Bifurcation structure in a bimodal piecewise linear business cycle model

Viktor Avrutin, Irina Sushko and Fabio Tramontana
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Viktor Avrutin: DESP, University of Urbino and IST, University of Stuttgart, Germany
Irina Sushko: Institute of Mathematics, National Academy of Sciences of Ukraine

No 76, DEM Working Papers Series from University of Pavia, Department of Economics and Management

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 ?n structure) crossing which the map has robust chaotic behavior.

Pages: 22 pages
Date: 2014-04
New Economics Papers: this item is included in nep-bec and nep-mac
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Related works:
Journal Article: Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model (2014)
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