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A signal processing method: Detection of Lévy flights in chaotic trajectories
- 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.
- Subjects :
- Signal processing
Mathematical analysis
Chaotic
Spectral density estimation
01 natural sciences
Matching pursuit
Fractional Fourier transform
010305 fluids & plasmas
Nonlinear Sciences::Chaotic Dynamics
symbols.namesake
Multidimensional signal processing
Fourier transform
Fourier analysis
0103 physical sciences
symbols
010306 general physics
Mathematics
Subjects
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