galatolo

1 CPHT - Centre de Physique Théorique [Palaiseau]

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).

Domaines: Dynamique Chaotique [nlin.CD]

J. -R. Chazottes, S. Galatolo. Multifractals via recurrence times ?. 2004. ⟨hal-00145508⟩