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首页> 外文会议>World congress of the systems sciences;Annual conference of International Society for the Systems Sciences >STRESS NEGOTIATION AND COPING PROCLIVITY: THE IMPLEMENTATION OF NON-LINEAR DYNAMICAL SYSTEMS THEORY AND ITS ASSOCIATED NUMERICAL DIAGNOSTICS TO QUANTIFY AND EXPOUND A PROTOTYPICAL, MULTI-DIMENSIONAL, CHAOTIC SYSTEM
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STRESS NEGOTIATION AND COPING PROCLIVITY: THE IMPLEMENTATION OF NON-LINEAR DYNAMICAL SYSTEMS THEORY AND ITS ASSOCIATED NUMERICAL DIAGNOSTICS TO QUANTIFY AND EXPOUND A PROTOTYPICAL, MULTI-DIMENSIONAL, CHAOTIC SYSTEM

机译：压力谈判和应对倾向：非线性动力系统理论的实施及其相关的数控诊断量化和阐述原型，多维，混沌系统的量化和阐述

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Non-linear dynamical systems theory ("chaos" theory) is a field of applied mathematics that examines the dynamics of temporally-evolving change in both living and non-living systems. R. W. J. Neufeld has recently proposed a system of 6 non-linear differential equations that mathematically quantifies the changes in one's cognitive and motivational mechanisms during the processes of stress and coping. Via the implementation of numerical diagnostics from "chaos" theory to time series computationally simulated from the 6-dimensional model, various dynamical signatures have become elucidated. Such "fingerprints" commonly known as the Lyapunov exponent, correlation dimension, phase space plots, and Poincare maps have been found to geometrically demonstrate and quantify the temporal non-linearity in this multi-dimensional system. Utilizing a novel methodology, the chaotic attractors of the 6-dimensional system, which may have significant psychological and behavioural implications, have recently been identified. Results have indicated that by employing these quantitative tools, researchers may potentially come closer to more fully comprehending the dynamical nature of stress and coping. Additionally, we may become better able to control and predict maladaptive stress and coping behaviours in the short-term, and their associated psychopathologies. According to the 6-dimensional model, stress and coping processes minimally entail a cumulative exogenous stressor level, motivational arousal, cognitive appraisal and cognitive efficiency, coping behaviour, and self-regulatory mechanisms that appropriate changes to external stressor level and coping activity accordingly. Additionally, while the psychological literature is replete with verbal notions of stress and coping as being dynamic, transactional, and temporally-evolving processes, this 6-dimensional model comprises one of the first attempts ever to quantify these informal statements via the mathematics of applied calculus. Although other researchers have successfully described stress and coping utilizing a substantive cognitive-relational model supported mainly by verbal conjecture and informal reasoning, the present model conveys a prototypical, quantified framework that is systemic, time-dependent, recursive, and bidirectional.
机译：非线性动力学系统理论（“混沌”理论）是应用数学领域，用于检查生活和非生物系统中的时间不断变化的动态。 R.W.J.Neufeld最近提出了6个非线性微分方程的系统，该系统在数学上量化了在压力和应对过程中的认知和动机机制的变化。通过实施来自“混沌”理论的数值诊断到时间序列从6维模型计算地模拟，各种动态签名已经阐明。已经发现这种“指纹”通常称为Lyapunov指数，相关尺寸，相空间图和庞的地图，用于几何上证明和量化该多维系统中的时间非线性。利用新方法，最近确定了6维系统的混沌吸引子，这可能具有显着的心理和行为影响。结果表明，通过采用这些定量工具，研究人员可能更接近更完全理解压力和应对的动态性质。此外，我们可以更好地控制和预测短期内的不良压力和应对行为及其相关的精神病理学。根据6维模型，应力和应对过程最小地需要累积的外源压力源水平，励磁唤起，认知评估和认知效率，应对行为和自我调节机制，即适当改变外部压力源水平和应对活动。此外，虽然心理文献是用压力的口头概念和应对动态，交易和时间不断发展的过程，但这6维模型包括通过应用微积分的数学来定量这些非正式陈述的第一次尝试之一。虽然其他研究人员利用主要由言语猜想和非正式推理的实质性认知关系模型成功地描述了压力和应对，但是本模型传达了一种原型，量化的框架，其是系统性，时间依赖性，递归和双向的。

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