Parameter-dependent synchronization of coupled neurons in cold receptor model

• Synchronization in two coupled neurons with spiking, bursting and chaos firings are studied.
• Synchronization processes are depending on the parameter values.
• Synchronization state is also related to network connectivity patterns.
• Chaotic and high period pattern are more difficult to get complete synchronization.

In this paper, synchronization in two coupled neurons with spiking, bursting and chaos firings is investigated as the coupling strength gets increased. Synchronization state can be identified by means of the bifurcation diagram, the correlation coefficient and ISI-distance. It is illustrated that the coupled neurons can exhibit different types of synchronization state when the coupling strength increases. The different synchronization processes appear similar, but their detailed processes are different depending on the parameter values. The synchronization of neuronal network with two different network connectivity patterns is also studied. It is shown that chaotic and high period pattern are more difficult to get complete synchronization than the situation in single spike and low period pattern. It is also demonstrated that the synchronization status of multiple neurons is dependent on the network connectivity patterns. These results may be instructive to understand synchronization in neuronal systems.