混合相互依赖的高阶网络的稳定性
Xiaowei Chen1, Jiaxu Li2, Ming Zhong3
1Medical College, Jinhua University of Vocational Technology, Jinhua 321016, China.
Chaos (Woodbury, N.Y.)
|December 16, 2025
概括
本研究介绍了一种混合相互依赖的高阶网络模型. 该模型通过整合低级和高级关系来准确预测系统的稳定性,这对于像网络物理系统 (CPS) 这样的复杂系统至关重要.
科学领域:
- 网络科学 网络科学
- 复杂系统分析 复杂系统分析
- 网络物理系统 (CPS)
背景情况:
- 现实世界的系统表现出复杂的相互作用,包括对 (低级) 和组 (高级) 的关系.
- 现有的模型往往只关注低阶交互或高阶交互,未能捕捉系统与两者.
- 网络物理系统 (CPS) 是这种复杂性的例子,具有通信 (低级) 和物理近距离 (高级) 网络.
研究的目的:
- 开发和分析一种新的混合相互依赖的高阶网络模型.
- 在一个统一的框架内,将低阶关系和高阶关系纳入一个统一的框架.
- 系统地评估这种混合模型对节点移除的稳定性.
主要方法:
- 提出了一个统一的理论框架来分析混合相互依赖的高阶网络.
- 使用超图表表示更高阶关系.
- 通过随机删除节点进行了系统的稳定性分析.
- 在具有多样化的拓结构的人工和现实世界网络上进行了实验.
主要成果:
- 网络稳定性的理论预测与模拟结果具有很高的一致性.
- 混合模型有效地捕捉了低阶依赖关系和高阶依赖关系的相互作用.
- 证明了该模型在各种网络拓中的适用性.
结论:
- 混合相互依赖的高阶网络模型提供了更现实的复杂系统的表现.
- 这些发现加深了对混合交互类型系统中的稳定性的理解.
- 提供了新的理论见解,以提高相互依存网络中的弹性和故障预防.
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