在具有不对称脉冲合的相同神经元中高阶同步
Abhay1, Gaurav Dar1
1BITS Pilani K K Birla Goa Campus, Department of Physics, Zuarinagar, Goa 403726, India.
Physical review. E
|April 18, 2025
概括
我们在具有相同频率但不对称合的合神经元中演示了高阶 (p/q) 同步. 这项研究揭示了这些同步区域内的复杂结构和多稳定性.
科学领域:
- 计算神经科学是一种神经科学.
- 非线性动力学是一种非线性动力学.
- 系统生物学 系统生物学
背景情况:
- 高阶 (p/q) 同步,其中一个振荡器的 p 周期与另一个振荡器的 q 周期相匹配,在强制和合振荡器中是已知的.
- 这种现象在合的神经系统中不太了解,特别是关于不对称的合效应.
研究的目的:
- 为了证明和彻底研究高阶 (p/q) 频率锁定在一对结合的神经元与相同的内在频率,但不对称的合.
- 在参数空间中分析这些同步区域内的复杂结构和动态.
主要方法:
- 使用模拟来探索参数空间 (g,α) 并观察诸如准周期性,魔鬼楼梯和尖序列的Farey排列等现象.
- 基于事件驱动图的分析方法被开发出来,以确定p/q频率锁定状态的存在和稳定性,处理不平滑的分叉.
主要成果:
- 激发性-抑制性 (E-I) 神经元对中的不对称合自然会诱导不同的p/q频率锁定结构.
- 模拟显示可减少和不可减少的p/q区域具有内部分叉结构,与传统的阿诺德舌头不同.
- 在不同的p/q同步状态内和之间观察到多稳定性,其边界由结和放牧分叉定义.
结论:
- 非对称合是产生神经网络中复杂同步模式的关键机制.
- 开发的分析方法为理解结合神经元模型中的尖端序列稳定性提供了强大的框架.
- 这些发现突出了神经元同步固有的复杂动力学和多元稳定性,这对于理解神经计算至关重要.
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