Assessing the Local Stability Properties of Discrete Three-Dimensional Dynamical Systems: A Geometrical Approach with Triangles and Planes and an Application with Some Cones

Jean-Paul Barinci and Jean-Pierre Drugeon ()
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Jean-Paul Barinci: Université d’Evry Val d’Essonne
Jean-Pierre Drugeon: Paris School of Economics and Centre National de la Recherche Scientifique

Chapter Chapter 2 in Sunspots and Non-Linear Dynamics, 2017, pp 15-39 from Springer

Abstract: Abstract 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.

Keywords: Discrete time dynamical systems; Geometrical approach; Parameterised economies; E32; C62 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:steccp:978-3-319-44076-7_2

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DOI: 10.1007/978-3-319-44076-7_2

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