title: Generalized dimensions for fluctuations in the solar wind.
abstract: We analyze time series of velocities of the solar wind plasma including the outward-directed component of Alfvénic turbulence within slow wind observed by the Helios 2 spacecraft in the inner heliosphere. We demonstrate that the influence of noise in the data can be efficiently reduced by a singular-value decomposition filter. The resulting generalized dimensions show a multifractal structure of the solar wind attractor in the inner heliosphere. The obtained multifractal spectrum is consistent with that for the multifractal measure on the self-similar weighted baker's map with two parameters describing uniform compression and natural invariant measure on the attractor of the system.
authors.affiliation: Faculty of Mathematics and Natural Sciences, College of Sciences, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warsaw, Poland. macek@cbk.waw.pl
authors.forename: Wiesław M
authors.initials: WM
authors.lastname: Macek
authors.forename: Roberto
authors.initials: R
authors.lastname: Bruno
authors.forename: Giuseppe
authors.initials: G
authors.lastname: Consolini