Mapping dynamical systems onto complex networks

被引：0
|
作者：
E. P. Borges
D. O. Cajueiro
R. F.S. Andrade
机构：
[1] Escola Politécnica,Departamento de Economia
[2] Universidade Federal da Bahia,undefined
[3] Universidade Católica de Brasília,undefined
[4] Instituto de Física,undefined
[5] Universidade Federal da Bahia,undefined
来源：
The European Physical Journal B | 2007年 / 58卷
关键词：
89.75.Fb Structures and organization in complex systems; 89.75.Hc Networks and genealogical trees; 02.10.Ox Combinatorics; graph theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The objective of this study is to design a procedure to characterize chaotic dynamical systems, in which they are mapped onto a complex network. The nodes represent the regions of space visited by the system, while the edges represent the transitions between these regions. Parameters developed to quantify the properties of complex networks, including those related to higher order neighbourhoods, are used in the analysis. The methodology is tested on the logistic map, focusing on the onset of chaos and chaotic regimes. The corresponding networks were found to have distinct features that are associated with the particular type of dynamics that generated them.
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页码：469 / 474
页数：5
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