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2014 Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model
Viktor Avrutin, Iryna Sushko, Fabio Tramontana
Abstr. Appl. Anal. 2014: 1-12 (2014). DOI: 10.1155/2014/401319


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.


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Viktor Avrutin. Iryna Sushko. Fabio Tramontana. "Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model." Abstr. Appl. Anal. 2014 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022316
MathSciNet: MR3283407
Digital Object Identifier: 10.1155/2014/401319

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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