Border collision bifurcations of superstable cycles in a one-dimensional piecewise smooth map

Serena Brianzoni, Elisabetta Michetti and Iryna Sushko

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 81, issue 1, 52-61

Abstract: We study the dynamics of a one-dimensional piecewise smooth map defined by constant and logistic functions. This map has qualitatively the same dynamics as the one defined by constant and unimodal functions, coming from an economic application. Namely, it contributes to the investigation of a model of the evolution of corruption in public procurement proposed by Brianzoni et al. [4]. Bifurcation structure of the economically meaningful part of the parameter space is described, in particular, the fold and flip border-collision bifurcation curves of the superstable cycles are obtained. We show also how these bifurcations are related to the well-known saddle-node and period-doubling bifurcations.

Keywords: Piecewise smooth maps; Border-collision bifurcations; Corruption in public procurement (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2010:i:1:p:52-61

DOI: 10.1016/j.matcom.2010.06.018

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