ABSTRACT We consider a one-dimensional model of neural activity, given by a piecewise smooth discontinuous map. Fold bifurcations as well as border collision bifurcations are described in detail. Using the method of stochastic sensitivity functions, noise-induced phenomena, such as transitions within attractor and between attractors, and spike generation, are described. Statistical characteristics of interspike intervals depending on noise intensity are studied.

中文翻译：

---

分段平滑神经元模型吸引子的随机灵敏度

摘要 我们考虑一个一维神经活动模型，由分段平滑不连续图给出。折叠分岔以及边界碰撞分岔进行了详细描述。使用随机灵敏度函数的方法，描述了噪声引起的现象，例如吸引子内和吸引子之间的转换以及尖峰生成。研究了取决于噪声强度的尖峰间隔的统计特性。