Onset of cooperation between layered networks

被引：69

作者：

Gu, Chang-Gui ^{[1
]}

Zou, Sheng-Rong ^{[1
]}

Xu, Xiu-Lian ^{[1
]}

Qu, Yan-Qing ^{[1
]}

Jiang, Yu-Mei ^{[1
]}

He, Da Ren ^{[1
]}

Liu, Hong-Kun ^{[2
]}

Zhou, Tao ^{[3
,4
,5
]}

机构：

[1] Yangzhou Univ, Coll Phys Sci & Technol, Yangzhou 225002, Peoples R China

[2] S Western Univ Finance & Econ, Sch Stat, Chengdu 610074, Peoples R China

[3] Univ Elect Sci & Technol China, Web Sci Ctr, Chengdu 610054, Peoples R China

[4] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China

[5] Univ Fribourg, Dept Phys, CH-1700 Fribourg, Switzerland

来源：

PHYSICAL REVIEW E | 2011年 / 84卷 / 02期

基金：

中国国家自然科学基金;

关键词：

STATIONS;

D O I：

10.1103/PhysRevE.84.026101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Functionalities of a variety of complex systems involve cooperations among multiple components; for example, a transportation system provides convenient transfers among airlines, railways, roads, and shipping lines. A layered model with interacting networks can facilitate the description and analysis of such systems. In this paper we propose a model of traffic dynamics and reveal a transition at the onset of cooperation between layered networks. The cooperation strength, treated as an order parameter, changes from zero to positive at the transition point. Numerical results on artificial networks as well as two real networks, Chinese and European railway-airline transportation networks, agree well with our analysis.

引用

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