Physica A: Statistical Mechanics and its Applications ( IF 3.3 ) Pub Date : 2013-09-09 , DOI: 10.1016/j.physa.2013.09.005 Hai-Tian Zhang , Tao Yu , Jian-Ping Sang , Xian-Wu Zou
Airport networks are a kind of complex systems that display significant fluctuations. To describe this kind of phenomena a dynamical fluctuation model is proposed. In this model the fluctuations in growth rates of weight are exponential. There are two adjustable parameters: the exponent and the creation probability of a new node. characterizes the tendency to retain an “optimal” allocation of weights (size of components) for a given kind of networks. reflects the interactive effect between the weight fluctuation and variation of nodes and links (topological structure) for each real network. For airport networks the exponent is 0.4 and the creation probability is equal to 0.018 (China), 0.025 (US), 0.03 (Brazil) and 0.04 (Europe). This model quantitatively describes and reproduces these real airport networks.