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Nonlinear Bifurcations of Psychological Stress Negotiation: New Properties of a Formal Dynamical Model

机译:心理压力谈判的非线性分歧:形式动力模型的新性质

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摘要

Dynamical systems analysis is applied to a nonlinear model of stress and coping (Neufeld, 1999). The model is composed of 6 order parameters and 11 control parameters, and integrates core constructs of the topic domain, including variants of cognitive appraisal, differential stress susceptibility, stress activation, and coping propensity. In part owing to recent advances in Competitive Modes Theory (Yao, Yu & Essex, 2002), previously intractable but substantively significant dynamical properties of the 6-dimensional model are identified. They include stable and unstable fixed-point equilibria (higher-dimensional saddle-node bifurcation), oscillatory patterns attending fixed-point de-stabilization, and chaotic behaviors. Examination of the nature of system fixed-point de-stabilization, in relation to its control parameters, unveils mechanisms of re-stabilization, and dynamic stability control. All identified dynamics emerge naturally from a system whose construction guideposts are lodged in the addressed content domain. Dynamical complexities therefore may be intrinsic to the present content domain, possibly no less so than in other disciplines where the presence of such attributes has been established.
机译:动态系统分析被应用于应力和应对的非线性模型(Neufeld,1999)。该模型由6个顺序参数和11个控制参数组成,并集成了主题领域的核心构造,包括认知评估,差异性压力敏感性,压力激活和应对倾向的变量。在某种程度上由于竞争模式理论的最新发展(Yao,Yu&Essex,2002年),可以确定6维模型先前难以处理但具有实质意义的动力学特性。它们包括稳定和不稳定的定点平衡(高维鞍节点分叉),伴随定点去稳定的振荡模式以及混沌行为。关于系统定点去稳定的性质及其控制参数的检验,揭示了重新稳定和动态稳定控制的机制。所有已识别的动力都自然地来自于系统,该系统的构造路标放置在所寻址的内容域中。因此,动态复杂性可能是当前内容域固有的,可能不低于已经建立了此类属性的其他学科。

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