The area that has probably received most applications of qualitative dynamical systems is the study of business cycles and economic fluctuations. The majority of applications have employed the standard theory of bifurcations which deals with dynamical systems defined on open sets. In particular,...

When crossing the boundary of stability of a given dynamical system only indicates a bifurcation point and the type of the bifurcating solutions. But it doesn't tell us how and how many new solutions bifurcate or disappear in a bifurcation point. To answer this question one has to take into...

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...

The authors study optimal monetary policy in a model in which fiat money and private debt coexist as a means of payment. The credit system is endogenous and allows buyers to relax their cash constraints. However, it is costly for agents to publicly report their trades, which is necessary for the...

In this paper, we show that Ricardian equivalence does not hold in a representative agent framework if one considers goods whose current consumption affect future marginal utilities. We find that, when the intertemporal elasticity of substitution changes over time, the timing of lump sum...