Abstract

IGLESIAS, Kevin  and  RAMIREZ-AVILA, Gonzalo Marcelo. Periodicity characterized synchronization of a trio of Rulkov neurons. Revista Boliviana de Física [online]. 2019, vol.34, n.34, pp.03-10. ISSN 1562-3823.

Abstract We studied synchronization as a function of coupling strength in a trio of Rulkov neurons characterised by their periodicities, and considering electrically and bidirectional coupling. Firstly, we determined the dynamical behavior of a single neuron by using its periodicities in the parameter plane. We identified the typical behavior of spiking-bursting in several regions of this plane. Several basins of attraction for the Rulkov model were obtained exhibiting multistability. We worked with identical and different neurons but with the same periodicity. We found that the heterogeneous configuration enhances synchronization an aspect that was verified by analyzing the time series of the slow variable.

Keywords : Nonlinear dynamics and chaos; Neuron models; Synchronization; coupled oscillators.

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