ABSTRACT Synchronization behaviors of bursting neurons coupled through electrical and dynamic chemical synapses are investigated. The Izhikevich model is used with random and small world network of bursting neurons. Various currents which consist of diffusive electrical and time-delayed dynamic chemical synapses are used in the simulations to investigate the influences of synaptic currents and couplings on synchronization behavior of bursting neurons. The effects of parameters, such as time delay, inhibitory synaptic strengths, and decay time on synchronization behavior are investigated. It is observed that in random networks with no delay, bursting synchrony is established with the electrical synapse alone, single spiking synchrony is observed with hybrid coupling. In small world network with no delay, periodic bursting behavior with multiple spikes is observed when only chemical and only electrical synapse exist. Single-spike and multiple-spike bursting are established with hybrid couplings. A decrease in the synchronization measure is observed with zero time delay, as the decay time is increased in random network. For synaptic delays which are above active phase period, synchronization measure increases with an increase in synaptic strength and time delay in small world network. However, in random network, it increases with only an increase in synaptic strength.

中文翻译：

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非线性耦合动态网络中突发神经元同步行为的建模

摘要研究了通过电和动态化学突触耦合的突发神经元的同步行为。Izhikevich 模型与突发神经元的随机和小世界网络一起使用。在模拟中使用由扩散电和延时动态化学突触组成的各种电流，以研究突触电流和耦合对突发神经元同步行为的影响。研究了参数的影响，例如时间延迟、抑制性突触强度和衰减时间对同步行为的影响。观察到，在无延迟的随机网络中，单独使用电突触建立突发同步，使用混合耦合观察到单个尖峰同步。在没有延迟的小世界网络中，当仅存在化学突触和电突触时，会观察到具有多个尖峰的周期性爆发行为。单尖峰和多尖峰爆发是通过混合耦合建立的。随着随机网络中衰减时间的增加，在零时间延迟的情况下观察到同步测量的减少。对于高于活跃期的突触延迟，小世界网络中同步度量随着突触强度和时间延迟的增加而增加。然而，在随机网络中，它只随着突触强度的增加而增加。对于高于活跃期的突触延迟，小世界网络中同步度量随着突触强度和时间延迟的增加而增加。然而，在随机网络中，它只随着突触强度的增加而增加。对于高于活跃期的突触延迟，小世界网络中同步度量随着突触强度和时间延迟的增加而增加。然而，在随机网络中，它只随着突触强度的增加而增加。