Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Dynamic hebbian learning in adaptive frequency oscillators
 
research article

Dynamic hebbian learning in adaptive frequency oscillators

Righetti, Ludovic  
•
Buchli, Jonas  
•
Ijspeert, Auke Jan  
2006
Physica D

Nonlinear oscillators are widely used in biology, physics and engineering for modeling and control. They are interesting because of their synchronization properties when coupled to other dynamical systems. In this paper, we propose a learning rule for oscillators which adapts their frequency to the frequency of any periodic or pseudo-periodic input signal. Learning is done in a dynamic way: it is part of the dynamical system and not an offline process. An interesting property of our model is that it is easily generalizable to a large class of oscillators, from phase oscillators to relaxation oscillators and strange attractors with a generic learning rule. One major feature of our learning rule is that the oscillators constructed can adapt their frequency without any signal processing or the need to specify a time window or similar free parameters. All the processing is embedded in the dynamics of the adaptive oscillator. The convergence of the learning is proved for the Hopf oscillator, then numerical experiments are carried out to explore the learning capabilities of the system. Finally, we generalize the learning rule to non-harmonic oscillators like relaxation oscillators and strange attractors.

  • Files
  • Details
  • Metrics
Type
research article
DOI
10.1016/j.physd.2006.02.009
Author(s)
Righetti, Ludovic  
Buchli, Jonas  
Ijspeert, Auke Jan  
Date Issued

2006

Published in
Physica D
Volume

216

Issue

2

Start page

269

End page

281

Subjects

Adaptive frequency oscillator

•

Synchronization

•

Learning

•

Plasticity

•

Dynamical systems

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
BIOROB  
Available on Infoscience
December 14, 2006
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/238556
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés