Assessing the Local Stability Properties of Discrete Three-Dimensional Dynamical Systems: A Geometrical Approach with Triangles and Planes and an Application with Some Cones
Book section: The difficulties associated with the appraisal of the determinacy properties of a three-dimensional system are circumvented by the introduction of a new geometrical argument. It brings about a complete typology of the eigenvalues moduli in discrete time three-dimensional dynamical systems and then provides a new apparatus for assessing from a geometrical standpoint the emergence of local bifurcations for parameterised economies. The argument is considered through the extensive characterisation of the stability properties of a benchmark model of inter-temporal economic analysis.
Author(s)
Jean-Pierre Drugeon, Jean-Paul Barinci
Title of the work
- Studies in Economic Theory
Date of publication
- 2017
Keywords
- Discrete time dynamical systems
- Geometrical approach
- Parameterised economies
URL of the HAL notice
Version
- 1