Symbolic recurrence plots to analyze dynamical systems.

Symbolic recurrence plots to analyze dynamical systems.
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用于分析动力系统的符号递归图。

DOI:
10.1063/1.5026743
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发表时间:
2018
期刊:
影响因子:
2.9
通讯作者:
Manuel Ruiz Marín
Manuel Ruiz Marín
中科院分区:
数学2区
文献类型:
--
作者:
M. V. Caballero;M. Matilla;Manuel Ruiz Marín

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本文基于符号相关积分的概念,引入了一组与距离参数无关的符号递归图和相关的不变测度,作为量化动态结构的工具。这些新的措施允许研究瞬态行为,共存的吸引子,分叉和结构变化。最终用户不必选择自由距离参数。心电图数据的实证应用说明了符号递归措施的使用。
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.
DOI: 10.1007/s11571-007-9023-z
发表时间: 2007-12-01
影响因子: 3.7
作者:
Schinkel, Stefan;Marwan, Norbert;Kurths, Juergen
通讯作者: Kurths, Juergen