三元透诱导高阶网络中的动态拓模式
Ana P Millán1, Hanlin Sun2, Joaquín J Torres1
1Electromagnetism and Matter Physics Department, Institute "Carlos I" for Theoretical and Computational Physics, University of Granada, Granada E-18071, Spain.
PNAS nexus
|July 22, 2024
概括
空间网络中的三元交互在巨型组件中创建复杂的,时间变化的模式. 这项研究揭示了新的拓模式和动态,对于理解神经网络等系统至关重要.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 数学生物学 数学生物学
背景情况:
- 三元交互,即第三个节点影响一对,是生物和生态系统的关键.
- 之前的研究表明,随机图的三元透会导致混乱的动态.
- 现实世界的网络通常具有局部的,空间嵌入的三元交互.
研究的目的:
- 调查局部三元相互作用对空间网络的影响.
- 为了描述由此产生的巨型组件的时空调制.
- 分析三元透的拓模式和信息内容.
主要方法:
- 在空间嵌入网络上对三元交互的模拟.
- 拓数据分析用于模式分类 (条纹,章鱼,小集群).
- 使用和复杂度指标评估信息内容.
主要成果:
- 空间三元相互作用诱导了巨型组件的复杂的时空调制.
- 显而易见的拓模式 (条纹,章鱼,小集群) 出现.
- 确定了动态的多稳定性和一个全面的相位图.
结论:
- 空间网络中的三元交互导致了新的,时间变化的巨型组件拓.
- 这个框架适用于动态系统,特别是在神经科学中.
- 该研究扩大了对在现实的网络环境中透理论的理解.
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