Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model

Fabio Tramontana, Viktor Avrutin, Iryna Sushko

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

3 Citazioni (Scopus)

Abstract

We study the bifurcation structure of the parameter space of a 1D continuous piecewise linear bimodal map which describes dynamics of a business cycle model introduced by Day-Shafer. In particular, we obtain the analytical expression of the boundaries of several periodicity regions associated with attracting cycles of the map (principal cycles and related fin structure). By crossing these boundaries the map displays robust chaos.
Lingua originaleEnglish
pagine (da-a)1-12
Numero di pagine12
RivistaAbstract and Applied Analysis
Volume2014
DOI
Stato di pubblicazionePubblicato - 2014

Keywords

  • Bimodal map
  • Border Collision Bifurcations
  • Business cycle
  • Piecewise-linear map

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