Análisis Cualitativo y Simulación Computacional del Plano Fase del Modelo Neuronal de Fitzhugh-Nagumo
DOI:
https://doi.org/10.17268/sel.mat.2014.01.06Keywords:
Sistemas Dinámicos, bifurcaciones, modelos de neuronas.Abstract
En este trabajo de investigación, se estudia las bifurcaciones silla-nodo de Hopf, de
la familia paramétrica de los sistemas de FitzHugh-Nagumo, desde un punto de vista cualitativo, se describe los conjuntos de bifurcación en el plano fase de parámetros y se realiza una simulación numerica.
References
Arrow-Smith, D. K. y C. M. , Place Dynamical Systems, Dierential equations , Maps and Chaotic Behaviour, [Paperback] . (1992).
Chapman & Hall. London. Barriga Montoya, C.; C. Carrillo Calvet y F. Ongay Larios, El Modelo de FitzHugh-Nagumo para el Potencial Eléctrico de una Neurona, Aportaciones Matemáticas, Serie de Comunicaciones 32. (2003).
Fernando Ongay y Maximo Aguero, Bifurcaciones del Sistema FHM, Universidad Autonoma de Mexico, Mexico. (2010).
Kuznetsov, Y. A, Elements of Applied Bifurcation Theory, Applied Mathematical Sciences. Vol. 112, Springer, New York. (1998).
Hirsch, M.W. y S. Smale. , Dierential Equations, Dynamical Systems and Linear Algebra, Academic Press, San Diego Cal. (1974).
Murray, J. D. , Mathematical Biology,Springer-Verlag, New York. (1989).
Rocsoreanu, C.; A. Georgescu y N. Giurgiteanu., The FitzHugh-Nagumo Model. Bifurcation and Dynamics,Mathematical Modelling: Theory and Applications . Vol. 10, Kluwer Academic Publishers, Netherlands. (2000).
Downloads
Published
How to Cite
Issue
Section
License
The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.
