Parabolic bursting in an excitable system coupled with a slow oscillation
SIAM Journal on Applied Mathematics
Synchrony in excitatory neural networks
Neural Computation
Type i membranes, phase resetting curves, and synchrony
Neural Computation
IEEE Transactions on Neural Networks
Phase Synchronization Motion and Neural Coding in Dynamic Transmission of Neural Information
IEEE Transactions on Neural Networks
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This paper investigates synchronization stability and firing transition in two types of the modified canonical class I neuronal networks, where the short-term plasticity of synapse is introduced. We mainly consider both unidirectional chain and global coupling configurations. Previous studies have shown that the coupled class I neurons can spontaneously de-synchronize. Presently, the short-term plasticity of synapse is considered to check the universality of this phenomenon. Based on the theoretical analysis and numerical simulation, it is shown that unidirectionally chain coupled class I neurons can realize synchronization, whereas bidirectionally coupled chain neurons cannot synchronize, and globally coupled class I neurons de-synchronize. Furthermore, the dynamics of coupled neurons with different firing modes are also studied in numerical simulations, and interesting transitions of different firing modes can be induced by the short-term plasticity. The obtained results can be helpful to further understand important effects of the short-term synaptic plasticity on realistic neuronal systems.