Entropy Analysis of a Railway Network's Complexity

被引：16
|
作者：
Valerio, Duarte [1 ]
Lopes, Antonio M. [2 ]
Tenreiro Machado, Jose A. [3 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, IDMEC, Ave Rovisco Pais 1, P-1049001 Lisbon, Portugal
[2] Univ Porto, Fac Engn, UISPA LAETA INEGI, Rua Dr Roberto Frias, P-4200465 Oporto, Portugal
[3] Polytech Porto, Inst Engn, Dept Elect Engn, R Dr Antonio Bernardino de Almeida 431, P-4249015 Oporto, Portugal
来源：
ENTROPY | 2016年 / 18卷 / 11期
关键词：
railway network; entropy; fractal dimension; fractional calculus; FRACTIONAL CALCULUS; GENERALIZED INFORMATION; SYSTEM; STATISTICS; TRANSPORT; DYNAMICS;
D O I：
10.3390/e18110388
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Railway networks are among the many physical systems that reveal a fractal structure. This paper studies the Portuguese railway system, and analyzes how it evolved over time, namely what concerns the structure of its different levels, and its distribution over the territory. Different mathematical tools are adopted, such as fractal dimension, entropy and state space portrait. The results are consistent with the historical evolution of the network.
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收藏
页数：12
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