Show Summary Details

Page of

PRINTED FROM OXFORD HANDBOOKS ONLINE ( © Oxford University Press, 2022. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a title in Oxford Handbooks Online for personal use (for details see Privacy Policy and Legal Notice).

date: 25 May 2022

Abstract and Keywords

Historically it has been easier to focus on measuring and describing differences between groups of people rather than try to describe the dynamic ways that individuals change. Dynamical systems are mathematical models that aim to describe how constructs change over time. Frequently these models are continuous time models; models that try to capture the function that underlies a set of observations. This chapter introduces the concept of a dynamical system and of continuous time models. Two methods are introduced for the fitting of continuous time models to observed data: one using the approximate discrete model for a first-order autoregressive model and the second using a method of estimating latent derivatives for a second-order autoregressive model.

Keywords: Dynamical System(s), Dynamic System(s), Continuous Time, Discrete Time, Differential Equation Model(s)(ing), Derivative Estimation, Approximate Discrete Model

Access to the complete content on Oxford Handbooks Online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can''t find the answer there, please contact us.