Dynamical Systems Modeling: An Application to the Regulation of Intimacy and Disclosure in Marriage

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Abstract
This chapter offers an introduction to coupled differential equation models of self-regulating dynamical systems. It then characterizes a method for approximating the parameters of such models and works through an application of this method to self-disclosure and feelings of intimacy on a sample of married couples. The methods used include Local Linear Approximation (LLA) of derivatives and multilevel modeling, to take into account and estimate the individual differences in parameters of the differential equations. The authors chose to use LLA and multilevel modeling, since this provides a straightforward and simple approach to the approximation of parameters of the models. Innovations in the longitudinal data modeling have led to the development of theories that were modeled and tested using differential equations.

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