DYNAMIC SCALING FUNCTION AT THE QUASI-PERIODIC TRANSITION TO CHAOS

Authors
MAINIERI R ECKE RE
Citation
R. Mainieri et Re. Ecke, DYNAMIC SCALING FUNCTION AT THE QUASI-PERIODIC TRANSITION TO CHAOS, Physica. D, 79(2-4), 1994, pp. 193-205
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
79
Issue
2-4
Year of publication
1994
Pages
193 - 205
Database
ISI
SICI code
0167-2789(1994)79:2-4<193:DSFATQ>2.0.ZU;2-Y
Abstract
We obtain a five-step approximation to the quasiperiodic dynamic scali ng function for experimental Rayleigh-Bernard convection data. When er rors are taken into account in the experiment, the f(alpha) spectrum o f scalings is equivalent to just two of these five scales. To overcome this limitation, we develop a robust technique for extracting the sca ling function from experimental data by reconstructing the dynamics of the experiment.