动态拓和透关键性在高阶活动-脆弱性驱动的网络中
Zihao Song1,2,3, Xiao-Dong Zhang1,2,3
1School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.
Chaos (Woodbury, N.Y.)
|December 24, 2025
概括
我们引入了高阶活动-脆弱性驱动 (HOAVD) 网络,这是一个新模型,可以捕捉连接的形成和解散. 这一框架揭示了阶段过渡,并提供了对网络动态的更全面的理解.
科学领域:
- 网络科学 网络科学
- 复杂系统动力学 复杂系统动力学
- 计算社会科学 计算社会科学
背景情况:
- 时间上层网络对于预测信息传播和系统弹性等现象至关重要.
- 现有的模型,如高阶活动驱动框架,主要关注连接形成,忽视节点解散,这可能会偏向对网络演变和稳定性的预测.
研究的目的:
- 引入一个新的框架,高阶活动-脆弱性驱动 (HOAVD) 网络,同时模拟超边缘的形成和解体.
- 分析由节点活动和漏洞的相互作用引起的动态相位过渡.
- 导出网络拓性质的分析表达式,并确定全系统透的关键条件.
主要方法:
- 开发HOAVD网络模型,将节点活动和对超边缘动态的脆弱性纳入其中.
- 分析推导网络拓性质和透条件.
- 使用现实世界的数据进行数值模拟,以验证分析结果.
主要成果:
- 在HOAVD框架中,在一个特征性的时间尺度上,逐渐的动态阶段过渡,将动态分为活动主导和平衡的制度.
- 导出了拓性质的分析表达式和在平衡状态下透的临界平衡条件.
- 关键平衡条件强调了连接性对活动和脆弱性分布之间的相互作用的敏感依赖,这是以前被忽视的机制.
结论:
- HOAVD网络框架提供了一种更全面,更有物理基础的方法来理解时间上层网络动态.
- 这些发现提供了对时间依赖网络拓学和管理网络演变的基本机制的关键见解.
- 该框架增强了预测和控制各种系统动态的能力,包括社会,生物和技术网络.
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