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A signal processing method: Detection of Lévy flights in chaotic trajectories

Authors :
Xavier Leoncini
Benjamin Ricaud
Francoise Briolle
Source :
2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC).
Publication Year :
2012
Publisher :
IEEE, 2012.

Abstract

Transport in low dimensional Hamiltonian chaos can be anomalous due to stickiness and rise of Levy flights. We suggest a signal processing method to detect these flights in signals, in order to characterize the nature of transport (diffusive or anomalous). We use time-frequency techniques such as Fractional Fourier transform and matching pursuit in order to be robust to noise. The method is tested on data obtained from chaotic advection.

Details

Database :
OpenAIRE
Journal :
2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC)
Accession number :
edsair.doi...........f9cc763026b4548c25cd9b6659db46f3
Full Text :
https://doi.org/10.1109/nsc.2012.6304726