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This paper aimed to research synchronization transitions in two reciprocally gap-junction coupled bursting pancreatic β-cells.Numerical results revealed that propagations of synchronous states could be induced not only by changing the coupling strength,but also by the variations of the slow time constant.Firstly,these asynchronous and synchronous states such as out-of-phase,almost in-phase and in-phase synchronization were specifically demonstrated by phase portraits and time evolutions.By comparing the bifurcation diagrams of interspike intervals (ISI) between two coupled neurons and an individual neuron,we found that the coupling strength played a critical role in tonic-to-bursting transitions.In particular,with the phase difference and ISI-distance being introduced,regions of various synchronous and asynchronous states were plotted in a two-dimensional parameter space.More interestingly,it was found that the coupled neurons could always realize complete synchronization if only the coupling strength was appropriate.