Dynamical Models of Love and Happiness - Sprott's Gateway

Dynamical Models of Love and Happiness - Sprott's Gateway

14 Pages · 2004 · 250 KB · English

Many things can influence happiness besides love, and there are many feedback loops, most of which are internal to Romeo and do not require a Juliet.

Dynamical Models of Love and Happiness - Sprott's Gateway free download


Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 9, No. 1, January, 2005. © 2005 Society for Chaos Theory in Psychology & Life Sciences. Dynamical Models of Happiness J. C. Sprott, 1 University of Wisconsin, Madison Abstract: A sequence of models for the time evolution of one’s happiness in response to external events is described. These models with added nonlinearities can produce stable osc illations and chaos even without external events. Potential implica tions for psychotherapy and a personal approach to life are discussed Key Words: happiness; hedonics; differential equations; chaos; van der Pol equation INTRODUCTION For many people, the pursuit of happiness is a dominant goal of life, and countless books have been writ ten in an attempt to help readers achieve this goal. However, happine ss is almost certainly a dynamic process, and it would be a dull and lifeless person indeed who did not experience ups and downs. The powe r of mathematics has rarely been applied to the dynamics of happin ess, although some dynamical models of love, which is certainly one sour ce of happiness, have been inspired by the seminal musings of Strogatz (1988, 1994). Essentially the same model was described earlier by Rapoport (1960), and it has also been studied by Radzicki (1993). Related discrete dynamical models of the verbal interaction of married coupl es have recently been advanced by Gottman, et al. (2002). Although St rogatz’s model was originally intended more to motivate students than as a serious description of love affairs, it makes several interesting and plausible predictions and suggests extensions that produce an ev en wider range of behavior. This paper is written in the same spirit and extends the ideas to the temporal response of

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