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Endogenous cycles in discontinuous growth models

Fabio Tramontana (), Laura Gardini () and Anna Agliari ()

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 8, 1625-1639

Abstract: In this paper we consider a discontinuous one-dimensional piecewise linear model describing a neoclassical growth model. These kind of maps are widely used in the applied context. We determine the analytical expressions of border collision bifurcation curves, responsible for the observed dynamics, which consists of attracting cycles of any period and of quasiperiodic trajectories in exceptional cases.

Keywords: Piecewise-linear maps; Border collision bifurcations; Discontinuous maps; Economic growth models (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1016/j.matcom.2010.12.002

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