An Operator--like Description of Love Affairs

Fabio Bagarello, Francesco Oliveri

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


We adopt the so--called \emph{occupation number representation}, originally used inquantum mechanics and recentlyconsidered in the description of stock markets, in the analysis ofthe 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.
Original languageEnglish
Pages (from-to)3235-3251
Number of pages17
JournalSIAM Journal on Applied Mathematics
Publication statusPublished - 2010

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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