Dynamics of learning in coupled oscillators tutored with delayed reinforcements

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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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Autores principales:	Trevisan, M.A., Bouzat, S., Samengo, I., Mindlin, G.B.
Formato:	JOUR
Materias:	Coupling coefficients Learning schemes Oscine birds Mathematical models Oscillators (electronic) Signal processing Learning systems animal animal behavior biological model biophysics bird learning memory metabolism nerve cell nerve cell network oscillometry procedures songbird statistical model teaching time Animals Behavior, Animal Biophysics Birds Learning Memory Models, Neurological Models, Statistical Nerve Net Neurons Oscillometry Songbirds Teaching Time Factors
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_15393755_v72_n1_p_Trevisan
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_15393755_v72_n1_p_Trevisan
record_format	dspace
spelling	todo:paper_15393755_v72_n1_p_Trevisan2023-10-03T16:22:07Z Dynamics of learning in coupled oscillators tutored with delayed reinforcements Trevisan, M.A. Bouzat, S. Samengo, I. Mindlin, G.B. Coupling coefficients Learning schemes Oscine birds Mathematical models Oscillators (electronic) Signal processing Learning systems animal animal behavior biological model biophysics bird learning memory metabolism nerve cell nerve cell network oscillometry procedures songbird statistical model teaching time Animals Behavior, Animal Biophysics Birds Learning Memory Models, Neurological Models, Statistical Nerve Net Neurons Oscillometry Songbirds Teaching Time Factors 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. © 2005 The American Physical Society. Fil:Trevisan, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Samengo, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v72_n1_p_Trevisan
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Coupling coefficients Learning schemes Oscine birds Mathematical models Oscillators (electronic) Signal processing Learning systems animal animal behavior biological model biophysics bird learning memory metabolism nerve cell nerve cell network oscillometry procedures songbird statistical model teaching time Animals Behavior, Animal Biophysics Birds Learning Memory Models, Neurological Models, Statistical Nerve Net Neurons Oscillometry Songbirds Teaching Time Factors
spellingShingle	Coupling coefficients Learning schemes Oscine birds Mathematical models Oscillators (electronic) Signal processing Learning systems animal animal behavior biological model biophysics bird learning memory metabolism nerve cell nerve cell network oscillometry procedures songbird statistical model teaching time Animals Behavior, Animal Biophysics Birds Learning Memory Models, Neurological Models, Statistical Nerve Net Neurons Oscillometry Songbirds Teaching Time Factors Trevisan, M.A. Bouzat, S. Samengo, I. Mindlin, G.B. Dynamics of learning in coupled oscillators tutored with delayed reinforcements
topic_facet	Coupling coefficients Learning schemes Oscine birds Mathematical models Oscillators (electronic) Signal processing Learning systems animal animal behavior biological model biophysics bird learning memory metabolism nerve cell nerve cell network oscillometry procedures songbird statistical model teaching time Animals Behavior, Animal Biophysics Birds Learning Memory Models, Neurological Models, Statistical Nerve Net Neurons Oscillometry Songbirds Teaching Time Factors
description	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. © 2005 The American Physical Society.
format	JOUR
author	Trevisan, M.A. Bouzat, S. Samengo, I. Mindlin, G.B.
author_facet	Trevisan, M.A. Bouzat, S. Samengo, I. Mindlin, G.B.
author_sort	Trevisan, M.A.
title	Dynamics of learning in coupled oscillators tutored with delayed reinforcements
title_short	Dynamics of learning in coupled oscillators tutored with delayed reinforcements
title_full	Dynamics of learning in coupled oscillators tutored with delayed reinforcements
title_fullStr	Dynamics of learning in coupled oscillators tutored with delayed reinforcements
title_full_unstemmed	Dynamics of learning in coupled oscillators tutored with delayed reinforcements
title_sort	dynamics of learning in coupled oscillators tutored with delayed reinforcements
url	http://hdl.handle.net/20.500.12110/paper_15393755_v72_n1_p_Trevisan
work_keys_str_mv	AT trevisanma dynamicsoflearningincoupledoscillatorstutoredwithdelayedreinforcements AT bouzats dynamicsoflearningincoupledoscillatorstutoredwithdelayedreinforcements AT samengoi dynamicsoflearningincoupledoscillatorstutoredwithdelayedreinforcements AT mindlingb dynamicsoflearningincoupledoscillatorstutoredwithdelayedreinforcements
_version_	1807314430666473472

Dynamics of learning in coupled oscillators tutored with delayed reinforcements

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