作者
Reik V Donner, Yong Zou, Jonathan F Donges, Norbert Marwan, Jürgen Kurths
发表日期
2010/3/15
期刊
New Journal of Physics
卷号
12
期号
3
页码范围
033025
出版商
IOP Publishing
简介
This paper presents a new approach for analysing the structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency matrix of an associated complex network, which links different points in time if the considered states are closely neighboured in phase space. In comparison with similar network-based techniques the new approach has important conceptual advantages, and can be considered as a unifying framework for transforming time series into complex networks that also includes other existing methods as special cases. It has been demonstrated here that there are fundamental relationships between many topological properties of recurrence networks and different nontrivial statistical properties of the phase space density of the underlying dynamical system. Hence, this novel interpretation …
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