Traffic-driven epidemic outbreak on complex networks: How long does it take?
Han-Xin Yang, Wen-Xu Wang, and Ying-Cheng Lai
Recent studies have suggested the necessity to incorporate traffic dynamics into the process of epidemic spreading on complex networks, as the former provides support for the latter in many real-world situations. While there are results on the asymptotic scope of the spreading dynamics, the issue of how fast an epidemic outbreak can occur remains outstanding.
Finite-time mixed outer synchronization of complex networks with coupling time-varying delay
Ping He, Shu-Hua Ma, and Tao Fan
This article is concerned with the problem of finite-time mixed outer synchronization (FMOS) of complex networks with coupling time-varying delay. FMOS is a recently developed generalized synchronization concept, i.e., in which different state variables of the corresponding nodes can evolve into finite-time complete synchronization, finite-time anti-synchronization, and even amplitude finite-time death simultaneously for an appropriate choice of the controller gain matrix.
Spectral coarse graining for random walks in bipartite networks
Yang Wang, An Zeng, Zengru Di, and Ying Fan
Many real-world networks display a natural bipartite structure, yet analyzing and visualizing large bipartite networks is one of the open challenges in complex network research. A practical approach to this problem would be to reduce the complexity of the bipartite system while at the same time preserve its functionality.
Nucleation pathways on complex networks
Chuansheng Shen, Hanshuang Chen, Miaolin Ye, and Zhonghuai Hou
Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in homogeneous and heterogeneous networks using the forward flux sampling method, and find that the nucleation processes represent distinct features along pathways for different network topologies.
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