自组织临界动力学分形网络的简单模型
Simple model of fractal networks formed by self-organized critical dynamics
摘要：
本文提出了一个简单的动力学模型，其中分形网络形成的自组织临界（SOC）动力学，所提出的模型由增长和崩溃过程。结果表明，SOC动态是由模型中的组合过程实现的。因此，在稳态下，团簇尺寸和坍缩尺寸的分布遵循幂律函数。此外，通过SOC动力学，网络成为分形的性质。SOC动力学的临界性与平均场论的普适性类相同。该模型解释了复杂网络中的分形性质出现SOC动力学的方式类似的情况下，分形对象嵌入在欧几里得空间的可能性。
英文摘要：
In this paper, a simple dynamical model in which fractal networks are formed by self-organized critical (SOC) dynamics is proposed; the proposed model consists of growth and collapse processes. It has been shown that SOC dynamics are realized by the combined processes in the model. Thus, the distributions of the cluster size and collapse size follow a power-law function in the stationary state. Moreover, through SOC dynamics, the networks become fractal in nature. The criticality of SOC dynamics is the same as the universality class of mean-field theory. The model explains the possibility that the fractal nature in complex networks emerges by SOC dynamics in a manner similar to the case with fractal objects embedded in a Euclidean space.
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