NOMINAL CROSS RECURRENCE AS A GENERALIZED LAG SEQUENTIAL ANALYSIS FOR BEHAVIORAL STREAMS

NOMINAL CROSS RECURRENCE AS A GENERALIZED LAG SEQUENTIAL ANALYSIS FOR BEHAVIORAL STREAMS
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DOI:
10.1142/s0218127411028970
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发表时间:
2011-04-01
影响因子:
2.2
通讯作者:
Richardson, Daniel C.
Richardson, Daniel C.
中科院分区:
数学4区
文献类型:
--
作者:
Dale, Rick;Warlaumont, Anne S.;Richardson, Daniel C.

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我们简要介绍了行为流的滞后序列分析,这是心理学中量化两个名义时间序列之间关系的常用方法。交叉递归量化分析(CRQA)显示作为这种技术的扩展,我们将CRQA的这种名义上的应用程序,在人类互动的眼动数据。此外,我们证明名义CRQA在一个简单的耦合逻辑映射模拟在以前的通信研究中使用,允许调查的非线性系统,如分叉和发病混沌的属性,即使在流粗粒化耦合非线性模型。最后,我们总结了CRQA探索两个行为流之间的关系的重要性,并回顾了最近的理论趋势,在认知科学,这将是有用的通知和类似的非线性方法。我们希望这项工作将鼓励科学家感兴趣的一般性质的复杂的,非线性动力系统应用新兴的方法,粗粒度的,名义上的测量单位,因为有一个迫切需要他们的应用在心理领域。
We briefly present lag sequential analysis for behavioral streams, a commonly used method in psychology for quantifying the relationships between two nominal time series. Cross recurrence quantification analysis (CRQA) is shown as an extension of this technique, and we exemplify this nominal application of CRQA to eye-movement data in human interaction. In addition, we demonstrate nominal CRQA in a simple coupled logistic map simulation used in previous communication research, permitting the investigation of properties of nonlinear systems such as bifurcation and onset to chaos, even in the streams obtained by coarse-graining a coupled nonlinear model. We end with a summary of the importance of CRQA for exploring the relationship between two behavioral streams, and review a recent theoretical trend in the cognitive sciences that would be usefully informed by this and similar nonlinear methods. We hope this work will encourage scientists interested in general properties of complex, nonlinear dynamical systems to apply emerging methods to coarse-grained, nominal units of measure, as there is an immediate need for their application in the psychological domain.