Catastrophe models and the expansion method: A review of issues and an application to the econometric modeling of economic growth.
Chaotic dynamics in a flexible exchange rate system: a study of noise effects.
Complex dynamics in a nonlinear cobweb model for real estate market.
Conservation laws and symmetry in economic growth models: a geometrical approach.
The aim of the present paper is twofold. On one hand, we present a classification of infinitesimal symmetries for Lagrangian systems, and the corresponding Noether theorems. The derivation of the result is made by using the symplectic techniques. Some of the results were previously obtained by other authors (see Prince (1985) for instance), and an exhaustive presentation can be found in de León and Martín de Diego (1995, 1996). Let us note that these results are true even if the Lagrangian function...
Control of a neoclassic economic model
Control of linear systems with rational expectations. The case of incomplete information.
The problem of optimal control of linear economic systems with rational expectations and quadratic objective function is solved for the case of incomplete information. The case of complete information has been previously studied. In both problems the hypothesis of causality is not satisfied and, therefore, the standard techniques of control theory cannot be directly applied, though the method used is based on these techniques.
Coupled flare attractors -- a discrete prototype for economic modelling.