Singularity spectrum of nonperiodic time series: Surrogate data and wavelet transform

Authors
Nicollet, M Lemarchand, A Dumas, GML
Citation
M. Nicollet et al., Singularity spectrum of nonperiodic time series: Surrogate data and wavelet transform, FRACTALS, 8(2), 2000, pp. 129-137
Citations number
21
Categorie Soggetti
Multidisciplinary
Journal title
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
ISSN journal
0218348X → ACNP
Volume
8
Issue
2
Year of publication
2000
Pages
129 - 137
Database
ISI
SICI code
0218-348X(200006)8:2<129:SSONTS>2.0.ZU;2-K
Abstract
We study the singularities of time series giving the evolution of the cool flame temperature of a hydrocarbon. Several tests using surrogate data and wavelet transform are applied to the original signals. The results suggest that the hypothesis of deterministic chaos cannot be ruled out in the origi nal signals. The multifractal organization of their local singularities is proven.