A local stability theory of nonsmooth periodic orbits: example II

This paper considers an application of a local theory of exponentially asymptotically stability of nonsmooth periodic orbits derived from a planar dynamical system of autonomous ordinary differential equations with discontinuous right-hand side. Such dynamical systems are encountered in economic modelling in the context of economic growth. In this paper, we revisit an example considered in a companion paper of
this journal and show that the explicit solution of the dynamical system is not required in showing exponentially asymptotically stability. We also provide a formula for the basin of attraction. The cost of the new method is also assessed.