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Scientific article
Open access
English

A tutorial on ordinary differential equations in behavioral science: What does physics teach us?

First online date2022-08-01
Abstract

The present tutorial proposes to use concepts of physics and mathematics to help behavioral scientists to use differential equations in their studies. It focuses on the first order and the second order (damped oscillator) differential equation. Simple examples allow to detail the meaning of the coefficients, the condition of applicability of these differential equations, the underlying hypothesis and their consequences for the researcher willing to use them. More complex psychological examples demonstrate the importance of parameters’ interpretation. A particular attention is paid to how potential external perturbations should be considered.

eng
Keywords
  • Differential equation
  • Dynamical analysis
  • Longitudinal data
  • Physics
  • Damped oscillator
  • Equilibrium
Funding
  • Swiss National Science Foundation - NCCR LIVES: Overcoming vulnerability - life course perspectives (phase II)
Citation (ISO format)
MONGIN, Denis et al. A tutorial on ordinary differential equations in behavioral science: What does physics teach us? In: Psychological methods, 2022. doi: 10.1037/met0000517
Main files (2)
Article (Accepted version)
accessLevelPublic
Article (Published version)
accessLevelRestricted
Identifiers
ISSN of the journal1082-989X
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99downloads

Technical informations

Creation08/22/2022 12:47:00 PM
First validation08/22/2022 12:47:00 PM
Update time03/16/2023 8:02:28 AM
Status update03/16/2023 8:02:27 AM
Last indexation02/01/2024 8:59:57 AM
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