Abstract

CALDERON DE LA BARCA, Ignacio  and  RAMIREZ-AVILA, Gonzalo Marcelo. Synchronization of map modeled neurons and characterized by periodicities. Revista Boliviana de Física [online]. 2017, vol.30, n.30, pp.3-8. ISSN 1562-3823.

Abstract We studied the synchronization of two electrically coupled neurons as a function of the coupling strength and their characteristic periodicities, using as an indicator the mean synchronization error. The neural activity presents two dynamical features: a fast one in which impulses are produced from the action potentials and a slow one that modulates them; together these result in a behavior of great physiological importance here called bursts of spikes. These intrinsic neural behaviors are well characterized by periodicities in the parameter plane. We found that high coupling strength values provoke a loss of regularity in the oscillations which delimit the interval analysis. Thus, we observed that complete synchronization is only achieved when coupled neurons are identical, whereas in other situations phase synchronization is manifested. Moreover, in the case of non-identical coupled neurons with the same periodicity, the time series of the mean synchronization error exhibit periodic oscillations with similar periodicities of the neuron's signals.

Keywords : Nonlinear dynamics and chaos; Synchronization; coupled oscillators; Computational techniques; simulation; Neuroscience..

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