连锁故障发生在由定向和双向超链接连接的网络网络网络中
David S Roth1, Bo Tong2, Amir Bashan3
1Yeshiva University, Department of Physics, New York 10033, USA.
Physical review. E
|February 20, 2025
概括
我们在相互连接的网络 (NON) 中建模了级联失效. 失败的顺序不会影响最终的节点功能;只有网络拓才是重要的. 随着越来越多的超链接,出现了多个关键点.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 统计物理 统计物理
背景情况:
- 在相互连接的系统中,级联故障至关重要.
- 以前的模型专注于单个或双方网络,具有依赖性超链接.
- 需要将透理论推广到复杂的网络中的网络 (NON) 结构中.
研究的目的:
- 为了将异质的k-core透到网络的网络 (NONs) 中进行概括.
- 用定向和双向超链接在NON中建模级联故障.
- 分析NON拓对系统弹性的影响.
主要方法:
- 使用生成函数形式主义来建模级联失败.
- 开发一套用于NONs的递归关系.
- 分析系统的行为,使用不同的超链接配置.
主要成果:
- 故障传播的顺序不会影响功能节点的最后部分.
- 非NON可以表现出多个过渡和关键点,取决于超链接数.
- 从双边网络到非组织的过渡和关键点标准的概括.
结论:
- 网络拓仅仅决定了NON中的系统弹性,无论故障顺序如何.
- 超链接的数量直接影响NON中相变的复杂性.
- 具有多个临界点的NON的相图与蛋白质溶液有相似之处,这表明其适用性更广泛.
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