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中文摘要：
给出了连边指数加速增长有向网络模型、连边对数加速增长有向网络模型和节点指数加速增长网络模型，并运用Poisson过程理论分析了它们的度分布。探讨了非平稳增长网络的增长速度和幂指数的对应变化关系，发现适当的增长速度能使网络保持稳态无标度性；幂指数值与增长速度呈反方向变化．
英文摘要：
A directed network model with exponent accelerating growth of edges, a directed network model with logarithm accelerating growth of edges and a network model with exponent accelerating growth of nodes are presented. Using the theory of Poisson process, the degree distribution is analytically obtained. The corresponding relationship between accelerating growth velocity and power-law exponents of non-stationary growth networks is discussed. It is founded that the stationary scale-free characteristic is maintained only within a suitable accelerating growth velocity and the value of the power-law exponent changes in the opposite direction of the accelerating growth.
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