Hero's journey in bifurcation diagram


Autoria(s): Monteiro, Luiz Henrique Alves; Mustaro, P. N.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

04/11/2013

04/11/2013

2012

Resumo

The hero's journey is a narrative structure identified by several authors in comparative studies on folklore and mythology. This storytelling template presents the stages of inner metamorphosis undergone by the protagonist after being called to an adventure. In a simplified version, this journey is divided into three acts separated by two crucial moments. Here we propose a discrete-time dynamical system for representing the protagonist's evolution. The suffering along the journey is taken as the control parameter of this system. The bifurcation diagram exhibits stationary, periodic and chaotic behaviors. In this diagram, there are transition from fixed point to chaos and transition from limit cycle to fixed point. We found that the values of the control parameter corresponding to these two transitions are in quantitative agreement with the two critical moments of the three-act hero's journey identified in 10 movies appearing in the list of the 200 worldwide highest-grossing films. (C) 2011 Elsevier B.V. All rights reserved.

CNPq

CNPq

Identificador

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, AMSTERDAM, v. 17, n. 6, supl. 1, Part 3, pp. 2233-2236, JUN, 2012

1007-5704

http://www.producao.usp.br/handle/BDPI/37994

10.1016/j.cnsns.2011.09.035

http://dx.doi.org/10.1016/j.cnsns.2011.09.035

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Direitos

closedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #CHAOS #GAUSSIAN MAP #HERO'S JOURNEY #PERIOD-HALVING BIFURCATION #SADDLE-NODE BIFURCATION #SYSTEMS #CHAOS #MODEL #MATHEMATICS, APPLIED #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS #MECHANICS #PHYSICS, FLUIDS & PLASMAS #PHYSICS, MATHEMATICAL
Tipo

article

original article

publishedVersion