推广的失活网络动力学同步优化

在不改变网络度分布的条件下，研究了推广的失活网络的同步行为。应用特征值比R来衡量网络的同步能力，发现同步能力可以通过改变结构参数———激活节点数M来进行优化。特征值比R随M的变化非常敏感，激活节点数M越大，特征值比R越小，同步能力就越强，且在一定范围内遵循R ~ M^-2.0 的幂律关系。通过引入结构微扰，该网络的同步能力也可以得到有效优化。

We research the synchronizability of the generalized deactivation networks without changing its degree distribution. The synchronizability measured by the eigenratio R can be effectively optimized by adjusting the only parameter, the number of active nodes M. The eigenratio R is shown very sensitive to the M, and larger M will lead to better synchronizability. Furthermore, we find that, in a wide interval, the eigenratio R obeys a approximate power-law in the form of R-M^-2.0. By introducing a perturbation, the synchronizability of network can be effectively optimized.