Synchronization and resonance effects in nonlinear electronic circuits with neuroscience applications
- Autores: Mariano Alberto García Vellisca
- Directores de la Tesis: Javier Martín Buldú (dir. tes.), Alexander Pisarchik (codir. tes.)
- Lectura: En la Universidad Politécnica de Madrid ( España ) en 2017
- Idioma: español
- Tribunal Calificador de la Tesis: Francisco del Pozo Guerrero (presid.), Claudio Rubén Mirasso Santos (secret.), Inmaculada Leyva Callejas (voc.), Valeri A. Makarov (voc.), Irene Sendiña Nadal (voc.)
- Programa de doctorado: Programa de Doctorado en Ingeniería Biomédica por la Universidad Politécnica de Madrid
- Materias:
- Enlaces
- Tesis en acceso abierto en: Archivo Digital UPM
- Resumen
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 guring 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) di usive manner. On one hand, we numerically simulate a general system compound of oscillators. We extract time series, for their statistical analyses, in order to gure 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 nd 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.
