Dynamics of learning in coupled oscillators tutored with delayed reinforcements

In this work we analyze the solutions of a simple system of coupled phase oscillators in which the connectivity is learned dynamically. The model is inspired by the process of learning of birdsongs by oscine birds. An oscillator acts as the generator of a basic rhythm and drives slave oscillators wh...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-07, Vol.72 (1 Pt 1), p.011907-011907, Article 011907
Main Authors: Trevisan, M A, Bouzat, S, Samengo, I, Mindlin, G B
Format: Article
Language:English
Subjects:
Animals
Behavior, Animal
Biophysics - methods
Birds
Learning
Memory
Models, Neurological
Models, Statistical
Nerve Net
Neurons - metabolism
Oscillometry - methods
Songbirds
Teaching
Time Factors
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Summary:In this work we analyze the solutions of a simple system of coupled phase oscillators in which the connectivity is learned dynamically. The model is inspired by the process of learning of birdsongs by oscine birds. An oscillator acts as the generator of a basic rhythm and drives slave oscillators which are responsible for different motor actions. The driving signal arrives at each driven oscillator through two different pathways. One of them is a direct pathway. The other one is a reinforcement pathway, through which the signal arrives delayed. The coupling coefficients between the driving oscillator and the slave ones evolve in time following a Hebbian-like rule. We discuss the conditions under which a driven oscillator is capable of learning to lock to the driver. The resulting phase difference and connectivity are a function of the delay of the reinforcement. Around some specific delays, the system is capable of generating dramatic changes in the phase difference between the driver and the driven systems. We discuss the dynamical mechanism responsible for this effect and possible applications of this learning scheme.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.72.011907