Abstract

Complex networks are nonlinear dynamic systems. The dynamics of a complex network is the local dynamics of all ensemble at the microscopic level, coupled with the global dynamics at the macroscopic level. At the macroscopic level, the connections between each ensemble contain energy that couples the ensembles to evolve toward the state of consensus. Both the local and global dynamics are nonlinear and time-dependent. The level of coupling between each ensemble pair is affected by the energy that characterizes the connection of each ensemble pair. As the connection energy is time-dependent, consequently, the relation between each ensemble pair is dynamic as well. Since the energy of each connection can be different, the dynamic distribution of the connection energy is a key factor for defining the global dynamics of a complex network. While statistical entropy can be applied to define the distribution of energy among all connections, the global dynamics of a complex network can be defined by regulating the entropy of the connection energy distribution. As the global dynamics of a complex network can be defined by entropy, the correlation between statistical entropy and network dynamics is investigated.

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