具有动态行为的加权网络的弹性,抵御多节点移除
Ziwei Yuan1,2, Changchun Lv3, Dongli Duan3
1School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China.
Chaos (Woodbury, N.Y.)
|September 3, 2024
概括
这项研究通过使用维度缩小来简化复杂的加权网络. 它揭示了对于流行系统来说,较高的权重增加了网络弹性,与其他研究的系统不同.
科学领域:
- 网络科学 网络科学
- 复杂系统分析 复杂系统分析
- 动态系统理论 动态系统理论
背景情况:
- 现实世界的网络往往具有加权的交互,对于理解系统行为至关重要.
- 这些加权网络易受微小干扰导致的级联故障的影响.
- 预测多维加权系统的行为在计算上具有挑战性.
研究的目的:
- 开发一个维度缩小技术来分析多维加权网络动态.
- 研究相互作用权重对四个不同的动态系统的弹性的影响.
- 了解不同的权重分配方法如何影响网络弹性.
主要方法:
- 提出了一种维度减小技术,将多维系统简化为一维状态空间.
- 将该技术应用于四个动态系统:生物化学 (B),流行病 (E),调节 (R) 和出生死亡 (BD).
- 根据各种权重分配方法,研究了网络权重和系统活动之间的相关性.
主要成果:
- 对于生物化学 (B) 系统,权重与网络活动有负相关性.
- 对于流行病 (E),监管 (R) 和出生死亡 (BD) 系统,权重与网络活动具有正相关性.
- 流行病 (E) 系统在更大的重量下显示出更高的弹性,而B,R和BD系统显示出重量变化的最小影响.
结论:
- 缩小尺寸有效地简化了加权网络弹性分析.
- 在不同类型的动态系统中,重量-弹性关系的差异很大.
- 流行病系统的弹性受到相互作用权重的积极和显著影响.
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