Cascades in coupled map lattices with heterogeneous distribution of perturbations

• Published in: Physica A 2020-06, Vol.547, p.123839, Article 123839
• Main Authors: Xu, Kai-Jun, Hong, Chen, Zhang, Xu-Hong, Sun, Qing-Hua, He, Ning, Xiao, Ming-Ming
• Format: Article
• Language: English
• Subjects: Cascades; Coupled map lattices; Network robustness; Perturbation distribution
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.123839

As an important aspect of network robustness, cascading failure in complex networks has attracted a tremendous amount of interest in recent years. In the paper, we propose a novel cascading failure model of coupled map lattices by introducing heterogeneous distribution of perturbations, where a number of nodes are perturbed at the initial attack. The performance of four general attacking strategies are explored, which shows that high-betweenness strategy outperforms three other attacking strategies when heterogeneous perturbation mechanism is adopted. The results also indicate that increasing the coupling strength on direct neighbors can make the network more vulnerable and accelerate the propagation speed of cascades. And a more compact network structure will restrain the range and the propagation speed of cascading failures. We verify the influence of the heterogeneous perturbation principle on two real-world networks. In general, the effect on two real networks is in good accordance with that of BA scale-free networks, which means that the model can serve as a powerful tool to study realistic network robustness against cascades. Our work gains insight into the robustness and vulnerability of complex networked systems with respect to cascading failures. •We propose a CML-based cascading failure model with heterogeneous distribution of perturbations.•The efficiency of high-betweenness strategy on scale-free networks is extensively investigated.•We verify the effect of the perturbation distribution strategy on two real-world networks.