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.

Bagarello, F., Oliveri, F. (2010). An Operator--like Description of Love Affairs. SIAM JOURNAL ON APPLIED MATHEMATICS, 70(8), 3235-3251 [10.1137/10079985X].

An Operator--like Description of Love Affairs

BAGARELLO, Fabio;
2010-01-01

Abstract

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.
2010
Settore MAT/07 - Fisica Matematica
Bagarello, F., Oliveri, F. (2010). An Operator--like Description of Love Affairs. SIAM JOURNAL ON APPLIED MATHEMATICS, 70(8), 3235-3251 [10.1137/10079985X].
File in questo prodotto:
File Dimensione Formato  
2010OliSIAP.pdf

Solo gestori archvio

Dimensione 596.43 kB
Formato Adobe PDF
596.43 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/62525
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 27
  • ???jsp.display-item.citation.isi??? 23
social impact