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SMALL DISCOVERIES CAN HAVE GREAT CONSEQUENCES IN LOVE AFFAIRS: THE CASE OF BEAUTY AND THE BEAST

SERGIO RINALDI

Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy

Evolution and Ecology Program, International Institute for Applied Systems Analysis, 2361 Laxenburg, Austria

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PIETRO LANDI

Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy

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FABIO DELLA ROSSA

Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy

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https://doi.org/10.1142/S0218127413300383Cited by:17 (Source: Crossref)

Abstract

A mathematical model is proposed for interpreting the love story portrayed by Walt Disney in the film "Beauty and The Beast". The analysis shows that the story is characterized by a sudden explosion of sentimental involvements, revealed by the existence of a saddle-node bifurcation in the model. The paper is interesting not only because it deals for the first time with catastrophic bifurcations in specific romantic relationships, but also because it enriches the list of examples in which love stories are satisfactorily described through Ordinary Differential Equations.

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