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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Autor principal: Trevisan, M.A
Otros Autores: Bouzat, Sebastián, Samengo, Inés, Mindlin, G.B
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2005
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BIRD
Acceso en línea:Registro en Scopus
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100 1 |a Trevisan, M.A. 
245 1 0 |a Dynamics of learning in coupled oscillators tutored with delayed reinforcements 
260 |c 2005 
270 1 0 |m Departamento de Física, FCEyN, UBAArgentina 
504 |a Brainard, M.S., Doupe, A.J., (2000) Nat. Rev. Neurosci., 1, p. 31. , NRNAAN 1471-003X 10.1038/35036205 
504 |a Brainard, M.S., Doupe, A.J., (2002) Nature (London), 417, p. 351. , NATUAS 0028-0836 10.1038/417351a 
504 |a Abarbanel, H.D.I.A., Gibb, L., Mindlin, G.B., Rabinovich, M., Talathi, S.J., (2004) J. Neurophysiol., 92, p. 96. , JONEA4 0022-3077 10.1152/jn.01146.2003 
504 |a Gardner, T., Cecchi, G., Magnasco, M., Laje, R., Mindlin, G.B., (2001) Phys. Rev. Lett., 87, p. 208101. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.208101 
504 |a Nottebohm, F., Stokes, T.M., Leonard, C.M.J., (1976) J. Comp. Neurol., 165, p. 457. , JCNEAM 0021-9967 10.1002/cne.901650405 
504 |a Hahnloser, R.H.R., Kozhevnikov, A.A., Fee, M.S., (2002) Nature (London), 419, p. 65. , NATUAS 0028-0836 10.1038/nature00974 
504 |a Mc Casland, J.S., (1987) J. Neurosci., 7, p. 2339. , JNRSDS 0270-6474 
504 |a Kimpo, R.R., Theunissen, F.E., Doupe, A.J.J., (2003) J. Neurosci., 23, p. 5750. , JNRSDS 0270-6474 
504 |a Bottjer, S., Miesner, E.A., Arnold, A.P., (1984) Science, 224, p. 901. , SCIEAS 0036-8075 
504 |a Scharff, C., Nottebohm, F., (1991) J. Neurosci., 11, p. 2896. , JNRSDS 0270-6474 
504 |a Brainard, M., Doupe, A.J., (2002) Nature (London), 417, p. 351. , NATUAS 0028-0836 10.1038/417351a 
504 |a Seliger, P., Young, S.C., Tsimring, L., (2002) Phys. Rev. e, 65, p. 041906. , PLEEE8 1063-651X 10.1103/PhysRevE.65.041906 
504 |a Pikovsky, A., Rosemblum, M.G., Kurths, J., (2000) Synchronization: A Universal Concept in Nonlinear Sciences, 12. , Cambridge Nonlinear Science, Vol. Cambridge University Press, Cambridge, England 
504 |a Spiro, J.E., Dalva, M.B., Mooney, R., (1999) J. Neurophysiol., 81, p. 3007. , JONEA4 0022-3077 
504 |a Gardner, T., Cecchi, G., Magnasco, M., Laje, R., Mindlin, G.B., (2001) Phys. Rev. Lett., 87, p. 208101. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.208101 
504 |a Mindlin, G.B., Gardner, T.J., Goller, F., Suthers, R., (2003) Phys. Rev. e, 68, p. 041908. , PLEEE8 1063-651X 10.1103/PhysRevE.68.041908 
504 |a Hoppensteadt, F., Izhikevich, E., (1997) Weakly Connected Neural Networks, , Springer, Berlin 
504 |a Abarbanel, H.D.I.A., Talathi, S., Mindlin, G.B., Rabinovich, M., Gibb, L., (2004) Phys. Rev. e, 70, p. 051911. , PLEEE8 1063-651X 10.1103/PhysRevE.70.051911 
506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Departamento de Física, FCEyN, UBA, Argentina 
593 |a Centro Atómico Bariloche, CNEA, Argentina 
650 1 7 |2 spines  |a BIRD 
690 1 0 |a COUPLING COEFFICIENTS 
690 1 0 |a LEARNING SCHEMES 
690 1 0 |a OSCINE BIRDS 
690 1 0 |a MATHEMATICAL MODELS 
690 1 0 |a OSCILLATORS (ELECTRONIC) 
690 1 0 |a SIGNAL PROCESSING 
690 1 0 |a LEARNING SYSTEMS 
690 1 0 |a ANIMAL 
690 1 0 |a ANIMAL BEHAVIOR 
690 1 0 |a BIOLOGICAL MODEL 
690 1 0 |a BIOPHYSICS 
690 1 0 |a LEARNING 
690 1 0 |a MEMORY 
690 1 0 |a METABOLISM 
690 1 0 |a NERVE CELL 
690 1 0 |a NERVE CELL NETWORK 
690 1 0 |a OSCILLOMETRY 
690 1 0 |a PROCEDURES 
690 1 0 |a SONGBIRD 
690 1 0 |a STATISTICAL MODEL 
690 1 0 |a TEACHING 
690 1 0 |a TIME 
690 1 0 |a ANIMALS 
690 1 0 |a BEHAVIOR, ANIMAL 
690 1 0 |a BIOPHYSICS 
690 1 0 |a BIRDS 
690 1 0 |a LEARNING 
690 1 0 |a MEMORY 
690 1 0 |a MODELS, NEUROLOGICAL 
690 1 0 |a MODELS, STATISTICAL 
690 1 0 |a NERVE NET 
690 1 0 |a NEURONS 
690 1 0 |a OSCILLOMETRY 
690 1 0 |a SONGBIRDS 
690 1 0 |a TEACHING 
690 1 0 |a TIME FACTORS 
700 1 |a Bouzat, Sebastián 
700 1 |a Samengo, Inés 
700 1 |a Mindlin, G.B. 
773 0 |d 2005  |g v. 72  |k n. 1  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
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856 4 0 |u https://hdl.handle.net/20.500.12110/paper_15393755_v72_n1_p_Trevisan  |y Handle 
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