Endogenous cycles in discontinuous growth models

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.

• Type: Journal
• Year: 2011
• Where: MCS
• Authors: Fabio Tramontana, Laura Gardini, Anna Agliari
• Keywords: Border Collision Bifurcation, Discontinuous One-dimensional Piecewise, MCS 2011, Neoclassical Growth Model, Pattern Recognition