中文摘要：

本文研究了经化学突触耦合的两个神经元的簇放电同步以及耦合后神经元的簇放电动力学性质。根据簇相位的定义，通过计算得到兴奋性耦合导致两个神经元达到同相簇放电同步，而抑制性耦合则使得两个神经元反相同步产生簇放电。本文给出了衡量单个神经元簇动力学的指标-宽度因子，根据此指标将簇放电模式分类为短簇和长簇两种，并且讨论了不同簇放电模式以及耦合方式对于耦合后神经元簇动力学性质的影响。结果表明兴奋性耦合有利于簇放电的整合，短簇的放电模式对于耦合作用具有鲁棒性。这一结果的研究对于将来神经实验中识别簇放电同步具有指导意义。

英文摘要：

Burst synchronization and burst dynamics of a system consisting of two map-based neurons coupled through chemical synapses were studied. By the definition of burst phase, the common results were derived that excitatory coupling leads to in-phase burst synchronization and inhibitory coupling results in anti-phase one. After a brief definition of basic characteristics of burst dynamics for a single neuron, the effects of the intrinsic bursting properties and the coupling schemes on the burst dynamics were also presented. It is concluded that the excitatory coupling is beneficial to the burst regulation. For the intrinsic bursting properties of the neurons, short bursts are robust to the coupling since coupled short bursting neurons will always generate short bursts. The results are instructive for the future experiments since one can identify burst synchronization easily with the experiment data.