在具有定向支持链接的双边网络中发生级联故障
Bo Tong1, David S Roth2, Sergey V Buldyrev2,3
1Department of Mathematics, <a href="https://ror.org/045x93337">Yeshiva University</a>, New York, New York 10033, USA.
Physical review. E
|July 18, 2024
概括
我们使用生成函数在定向相互依赖的网络中模拟级联失败. 较低的平均度提高了系统对灾难性崩的弹性,反映了液态气体过渡.
科学领域:
- 网络科学 网络科学
- 统计物理 统计物理
- 复杂的系统复杂的系统.
背景情况:
- 相互依赖的网络容易发生级联故障.
- 与双向链接相比,方向链接带来了独特的漏洞.
- 了解系统对攻击的弹性对于基础设施稳定至关重要.
研究的目的:
- 在定向相互依赖的网络中模拟级联故障.
- 分析度分布对故障动态的影响.
- 调查系统弹性和过渡行为.
主要方法:
- 使用生成函数形式主义来建模级联过程.
- 开发一组循环关系,基于输入链接的度分布.
- 进行模拟与各种输出链接度分布 (克罗内克三角形,Poisson,帕雷托).
- 分析性地比较定向和双向网络的脆弱性.
主要成果:
- 级联过程是准确地模拟的递归关系依赖于进入的度分布.
- 模拟结果与大型网络的理论预测一致.
- 平均度较低的系统对突然过渡具有更大的弹性.
- 在统计力学中建立了系统转换和液态气体转换之间的等价性.
结论:
- 生成函数为分析定向网络中的级联故障提供了一个强大的框架.
- 网络弹性受到平均程度和链接方向性的显著影响.
- 这项研究提供了预测系统崩及其相位过渡的类比的见解.
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