Modeling Topology and Nonlinear Dynamical Behavior of theWeighted Scale-Free Networks

An improved weighted scale-free network, which has two evolutionmechanisms: topological growth and strength dynamics, has beenintroduced. The topology structure of the model will be exploredin details in this work. The evolution driven mechanism ofOlami-Feder-Christensen (OFC) model is added to our model to studythe self-organized criticality and the dynamical behavior. We alsoconsider attack mechanism and the study of the model with attackis also investigated in this paper. We find there are differencesbetween the model with attack and without attack.