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This paper studies the synchronization of complex dynamical networks with multilinks and similar nodes. The dynamics of all the nodes in the networks are impossible to be completely identical due to the differences of parameters or the existence of perturbations. Networks with similar nodes are universal in the real world. In order to depict the similarity of the similar nodes, we give the definition of the minimal similarity of the nodes in the network for the first time. We find the threshold of the minimal similarity of the nodes in the network. If the minimal similarity of the nodes is bigger than the threshold, then the similar nodes can achieve synchronization without controllers. Otherwise, adaptive synchronization method is adopted to synchronize similar nodes in the network. Some new synchronization criteria are proposed based on the Lyapunov stability theory. Finally, numerical simulations are given to illustrate the feasibility and the effectiveness of the proposed theoretical results.

The development of high voltage direct current (DC) cables poses new challenges to insulation. The electrical properties of silicone rubber (SiR) limit its application as cable accessories at high voltage levels. Therefore, this article attempted to add two kinds of voltage stabilizers with high electron affinity into the SiR to improve its DC electrical properties. The preferred addition percentage was initially determined by the breakdown strength. Properties such as conductivity, dielectric losses, and space charge distribution were also measured. The results showed that the DC electrical properties of organically modified SiR had improved comprehensively. There might be two reasons. First, the voltage stabilizer has a high electron affinity, which means it can trap high-energy electrons, thus reducing the number of carriers and mobility. In addition, it has an electric field gradient effect, which can homogenize the electric field by migration.

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