定向高级网络的稳定性 定向高级网络的稳定性
Dandan Zhao1, Xianwen Ling1, Xiongtao Zhang2
1School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang, China.
Chaos (Woodbury, N.Y.)
|August 3, 2023
概括
定向的高级网络捕捉复杂的系统交互. 本研究引入了一种透模型来评估它们的稳定性,发现网络异质性削弱了弹性,而高阶边缘则增强了弹性.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 统计物理 统计物理
背景情况:
- 对于像社会和生物网络这样的复杂系统来说,双对相互作用是不够的.
- 定向的高阶网络明确编码多节点相互作用,揭示了丰富的关键现象.
- 定向高级网络的稳定性仍未得到充分探索.
研究的目的:
- 提出一个理论透模型来分析指向的高阶网络的稳定性.
- 研究网络属性如何影响稳定性和关键现象.
- 为预测攻击或故障下网络行为的理论框架提供.
主要方法:
- 开发了针对高阶定向网络的理论透模型.
- 在人工和现实世界的网络数据上使用蒙特卡洛模拟.
- 分析了巨型连接组件的大小和透值.
主要成果:
- 透值受到网络异质性的显著影响,特别是超度分布和超边缘枢纽度.
- 超度或超边缘枢纽分布中异质性增加会削弱网络的稳定性.
- 发现存在更高阶的定向边缘可以增强系统的稳定性.
结论:
- 提出的理论模型准确地预测了指向的高阶网络中的透行为.
- 网络异质性是决定复杂系统脆弱性的关键因素.
- 了解高阶相互作用对于设计强大的复杂系统至关重要.
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