Repositorio de producción científica de la Universidad de Sevilla

Estudio de modelos de ecuaciones diferenciales en Neurociencia. El sistema de FitzHugh-Nagumo

 

Advanced Search
 
Opened Access Estudio de modelos de ecuaciones diferenciales en Neurociencia. El sistema de FitzHugh-Nagumo
Cites
Show item statistics
Icon
Export to
Author: Carballés Balsa, Rut
Director: Fernández García, Soledad
Morales Rodrigo, Cristian
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2018
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: In this work, we will consider the study of the FitzHugh-Nagumo system, a simplification of the well-known Hodgkin-Huxley model of spike generation of neurons. We will study the FitzHugh-Nagumo system from the point of view of dynamical systems and bifurcation theory. In particular, we will focus, among others, in the Hopf bifurcation and the associated canard explosion.
Size: 1.052Mb
Format: PDF

URI: https://hdl.handle.net/11441/77501

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)