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.
Avrutin, V., Sushko, I., Tramontana, F., Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model, <<ABSTRACT AND APPLIED ANALYSIS>>, 2014; 2014 (N/A): 1-12. [doi:10.1155/2014/401319] [http://hdl.handle.net/10807/67352]
Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model
Sushko, Iryna;Tramontana, Fabio
2014
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.
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