Abstract
In order to study the dynamic characteristics of urban public traffic network, this paper establishes the conventional bus traffic network and the urban rail traffic network based on the spaceRmodeling method. Then regarding these two networks as the subnetwork, the paper presents a new bilayer coupled public traffic network through the transfer relationship between subway and bus, and this model well reflects the connection between the passengers and bus operating vehicles. Based on the synchronization theory of coupling network with time-varying delay and taking “Lorenz system” as the network node, the paper studies the synchronization of bilayer coupled public traffic network. Finally, numerical results are given to show the impact of public traffic dispatching, delayed departure, the number of public bus stops between bus lines, and the number of transfer stations between two traffic modes on the bilayer coupled public traffic network balance through Matlab simulation.
Highlights
Synchronization of complex networks is an important subject of study dynamics of complex networks; in recent years, many scholars have studied in depth the synchronization of complex networks [1–10]
This paper presents a new complex network synchronization model and designs an adaptive controller to make the two different networks achieve synchronization based on the LaSalle invariable principle
The meaning of urban public traffic network balance is that there is a dynamic balance between running vehicles and passengers; that is, the running time of public traffic vehicles is closest to preset time, and the retention time of the passengers in traffic stations is shortest [25]
Summary
Synchronization of complex networks is an important subject of study dynamics of complex networks; in recent years, many scholars have studied in depth the synchronization of complex networks [1–10]. Chen et al [13] presented a general network model for two complex networks with time-varying delay coupling and derived a synchronization criterion by using the adaptive controllers. Wang et al [14] designed an adaptive controller to achieve synchronization between two different complex networks with time-varying delay coupling. The synchronization problem of this model is studied by using the synchronization theory of two different complex networks with time-varying delay coupling. − μ ∑ (cij + dij) xj (t − τ (t)) − giei (t) , j=N2 +1 can make driving network (1) and response network (2) realize synchronization, where ei(t) = yi(t) − xi(t), ġi = ki‖ei‖2, and ki is a positive constant, i = 1, 2, .
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