在非定向网络上的动态系统中不稳定的起源
Shraosi Dawn1, Subrata Ghosh2, Chandrakala Meena3
1International Institute of Information Technology Hyderabad, Center for Computational Natural Sciences and Bioinformatics, Gachibowli, Hyderabad 500032, Telangana, India.
Physical review. E
|February 20, 2026
概括
复杂的系统复杂的系统.
科学领域:
- 复杂系统分析 复杂系统分析
- 网络动态 网络动态
- 数学生物学 数学生物学
背景情况:
- 在流行病学和生物化学等领域的复杂系统中,对干扰的稳定性至关重要.
- 了解扰动如何在联网动态系统中演变是预测系统行为的关键.
研究的目的:
- 分析网络动态系统的雅可比矩阵的自身光谱.
- 确定网络结构如何影响稳定性和扰动动态.
主要方法:
- 对网络动态系统的雅可比矩阵进行 Eigenspectrum 分析.
- 调查频谱异常值与系统稳定性之间的关系.
- 检查节点度 (低,高或均) 在不稳定性中的作用.
主要成果:
- 系统稳定性是由光谱异常值决定的,系统之间有自身向量差异.
- 不稳定性可以从极端程度的节点或在整个网络中均地产生.
- 极端度的依赖性导致有限大小的效应,根据度分布变化的缩放.
结论:
- 该研究提供了对复杂的网络系统稳定性的见解.
- 这些发现适用于网络监控,用于故障预测和预防.
- 分析结果使用流行病动态和基因调控网络模型进行验证.
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