Symbolic recurrence plots to analyze dynamical systems

被引：25
|
作者：
Victoria Caballero-Pintado, M. [1 ]
Matilla-Garcia, Mariano [2 ]
Ruiz Marin, Manuel [3 ]
机构：
[1] Univ Murcia, Dept Metodos Cuantitat Econ & Empresa, Campus Espinardo, E-30100 Murcia, Spain
[2] UNED, Dept Econ Aplicada & Estadist, Paseo Senda del Rey 11, Madrid 28040, Spain
[3] Univ Politecn Cartagena, Dept Metodos Cuantitat & Informat, Cartagena 30201, Spain
来源：
CHAOS | 2018年 / 28卷 / 06期
关键词：
QUANTIFICATION ANALYSIS;
D O I：
10.1063/1.5026743
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper, based on the concept of symbolic correlation integral, introduces a set of symbolic recurrence plots and associated invariant measures, which are independent of the distance parameter, serving as a tool for quantifying the dynamic structure. These new measures allow the study of transient behavior, coexistence of attractors, bifurcations, and structural change. The final user does not have to choose the free distance parameter. An empirical application to electrocardiography data illustrates the use of symbolic recurrence measures. Published by AIP Publishing.
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收藏
页数：15
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