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二元互动的吸引子动力学:基于递归的分析

Attractor Dynamics of Dyadic Interaction: A Recurrence Based Analysis.

作者信息

Guevara Marlenny, Cox Ralf F A, van Dijk Marijn, van Geert Paul

机构信息

Universidad del Valle, Cali, Columbia.

University of Groningen, The Netherlands.

出版信息

Nonlinear Dynamics Psychol Life Sci. 2017 Jul;21(3):289-317.

PMID:28601113
Abstract

The aim of this study was to investigate interpersonal coordination in young children during dyadic problem solving, by using Cross-Recurrence Quantification Analysis (CRQA). We examined the interactions of seven dyads of children (Mage= 5.1 years) in a longitudinal design (6 sessions) with a sequence of problem-solving tasks increasing in difficulty. An innovative implementation of CRQA is presented in order to study the attractor dynamics of dyadic coordination. The analysis consisted of distinguishing two recurrent states in the relationship between children and the task. In other words, the analysis is focused on how the dyadic interaction oscillates between two stable states that for their recurrent presence are considered to be attractors. The distributed dyadic interaction (DDI) state indicates that both children contribute equally to the solution of the task. The unequal dyadic interaction (UDI) state indicating that only one of the children contributes actively to the solution of the task. Results showed that the DDI was more frequent than the UDI but that the dynamics of these two attractor states were quite similar. The behaviors within these states increased in complexity over time, although they did so in DDI more strongly than UDI. The overall recurrence, which indicates the global level of coordination between the individuals in the dyad across all time points, was moderately correlated with the performance of the children.

摘要

本研究的目的是通过使用交叉递归量化分析(CRQA)来调查幼儿在二元问题解决过程中的人际协调。我们采用纵向设计(6个阶段),对七对儿童(平均年龄 = 5.1岁)进行了研究,设置了一系列难度递增的问题解决任务。为了研究二元协调的吸引子动力学,我们提出了一种创新的CRQA实施方法。该分析包括区分儿童与任务之间关系中的两种递归状态。换句话说,该分析关注的是二元互动如何在两种稳定状态之间振荡,由于它们反复出现,被视为吸引子。分布式二元互动(DDI)状态表明两个孩子对任务的解决贡献相等。不平等二元互动(UDI)状态表明只有一个孩子积极参与任务的解决。结果表明,DDI比UDI更频繁,但这两种吸引子状态的动态非常相似。随着时间的推移,这些状态下的行为复杂性增加,尽管在DDI中比在UDI中增加得更强烈。总体递归表示二元组中个体在所有时间点上的全局协调水平,与儿童的表现呈中度相关。

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