MODELING FRACTAL ENTRAINMENT SETS OF TRACERS ADVECTED BY CHAOTIC TEMPORALLY IRREGULAR FLUID-FLOWS USING RANDOM MAPS

Authors
JACOBS J OTT E ANTONSEN T YORKE J
Citation
J. Jacobs et al., MODELING FRACTAL ENTRAINMENT SETS OF TRACERS ADVECTED BY CHAOTIC TEMPORALLY IRREGULAR FLUID-FLOWS USING RANDOM MAPS, Physica. D, 110(1-2), 1997, pp. 1-17
Citations number
40
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
110
Issue
1-2
Year of publication
1997
Pages
1 - 17
Database
ISI
SICI code
0167-2789(1997)110:1-2<1:MFESOT>2.0.ZU;2-Q
Abstract
We model a two-dimensional open fluid flow that has temporally irregul ar time dependence by a random map xi(n+1) = M-n(xi(n)), where on each iterate n, the map M-n is chosen from an ensemble. We show that a tra cer distribution advected through a chaotic region can be entrained on a set that becomes fractal as time increases. Theoretical and numeric al results on the multifractal dimension spectrum are presented.