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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楔形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。通过应用主稳定函数方法来揭示所构建的规则神经网络系统的运动稳定性或周期性。使用定义的指标量化楔形持续时间和电磁噪声对螺旋波动力学的影响，并通过神经元活动的分叉和神经元群体的分化进行解释。研究结果如下：（1）出现的波头由于神经元之间的电位差而旋转并演化成螺旋图案，电位差由楔形持续时间决定。 (2)无论是同质的还是异质的，电磁噪声都能有效调控螺旋波的演化。 (3)噪声激励显着抑制网络发射活动并改变电场分布，导致旋臂变窄和波头漂移。这项研究不仅证明了楔形持续时间对于螺旋波形成的重要性，而且为随机调节螺旋波演化提供了指导。