Bursting and Mode Transitions in Coupled Nonidentical Modified Morris-Lecar Neurons

Abstract

Bursting oscillation in neurons and other excitable cells is thought to be the primary mode of electrical behavior in many biological system. In the previous work, we studied the bursting types in the single Morris-Lecar model with current-feedback control. In this paper, based on studying the nearly complete synchronization of two electrically coupled bursting neurons, we do the further research to find how the synchronous firing patterns depend on that of the individual neurons by means of numerical simulation and bifurcation analysis. Besides, we find a novel transition of the synchronous firing patterns with the change of $\bf \emph{V}_0$. These results may have instructive significance for us to understand the mechanisms of complex firing activities and information coding in biological neural systems.