Period adding structure in a 2D discontinuous model of economic growth

Fabio Tramontana, Iryna Sushko and Viktor Avrutin

Applied Mathematics and Computation, 2015, vol. 253, issue C, 262-273

Abstract: We study the dynamics of a growth model formulated in the tradition of Kaldor and Pasinetti where the accumulation of the ratio capital/workers is regulated by a two-dimensional discontinuous map with triangular structure. We determine analytically the border collision bifurcation boundaries of periodicity regions related to attracting cycles, showing that in a two-dimensional parameter plane these regions are organized in the period adding structure. We show that the cascade of flip bifurcations in the base one-dimensional map corresponds for the two-dimensional map to a sequence of pitchfork and flip bifurcations for cycles of even and odd periods, respectively.

Keywords: Discontinuous maps; Two-dimensional piecewise smooth maps; Border collision bifurcations; Growth models (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:262-273

DOI: 10.1016/j.amc.2014.12.078

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