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research article

Frequency analysis with coupled nonlinear oscillators

Buchli, J.  
•
Righetti, L.  
•
Ijspeert, A.J  
2008
Physica D

We present a method to obtain the frequency spectrum of a signal with a nonlinear dynamical system. The dynamical system is composed of a pool of adaptive frequency oscillators with negative mean-field coupling. For the frequency analysis, the synchronization and adaptation properties of the component oscillators are exploited. The frequency spectrum of the signal is reflected in the statistics of the intrinsic frequencies of the oscillators. The frequency analysis is completely embedded in the dynamics of the system. Thus, no pre-processing or additional parameters, such as time windows, are needed. Representative results of the numerical integration of the system are presented. It is shown, that the oscillators tune to the correct frequencies for both discrete and continuous spectra. Due to its dynamic nature the system is also capable to track non-stationary spectra. Further, we show that the system can be modeled in a probabilistic manner by means of a nonlinear Fokker–Planck equation. The probabilistic treatment is in good agreement with the numerical results, and provides a useful tool to understand the underlying mechanisms leading to convergence.

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Type
research article
DOI
10.1016/j.physd.2008.01.014
Web of Science ID

WOS:000258058800002

Author(s)
Buchli, J.  
Righetti, L.  
Ijspeert, A.J  
Date Issued

2008

Published in
Physica D
Volume

237

Issue

13

Start page

1705

End page

1718

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
BIOROB  
Available on Infoscience
March 14, 2008
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/20111
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