Ref: J. C. Sprott, Nonlinear Dynamics, Psychology, and Life Sciences 9, 23-36 (2005).
The complete paper is available in
See the companion paper on Dynamical
Models of Love
A less technical, more personal version of this is in Chapter 18
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Fig. 1. Possible responses of the happiness model in Eq. 1 to an isolated event.
Fig. 2. Response of happiness (H) to a single event like winning the lottery from Eq. 1 with critical damping.
Fig. 3. Response of happiness (H) to a periodic stimulus such as drug addiction from Eq. 2.
Fig. 4. Response of happiness (H) to Gaussian white noise typical of real life from Eq. 2.
Fig. 5. Limit cycle behavior modeling a bipolar disorder from Eq. 3.
Fig. 6. Chaotic behavior of happiness (H) with a periodic forcing from Eq. 3.
Fig. 7. Strange attractor from the happiness model with anticipation in Eq. 4.