RAM´IREZ ´A VILA G, Gallas M, Gallas J (2015)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: Sociedad Boliviana de Física
Book Volume: 27
Journal Issue: 1-9
We study the Rulkov model phase plane, a two-dimensional map-based model that describes
the behavior of a neuron. Keeping constant one of the three parameters, we obtain
phase planes showing well-defined periodicities. We show the importance of the parameter
identifying the periodicities and the number of spikes per burst, quantities that are related
between them by a linear relationship. The zones in which these periodicities are well-defined
exhibit in some cases, shapes similar to those appearing in some palm-tree patterns observed
both in trunks and in leaves. The detailed determination and description of these periodicity
zones could be the basis for a further study on synchronization of nonidentical neurons in
regions in which the domain of the parameter values ensure the fact to work with the same
periodicity. We also analyze the reliability and the limitations of this method.
APA:
RAM´IREZ ´A VILA, G., Gallas, M., & Gallas, J. (2015). ANA´ LISIS DEL PLANO DE FASES DE UN MODELO DISCRETO DE NEURONA BASADO EN LA DETERMINACIO´ N DE PERIODICIDADES PHASE PLANE ANALYSIS OF A NEURON MAP-BASED MODEL BY DETERMINING PERIODICITIES. Revista Boliviana de Física, 27(1-9).
MLA:
RAM´IREZ ´A VILA, G.M., Marcia Gallas, and Jason Gallas. "ANA´ LISIS DEL PLANO DE FASES DE UN MODELO DISCRETO DE NEURONA BASADO EN LA DETERMINACIO´ N DE PERIODICIDADES PHASE PLANE ANALYSIS OF A NEURON MAP-BASED MODEL BY DETERMINING PERIODICITIES." Revista Boliviana de Física 27.1-9 (2015).
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