Random pulses contribute to stochastic resonance in neuron models, whereas common random pulses cause stochastic-synchronized excitation in uncoupled neuron models. We studied concurrent phenomena contributing to phase synchronization and stochastic resonance following induction by a weak common random pulse in uncoupled non-identical Hodgkin–Huxley type neuron models. The common random pulse was selected from a gamma distribution and the degree of synchronization depended on the corresponding shape parameter. Specifically, a low shape parameter of the weak random pulse induced well-synchronized spiking in uncoupled neuron models, whereas a high shape parameter of the weak random pulse or a weak periodic pulse caused low degrees of synchronization. These were improved by concurrent inputs of periodic and random pulses with high shape parameters. Finally, the output pulse was synchronized with the periodic pulse, and the common random pulse revealed periodic responses in the present neuron models.

中文翻译：

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在未耦合的非相同神经元模型中，随机脉冲引起的同步和共振。

随机脉冲会导致神经元模型中的随机共振，而常见的随机脉冲会导致非耦合神经元模型中的随机同步激发。我们研究了在耦合不相同的霍奇金-赫克斯利型神经元模型中，由弱的普通随机脉冲感应后导致相位同步和随机共振的并发现象。从伽马分布中选择公共随机脉冲，并且同步程度取决于相应的形状参数。具体而言，弱随机脉冲的低形状参数会在未耦合的神经元模型中引起良好的同步尖峰，而弱随机脉冲或弱周期性脉冲的高形状参数会导致较低的同步度。通过同时输入具有高形状参数的周期性和随机脉冲可以改善这些问题。