由多个时间尺度诱导的复杂动态在威尔逊 - 考恩模型中具有恒常性可塑性
Ke He1,2, Sue Ann Campbell2,3, Shenquan Liu1
1School of Mathematics, South China University of Technology, Guangzhou 510640, China.
Chaos (Woodbury, N.Y.)
|January 23, 2026
概括
神经网络中的恒常性可塑性对稳定性至关重要,产生混乱和振荡等复杂的动态. 这项研究揭示了威尔逊-考恩模型中的三个不同的时间尺度如何通过折叠的奇点驱动这些行为.
科学领域:
- 计算神经科学是一种神经科学.
- 动态系统理论 动态系统理论
- 数学生物学 数学生物学
背景情况:
- 恒常性突触可塑性对于神经群体的稳定性至关重要,它在比神经活动慢的时间尺度上运行.
- 具有恒温可塑性的神经质量模型可以表现出复杂的动态,包括混合模式振荡 (MMO) 和混乱.
研究的目的:
- 在一个具有恒常性可塑性的单节点威尔逊-考恩模型中研究基础复杂行为的动态机制.
- 分析三个不同的时间尺度对神经群体动态的影响.
主要方法:
- 研究了一种单节点的威尔逊-考恩模型,其中包含了恒温可塑性.
- 分析了跨两个和三个时间尺度框架的动态.
- 研究了折叠奇点的分叉及其在过渡中的作用.
主要成果:
- 两次尺度分析揭示了卡纳德诱导的MMOs和与特定折叠奇点相关的周期倍增级联.
- 三次尺度分析表明了奇点之间的相互作用,定义了奇点轨道结构.
- 确定了调控MMO和放松振荡之间的过渡的退化折叠点.
结论:
- 时间尺度的相对分离显著影响神经质量模型中复杂的动态行为.
- 折叠奇点在不同动态模式之间的过渡中发挥着关键作用.
- 这项工作提供了一个全面的了解如何突触重量动力学有助于神经群体的复杂性.
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