This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.

中文翻译：

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楔块持续时间和电磁噪声对螺旋波动力学的影响


本文特别关注楔形持续时间对螺旋波形成和电磁噪声调节的影响。通过应用主稳定性函数方法揭示构建的规则神经元网络系统的运动稳定性或周期性。楔形持续时间和电磁噪声对螺旋波动力学的影响使用定义的指标进行量化，并通过神经元活动的分叉和神经元群的分化来解释。研究结果如下：（1） 由于神经元之间的电位差，出现的波头旋转并演变成螺旋状，这是由楔形持续时间决定的。（2）无论是均匀的还是异质的，电磁噪声都能有效地调节螺旋波的演变。（3） 噪声激励显著抑制了网络发射活动，改变了电场分布，导致螺旋臂变窄和波头漂移。本研究不仅证明了楔形持续时间对螺旋波形成的重要性，而且为随机调控螺旋波演化提供了指导。