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

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

Transport in low dimensional Hamiltonian chaos can be anomalous due to stickiness and rise of Lévy 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 F...

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Bibliographische Detailangaben
Hauptverfasser: Briolle, F., Ricaud, B., Leoncini, X.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Chaos
Chirp
Fourier transforms
Noise
Physics
Plasma Physics
Time frequency analysis
Trajectory
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Beschreibung
Zusammenfassung:Transport in low dimensional Hamiltonian chaos can be anomalous due to stickiness and rise of Lévy 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.
DOI:10.1109/NSC.2012.6304726