6533b7ddfe1ef96bd1274b1c
RESEARCH PRODUCT
An operator-like description of love affairs
Fabio BagarelloFrancesco Oliverisubject
Physics - Physics and SocietyPure mathematicsLove affairDynamical systems theoryApplied MathematicsBosonic operators; Heisenberg-like dynamics; Dynamical systems; Numerical integration of ordinary differential equationsLinear modelFOS: Physical sciencesPhysics and Society (physics.soc-ph)Canonical commutation relationNonlinear systemTheoretical physicsNumber representationAlice and BobSettore MAT/07 - Fisica MatematicaMathematicsdescription
We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibited in the nonlinear case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-01 |