Risk Assessment of Heterogeneous CPS Systems Under Different Proportions of Links

In this paper, we study a new coupled network model that multiple equal-mixed models to study the security of the coupled system in distributed heterogeneous environments. We propose a method for analyzing cascading failures, in which we can derive the critical threshold of the coupled system. Then we verify the correctness of the critical threshold by simulation experiments. And the simulation experiments are concluded that the coupled system exhibits a first-order phase transition near the critical threshold. The analytical methods we propose in this paper can analyze the wide range of applicability of coupling systems at various scales.