This paper presents a unified framework of different algorithms to numerically compute high order expansions of invariant manifolds associated to a steady state of a dynamical system. The framework is inspired in the parameterization method of Cabré et al. [2003. The parameterization method for...

In this paper, we present some techniques used in the dynamical systems literature that let us characterize the stable and unstable manifolds of a given dynamical system. As a result, we can study how an economy behaves as it moves far away from the steady state in an environment where economic...