Generation of Firing Rhythm Patterns and Synchronization in the Morris-Lecar Neuron Model

A single Morris-Lecar neuron model can produce a variety of spontaneous firing rhythm patterns, such as spiking and bursting activities, by adjustment of the equilibrium potential of potassium channel. In the two electrically coupled identical Morris-Lecar neurons, it is shown that the increase of the coupling strength induces complete synchronization. The critical value is determined as a function of the conditional Lyapunov exponents of the synchronization manifold, the mean synchronization error and the maximum synchronization error. Based on a well-defined phase function, phase synchronization of two coupled Morris-Lecar neurons is further studied.

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