Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model

Viktor Avrutin, Iryna Sushko, Fabio Tramontana

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3 Citazioni (Scopus)


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
Stato di pubblicazionePubblicato - 2014


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


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