Ref: J. C. Sprott, Nonlinear Dynamics, Psychology, and Life Sciences 8, 303-313 (2004).
The complete paper is available in
See the companion paper on Dynamical
Models of Happiness.
A less technical, more personal version of this is in Chapter 18 of my Memoirs.
Return to Sprott's Books and Publications.
Fig 1. Dynamics in the vicinity of an equilibrium point in two dimensions from Eq. 1.
Fig. 2. One solution of the linear love triangle in Eq. 3.
Fig. 3. One solution of the nonlinear Romeo-Juliet dynamic in Eq. 4.
Fig. 4. Strange attractor from the nonlinear love triangle in Eq. 5.
Fig. 5. Chaotic evolution of Romeo's love for Juliet from Eq. 5 showing the effect of changing the initial conditions by 1%.