Phase transition of RN-ERN coupled network in failure recovery process

Abstract We simulate the failure recovery process and study phase transition from high network activity (HNA) state to low (LNA) of coupled consisting a regular (RN) an Erdos-Rényi (ERN). Two mechanisms are considered, internal external recovery, in process. find that evolution is crucially dependent on coupling strength c between two subnetworks possibility r since RN sensitive recovery. A weak can drive coevolution when ≈ 1.0, while synchronous HNA-LNA needs stronger occur smaller. The enhances robustness which makes more difficult take place.