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.
Original languageEnglish
Pages (from-to)1625-1639
Number of pages15
JournalMathematics and Computers in Simulation
Publication statusPublished - 2011


  • Economic Growth Models
  • border collision bifurcations
  • piecewise linear maps


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