Hero's journey in bifurcation diagram

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dc.contributor.authorMonteiro L.H.A.
dc.contributor.authorMustaro P.N.
dc.date.accessioned2024-03-13T01:08:03Z
dc.date.available2024-03-13T01:08:03Z
dc.date.issued2012
dc.description.abstractThe 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. © 2011 Elsevier B.V.
dc.description.firstpage2233
dc.description.issuenumber6
dc.description.lastpage2236
dc.description.volume17
dc.identifier.doi10.1016/j.cnsns.2011.09.035
dc.identifier.issn1007-5704
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/36807
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.rightsAcesso Restrito
dc.subject.otherlanguageChaos
dc.subject.otherlanguageGaussian map
dc.subject.otherlanguageHero's journey
dc.subject.otherlanguagePeriod-halving bifurcation
dc.subject.otherlanguageSaddle-node bifurcation
dc.titleHero's journey in bifurcation diagram
dc.typeArtigo
local.scopus.citations4
local.scopus.eid2-s2.0-84855210044
local.scopus.subjectBifurcation diagram
local.scopus.subjectChaotic behaviors
local.scopus.subjectComparative studies
local.scopus.subjectControl parameters
local.scopus.subjectCritical moment
local.scopus.subjectDiscrete-time dynamical systems
local.scopus.subjectFixed points
local.scopus.subjectGaussian map
local.scopus.subjectHero's journey
local.scopus.subjectLimit cycle
local.scopus.subjectNarrative structures
local.scopus.subjectQuantitative agreement
local.scopus.subjectSaddle node bifurcation
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84855210044&origin=inward
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