An Operator-Like Description of Love Affairs
- 1 January 2010
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 70 (8) , 3235-3251
Abstract
We adopt the so-called 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 quasi-periodic 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 the love triangle to have periodic or quasi-periodic solutions. Numerical solutions are exhibited in the nonlinear case.Keywords
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