高低阶耦合网络的鲁棒性研究

Study on the Robustness of High-low-order Coupling Networks

为了深入理解现实网络系统中的相互依赖关系,解决复杂网络及其高阶网络面临的级联故障问题。提出了一种高低阶耦合网络模型,该模型用于描述复杂网络(低阶网络)及其高阶组织(高阶网络)之间的相互依赖。通过对高低阶耦合网络进行随机攻击来分析其脆弱性。研究表明,与单独的低阶网络相比,高低阶耦合网络在面对随机攻击时表现出更高的脆弱性。这一结果强调了在设计和管理复杂网络系统时考虑高低阶网络相互依赖关系的重要性,尤其是在防止级联故障时需要特别关注这些相互依赖结构的脆弱性。

This paper proposes a high-low-order coupled network model to gain a deeper understanding of the interdependent relationships in real-world network systems and address the cascade failure issues faced by complex networks and their higher-order networks.This model describes the interdependencies between complex networks(lower-order networks)and their higher-order organizations(higher-order networks).Their vulnerability is analyzed by subjecting the high-low-order coupled networks to random attacks.The study reveals that high-low-order coupled networks exhibit greater vulnerability to random attacks than standalone lower-order networks.This finding underscores the importance of considering the interdependencies between high and low-order networks in designing and managing complex network systems,particularly in preventing cascade failures,where special attention should be paid to the vulnerabilities of these interdependent structures.