Synchronisation between two different networks with multi-weights and its application in public traffic network

ABSTRACT

The paper established a conventional bus traffic network and a subway network by using the method of space R based on the existing public traffic network model. Regarding these two networks as the sub-networks, this paper presented a new two-layer-coupled public traffic network with multi-weights through the transfer relationship between conventional bus lines and subway lines. Every edge of this model’s two sub-networks has one or several different property weights, and the coupling edges between two sub-networks have one weight. Based on the method of network split, the paper splits the complex networks with multi-weights into several different single-weighted two-layer-coupled public traffic networks and then investigates its global synchronisation. Finally, according to the synchronisation theory of coupling networks with multi-weights and taking ‘Lorenz system’ as the network node, some numerical examples are given to show the impact of congestion degree, passenger-flow density, transfer degree and capacity matching degree to the two-layer-coupled public traffic network balance.

KEYWORDS:

• Two-layer-coupled network
• multi-weights
• network split
• synchronisation
• balance

Disclosure statement

The authors have declared that no conflict of interests exists.

Additional information

Funding

This work was supported by National Natural Science Foundation of China [grant number 61863022] and by Lanzhou Jiaotong University Youth Scientific Research Fund Project [grant number 2018020].

Notes on contributors

Wenju Du

Wenju Du was born in 1987. Since 2016 he has been with the School of Traffic and Transportation of Lanzhou Jiaotong University, where he is now an assistant. He received the B.S. degree from the School of Mathematics and Statistics of Hexi University and M.S. degree in the School of Mathematics and Physics of Lanzhou Jiaotong University. And he is now studying for a doctorate in the School of Traffic and Transportation of Lanzhou Jiaotong University. His current research interests mainly include nonlinear dynamics, complex networks, and transportation planning and management.

Yinzhen Li

Yinzhen Li is a professor at Lanzhou Jiaotong University. He received his Ph.D. degree from SouthWest JiaoTong University, China, in 2005. Tens of millions of National talents Project National candidates, recipients of Government allowances under the State Council, Zhan Tianyou Science and Technology Award winner, the first batch of Science and Technology Top talents in the Ministry of Railways, a Cross-century academic Leader in Gansu Province and so on. His research interests mainly include transportation planning and management, logistics management and management science and engineering.

Jiangang Zhang

Jiangang Zhang is a professor at Lanzhou Jiaotong University. He received the B.S. degree from the School of Mathematics and Statistics of Lanzhou University, M.S. degree from the School of Mathematics and Physics and Ph.D. degree from the School of Traffic and Transportation of Lanzhou Jiaotong University. His research interests mainly include nonlinear system modelling and numerical calculation.

Jianning Yu

Jianning Yu is a professor at Lanzhou Jiaotong University. He received his M.S. degree from the School of Mathematics and Statistics of Lanzhou University, China, in 1989. His research interests mainly include transportation planning and management, logistics management and management science and engineering.