Abstract
Based on the fast–slow dynamics and bifurcation analysis, two different types of bursting, that is, the “subHopf/homoclinic” and the “circle/fold cycle” types of bursting, are presented and analyzed in a two-compartment neuron model with current feedback control due to totally different generation mechanisms. The synchronization transition process from burst synchronization to nearly complete synchronization is considered in two electrically coupled nonidentical neurons, and fast–slow analysis can be extended to explore the bursting behavior of nearly complete synchronization. The analysis of bursting types and multitime-scale synchronization transition may help us better understand the information encoding and transmission in neural systems.
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