Practical Tools and Guidelines for Exploring and Fitting Linear and Nonlinear Dynamical Systems Models

Practical Tools and Guidelines for Exploring and Fitting Linear and Nonlinear Dynamical Systems Models
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DOI:
10.1080/00273171.2019.1566050
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发表时间:
2019-09-03
影响因子:
3.8
通讯作者:
Chow, Sy-Miin
Chow, Sy-Miin
中科院分区:
心理学3区
文献类型:
--
作者:
Chow, Sy-Miin

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动力系统是一个变量系统,随着时间的推移,它们的演变表现出一定的规律性。大多数动态系统模型中描述的变化概念对于社会和行为科学家来说绝不是新颖的,但动态建模技术在这些学科中的大多数应用都基于变化理论的狭窄子集(通常是线性理论)。我在四个说明性示例的背景下提供实用指南、建议和软件代码,用于探索和拟合具有线性和非线性变化函数的动力系统模型。讨论了使用这些技术时的注意事项、挑战和未解决的问题。
A dynamical system is a system of variables that show some regularity in how they evolve over time. Change concepts described in most dynamical systems models are by no means novel to social and behavioral scientists, but most applications of dynamic modeling techniques in these disciplines are grounded on a narrow subset of-typically linear-theories of change. I provide practical guidelines, recommendations, and software code for exploring and fitting dynamical systems models with linear and nonlinear change functions in the context of four illustrative examples. Cautionary notes, challenges, and unresolved issues in utilizing these techniques are discussed.