Dynamical Models of Love

J. C. Sprott, University of Wisconsin, Madison

Abstract: Following a suggestion of Strogatz, this paper examines a sequence of dynamical models involving coupled ordinary differential equations describing the time-variation of the love or hate displayed by individuals in a romantic relationship. The models start with a linear system of two individuals and advance to love triangles and finally to include the effect of nonlinearities, which are shown to produce chaos.

Keywords: love, romance, differential equations, chaos