Synchronization analysis of complex networks with multi-weights and its application in public traffic network

Xin-lei An, Li Zhang, Yin-zhen Li and Jian-gang Zhang

Physica A: Statistical Mechanics and its Applications, 2014, vol. 412, issue C, 149-156

Abstract: On the basis of traditional weighted network, we study a new complex network model with multi-weights, which has one or several different types of weights between any two nodes. According to the method of network split, we split the complex network with multi-weights into several different complex networks with single weight, and study its global synchronization. Taking bus lines as the network nodes, a new public traffic roads network model with multi-weights is established by the proposed network model and space R modeling approach. Then based on the Lyapunov stability theory, the criteria is designed for the global synchronization of the public traffic roads networks with multi-weights. By changing the different weights and taking the Lorenz chaotic system for example, some numerical examples are given to discuss the balance of the whole public traffic roads network.

Keywords: Complex network with multi-weights; Network split; Complex network synchronization; Public traffic roads network; Network balance (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:412:y:2014:i:c:p:149-156

DOI: 10.1016/j.physa.2014.06.033

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