Synchronization and resonance effects in nonlinear electronic circuits : with neuroscience applications

García Vellisca, Mariano Alberto (2017). Synchronization and resonance effects in nonlinear electronic circuits : with neuroscience applications. Thesis (Doctoral), E.T.S.I. Telecomunicación (UPM). https://doi.org/10.20868/UPM.thesis.48346.

Description

Title: Synchronization and resonance effects in nonlinear electronic circuits : with neuroscience applications
Author/s:
  • García Vellisca, Mariano Alberto
Contributor/s:
  • Pisarchik, Alexander N.
  • Buldú, Javier M.
Item Type: Thesis (Doctoral)
Date: 2017
Subjects:
Freetext Keywords: dynamics; nonlinear systems; Chua's circuit; Hindmarsh-Rose model; synchronization; time series; unidirectional and bidirectional diffusive coupling; resonance effect; chaotic system; bistability; electronic neurons.
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

En esta tesis se analiza la dinámica de tres sistemas no lineales a través de sus respectivos modelos teóricos y experimentales. Dos de ellos, el conocido como circuito Chua y el modelo de Hindmarsh-Rose, se usan en estudios de neurociencia. En particular, la principal contribución se basa en averiguar cómo se sincronizan este tipo de sistemas oscilatorios y los efectos resonantes que aparecen como consecuencia de la interacción entre ellos. Para acoplar osciladores de una forma difusiva y unidireccional (o bidireccional) utilizamos básicamente las configuración maestro-esclavo y en anillo. Por un lado, simulamos computacionalmente el sistema general compuesto de osciladores; extraemos los datos en forma de series temporales aplicándoles un análisis estadístico para averiguar tanto el tipo de sincronización como si aparece algún efecto resonante. Por otro lado, diseñamos los circuitos electrónicos para reproducir el sistema general con el objetivo de contrastar cuán robustos son nuestros resultados. Siguiendo esta línea de investigación, mostramos la evidencia experimental de la aparición de cierto orden en un sistema caótico bajo la influencia de una señal caótica. Además, también mostramos biestabilidad en un sistema neuronal tipo maestro-esclavo. Finalmente, desarrollamos una aplicación visual que muestra la dinámica de dos neuronas electrónicas conectadas a través de sinapsis química y eléctrica. ----------ABSTRACT---------- This thesis analyzes the dynamics of three nonlinear systems through their theoretical and experimental models. Two of them are used in neuroscience studies Chua's circuit and Hindmarsh-Rose model. In particular, the main contribution is based on figuring out how this type of systems get synchronized and the resonant effects that appear as a consequence of the interaction among them. We use master-slave and ring topology to couple these oscillatory systems in unidirectional (or bidirectional) diffusive manner. On one hand, we numerically simulate a general system compound of oscillators. We extract time series, for their statistical analyses, in order to figure out not only what kind of synchronization exists among them but also if any of them exhibits some resonance effect. On the other hand, we design the electronic circuit associated with the general system, mentioned above, to check how robust the results are. Following this research line, we find the experimental evidence of the appearance of some order in a chaotic system under the influence of a chaotic signal. Moreover, we also run into bistability in a master-slave neural system. Finally, we developed a visual application to show the dynamics of two electronic neurons connected by chemical and electrical synapse.

More information

Item ID: 48346
DC Identifier: http://oa.upm.es/48346/
OAI Identifier: oai:oa.upm.es:48346
DOI: 10.20868/UPM.thesis.48346
Deposited by: Archivo Digital UPM 2
Deposited on: 20 Nov 2017 11:17
Last Modified: 20 May 2018 22:30
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