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.
Tramontana, F., Agliari, A., Gardini, L., Endogenous cycles in discontinuous growth models, <<MATHEMATICS AND COMPUTERS IN SIMULATION>>, 2011; (81): 1625-1639. [doi:10.1016/j.matcom.2010.12.002] [http://hdl.handle.net/10807/5357]
Endogenous cycles in discontinuous growth models
Tramontana, Fabio;Agliari, Anna;
2011
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.
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